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style="width: 100%;"><div class="u-taCenter"></div><div class="profile--tab_content_container js-tab-pane tab-pane active" id="all"><div class="profile--tab_heading_container js-section-heading" data-section="Papers" id="Papers"><h3 class="profile--tab_heading_container">Papers by Francine F Abeles</h3></div><div class="js-work-strip profile--work_container" data-work-id="112165751"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/112165751/An_Introduction_to_Statistical_Methods_and_Data_Analysis"><img alt="Research paper thumbnail of An Introduction to Statistical Methods and Data Analysis" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/112165751/An_Introduction_to_Statistical_Methods_and_Data_Analysis">An Introduction to Statistical Methods and Data Analysis</a></div><div class="wp-workCard_item"><span>Journal of the American Statistical Association</span><span>, 1983</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In the sixth edition of An Introduction to Statistical Methods and Data Analysis Ott and Longneck...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In the sixth edition of An Introduction to Statistical Methods and Data Analysis Ott and Longnecker further expand the depth of material found in the previous editions with several enhancements and additions. The target audience continues to be advanced ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="112165751"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="112165751"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 112165751; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=112165751]").text(description); $(".js-view-count[data-work-id=112165751]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 112165751; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='112165751']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 112165751, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=112165751]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":112165751,"title":"An Introduction to Statistical Methods and Data Analysis","translated_title":"","metadata":{"abstract":"In the sixth edition of An Introduction to Statistical Methods and Data Analysis Ott and Longnecker further expand the depth of material found in the previous editions with several enhancements and additions. 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Dodgson (Lewis Carroll)","translated_title":"","metadata":{"grobid_abstract":"In the preface to his book Lewis Carroll in Numberland, Robin Wilson asked three questions about Dodgson's mathematics: What mathematics did he do? How good a mathematician was he? How influential was his work? Here we build on the material of the previous chapters with the goal of answering these questions and a few more. This chapter is organized into seven sections: geometry, trigonometry, algebra, logic, voting, probability, and cryptology. In these sections we examine the state of the subject during Dodgson's time, the important mathematical ideas and methods that he created or developed, the mathematicians that he worked with or influenced, his relevant publications and those by other mathematicians who may have influenced him, the mathematical ideas and methods that his work foreshadowed in the 20th century, and some modern mathematicians who have been inspired by his work. 1 Geometry Public perception of Dodgson's geometrical work came from the Dover republication in 1973 of the second (1885) edition of Euclid and His Modern Rivals. That volume dealt primarily with his work as the mathematics lecturer at Christ Church, and with his firm belief in the value of Euclid as the main vehicle for teaching geometry to undergraduates. How different the perception of Dodgson as a geometer might have been had Dover also chosen to publish his Curiosa Mathematica, Part I. A New Theory of Parallels, which appeared nine years after the first appearance of Euclid and his Modern Rivals. Here we see Dodgson as a mature mathematician, fully aware of the non-Euclidean geometries that had been discovered earlier in the century. As a deeply religious man Dodgson considered his mathematical abilities to be a gift that he should use in the service of God, and he linked his work in geometry with his religious beliefs through the way he perceived natural theology and the nature of mathematical truth. In his time mathematics was considered uniquely capable of generating truths from axioms that captured the nature of reality. His need to study and develop logical rules for reasoning reflected this conviction. The Parallel Postulate In his introduction to the 1885 edition of Dodgson's Euclid and his Modern Rivals, the eminent British-born Canadian geometer H. S. M. Coxeter wrote, concerning two of Dodgson's tables of results related to the parallel postulate: 2 GEOMETRY 1 \"Tables I and Il are his nearest approach to the subject of non-Euclidean geometry... One is tempted to speculate on what might have happened if Cayley or Clifford had met Dodgson and convinced him that there is a logically consistent \"hyperbolic\" geometry in which the \"absolute\" propositions in Table I still hold while all the statements in Table Il are false (and the nineteenth proposition fails for any sufficiently large circle).\" The 19th proposition that Coxeter referred to here is: In every circle, the inscribed equilateral hexagon is greater [in area] than any one of the segments that lie outside it, This was Dodgson's unusual alternative to Euclid's parallel postulate (see Chapter 2). Note that it is a closed form that avoids the diffculty of knowing how parallel lines behave at infinity-Whether they remain apart, as in Euclidean geometry, or whether they become infinitesimally close, as in hyperbolic geometry. Dodgson recognized the existence of both hyperbolic and elliptic geometries. His assessment of hyperbolic geometry was negative-and we will explore his reasons for this-but he rejected elliptic geometry entirely. Adhering to his own interpretation of Euclid's geometry he could not logically accept hyperbolic geometry, and because his idea of an axiom was based on an average person's acceptance without proof, he objected to the tacit appearance of infinities and infinitesimals in Euclidean geometry. Dodgson was alert to issues about Euclid's geometry appearing in scientific journals. A long article, 'Chats about geometrical measurement', which took the form of a dialogue between two characters A. and M., appeared in the 24 October 1884 issue of Knowledge, a weekly popular science journal, written by its editor, Richard Proctor. Two weeks later Dodgson's response to it, entitled 'Euclid's theory of parallels', was published. His response dealt with comments that Proctor had made, which Dodgson faulted from a logical point ofview. 3 Dodgson's attempt to dispense with Euclid's parallel postulate was his reason for writing A New Iheory of Parallels, first published in July 1888. His aim was to replace Euclid's axiom with one that would be 'intuitively' true-by which he meant an axiom that does not involve infinities and infinitesimals. He regarded Euclid's parallel postulate","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"The Mathematical World of Charles L. 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Whately, W. Hamilton, and in added material, also J. S. Mill, before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Although not appreciated until the first third of the twentieth century, Boole's fundamental law of thought, x 2 = x, initiated an analysis of how the algebra of logic differs from ordinary algebra, and subsequently, gave rise to a new inference rule, resolution. In an added section, I provide a roadmap of this development and then discuss the relevant views of four prominent but underappreciated nineteenth-century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on "implication as inference" where I explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas leading to the mechanization of inference schemes.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="9bd45bbc85a49ce2be32033794b53415" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":97613943,"asset_id":95428448,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/97613943/download_file?st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="95428448"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="95428448"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 95428448; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=95428448]").text(description); $(".js-view-count[data-work-id=95428448]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 95428448; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='95428448']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 95428448, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "9bd45bbc85a49ce2be32033794b53415" } } $('.js-work-strip[data-work-id=95428448]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":95428448,"title":"Inference in Nineteenth-Century British Logic","translated_title":"","metadata":{"abstract":"I trace the development of implication as an inference operator using as the starting point the ideas primarily of R. 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Gentzen who together are responsible for the development of the modern ideas leading to the mechanization of inference schemes.","publication_date":{"day":null,"month":null,"year":2023,"errors":{}},"publication_name":"Logica Universalis"},"translated_abstract":"I trace the development of implication as an inference operator using as the starting point the ideas primarily of R. Whately, W. Hamilton, and in added material, also J. S. Mill, before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Although not appreciated until the first third of the twentieth century, Boole's fundamental law of thought, x 2 = x, initiated an analysis of how the algebra of logic differs from ordinary algebra, and subsequently, gave rise to a new inference rule, resolution. In an added section, I provide a roadmap of this development and then discuss the relevant views of four prominent but underappreciated nineteenth-century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on \"implication as inference\" where I explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas leading to the mechanization of inference schemes.","internal_url":"https://www.academia.edu/95428448/Inference_in_Nineteenth_Century_British_Logic","translated_internal_url":"","created_at":"2023-01-21T10:58:48.605-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":24588114,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":97613943,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/97613943/thumbnails/1.jpg","file_name":"Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023.pdf","download_url":"https://www.academia.edu/attachments/97613943/download_file?st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Inference_in_Nineteenth_Century_British.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/97613943/Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023-libre.pdf?1674330138=\u0026response-content-disposition=attachment%3B+filename%3DInference_in_Nineteenth_Century_British.pdf\u0026Expires=1732760627\u0026Signature=N7mGJcNOdVVJBYGPYVvGAOtc99OFGpAP~uREBHu01zKuj9XSSQ2U5q3KKnOZUeOfb22WuCAXObHaHFH9dSqVt1Gv-9~magl5OkqjfOnifaIx5bmKfvVHz~Z-o0w4VxZIjtT8iezuujLy1LDa2~WsIwFP7xUzTddefs26nr9DSPDS4tRSgpevtkaae3EbxZdKp6Do~wGr4PkOYT02BdTyIxs8xDXArAiJ-TRL9UJrzDz6xdaPSD8KQ8TfPGkpcvxs41yVE-AvGpi-QA2XxPiFz0Y6umoU8FzH-Nws89PGc~48JG3gyPaAWAwk454ZrX8ehvqiC5KpK51It9aSyg-WYA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Inference_in_Nineteenth_Century_British_Logic","translated_slug":"","page_count":19,"language":"en","content_type":"Work","owner":{"id":24588114,"first_name":"Francine","middle_initials":"F","last_name":"Abeles","page_name":"FrancineAbeles","domain_name":"kean","created_at":"2015-01-09T15:30:14.834-08:00","display_name":"Francine F Abeles","url":"https://kean.academia.edu/FrancineAbeles"},"attachments":[{"id":97613943,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/97613943/thumbnails/1.jpg","file_name":"Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023.pdf","download_url":"https://www.academia.edu/attachments/97613943/download_file?st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Inference_in_Nineteenth_Century_British.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/97613943/Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023-libre.pdf?1674330138=\u0026response-content-disposition=attachment%3B+filename%3DInference_in_Nineteenth_Century_British.pdf\u0026Expires=1732760627\u0026Signature=N7mGJcNOdVVJBYGPYVvGAOtc99OFGpAP~uREBHu01zKuj9XSSQ2U5q3KKnOZUeOfb22WuCAXObHaHFH9dSqVt1Gv-9~magl5OkqjfOnifaIx5bmKfvVHz~Z-o0w4VxZIjtT8iezuujLy1LDa2~WsIwFP7xUzTddefs26nr9DSPDS4tRSgpevtkaae3EbxZdKp6Do~wGr4PkOYT02BdTyIxs8xDXArAiJ-TRL9UJrzDz6xdaPSD8KQ8TfPGkpcvxs41yVE-AvGpi-QA2XxPiFz0Y6umoU8FzH-Nws89PGc~48JG3gyPaAWAwk454ZrX8ehvqiC5KpK51It9aSyg-WYA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="95117299"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/95117299/Hugh_MacColl_after_One_Hundred_Years"><img alt="Research paper thumbnail of Hugh MacColl after One Hundred Years" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/95117299/Hugh_MacColl_after_One_Hundred_Years">Hugh MacColl after One Hundred Years</a></div><div class="wp-workCard_item"><span>History and Philosophy of Logic</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathem...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathematician, philosopher, novelist and eminent logician. The volume includes papers from the MacColl centenary meeting (9–10 October 2009) at Boulogne-sur-Mer, the city where MacColl lived from 1865 until his death in 1909. This meeting can be seen as the prosecution of the Colloquium Hugh MacColl and the Tradition of Logic, which took place in Greifswald (Germany) in 1998.2 There is a considerable amount of common participants in both events and there is the common idea that MacColl’s intellectual heritage comprises a plurality of directions, which is mirrored in the interdisciplinary approaches of the participants of both meetings. Undoubtedly, his contributions to logic were the most outstanding intellectual attainments of MacColl and consequently the starting point of the modern MacColl scholarship. However, it would give a one-sided picture of MacColl, if the research concerning his logical ideas would be not accompanied, as done in the meetings in Greifswald and Boulogne, by the appreciation of other intellectual domains of MacColl’s work, like mathematics or literature. The volume is opened (pp. 7–29) by the reprint of the paper A Survey of the Life of Hugh MacColl (1837–1909) by Michael Astroh, Ivor Grattan-Guinness and Stephen Read.3 The authors deliver in a concise way very interesting and detailed information about the personal and professional life of MacColl, which was unknown to a big extent before the first publication of this paper. While the first paper of the volume gives a biographical survey about the material and institutional life of MacColl, the second paper Outside the Intellectual Mainstream? The Successes and Failures of Hugh MacColl (pp. 31–53) by Stein Haugom Olson deals with the intellectual life of MacColl and its integration into the main intellectual developments starting from the second half of the nineteenth century. Olson underlines that MacColl in addition to his logical works wrote a short story, a poem, and a couple of novels, which can be characterized as belonging to a kind of cultural criticism. MacColl exposed in these works of literature his deep concern with two main topics of the intellectual life during the Victorian period: first the rising importance of science and its influence on the manner of thinking and second the decline of the importance of religion and religious thinking. Even concerning central questions of the Victorian period, the cultural criticism of MacColl had the same fate as his revolutionary ideas concerning logic: they were being widely ignored until very recently and without influence on the intellectual mainstream. Olson’s paper is focused on the question, why in spite of MacColl’s outstanding intellectual skills his cultural criticism found almost no attentiveness by his contemporaries and the following generation. As causes for the neglect of MacColl’s ideas, Olson identifies the way in which MacColl presents these ideas to the public and his outsider position in relation to the British society. There is on the one side his spatial distance from the center of British intellectual life, living far away from London in a little French provincial town without any contact with the metropolitan literature and cultural developments. This dividedness from the leading</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="95117299"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="95117299"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 95117299; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=95117299]").text(description); $(".js-view-count[data-work-id=95117299]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 95117299; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='95117299']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 95117299, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=95117299]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":95117299,"title":"Hugh MacColl after One Hundred Years","translated_title":"","metadata":{"abstract":"The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathematician, philosopher, novelist and eminent logician. The volume includes papers from the MacColl centenary meeting (9–10 October 2009) at Boulogne-sur-Mer, the city where MacColl lived from 1865 until his death in 1909. This meeting can be seen as the prosecution of the Colloquium Hugh MacColl and the Tradition of Logic, which took place in Greifswald (Germany) in 1998.2 There is a considerable amount of common participants in both events and there is the common idea that MacColl’s intellectual heritage comprises a plurality of directions, which is mirrored in the interdisciplinary approaches of the participants of both meetings. Undoubtedly, his contributions to logic were the most outstanding intellectual attainments of MacColl and consequently the starting point of the modern MacColl scholarship. However, it would give a one-sided picture of MacColl, if the research concerning his logical ideas would be not accompanied, as done in the meetings in Greifswald and Boulogne, by the appreciation of other intellectual domains of MacColl’s work, like mathematics or literature. The volume is opened (pp. 7–29) by the reprint of the paper A Survey of the Life of Hugh MacColl (1837–1909) by Michael Astroh, Ivor Grattan-Guinness and Stephen Read.3 The authors deliver in a concise way very interesting and detailed information about the personal and professional life of MacColl, which was unknown to a big extent before the first publication of this paper. While the first paper of the volume gives a biographical survey about the material and institutional life of MacColl, the second paper Outside the Intellectual Mainstream? The Successes and Failures of Hugh MacColl (pp. 31–53) by Stein Haugom Olson deals with the intellectual life of MacColl and its integration into the main intellectual developments starting from the second half of the nineteenth century. Olson underlines that MacColl in addition to his logical works wrote a short story, a poem, and a couple of novels, which can be characterized as belonging to a kind of cultural criticism. MacColl exposed in these works of literature his deep concern with two main topics of the intellectual life during the Victorian period: first the rising importance of science and its influence on the manner of thinking and second the decline of the importance of religion and religious thinking. Even concerning central questions of the Victorian period, the cultural criticism of MacColl had the same fate as his revolutionary ideas concerning logic: they were being widely ignored until very recently and without influence on the intellectual mainstream. Olson’s paper is focused on the question, why in spite of MacColl’s outstanding intellectual skills his cultural criticism found almost no attentiveness by his contemporaries and the following generation. As causes for the neglect of MacColl’s ideas, Olson identifies the way in which MacColl presents these ideas to the public and his outsider position in relation to the British society. There is on the one side his spatial distance from the center of British intellectual life, living far away from London in a little French provincial town without any contact with the metropolitan literature and cultural developments. This dividedness from the leading","publisher":"Informa UK Limited","publication_date":{"day":null,"month":null,"year":2013,"errors":{}},"publication_name":"History and Philosophy of Logic"},"translated_abstract":"The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathematician, philosopher, novelist and eminent logician. The volume includes papers from the MacColl centenary meeting (9–10 October 2009) at Boulogne-sur-Mer, the city where MacColl lived from 1865 until his death in 1909. This meeting can be seen as the prosecution of the Colloquium Hugh MacColl and the Tradition of Logic, which took place in Greifswald (Germany) in 1998.2 There is a considerable amount of common participants in both events and there is the common idea that MacColl’s intellectual heritage comprises a plurality of directions, which is mirrored in the interdisciplinary approaches of the participants of both meetings. Undoubtedly, his contributions to logic were the most outstanding intellectual attainments of MacColl and consequently the starting point of the modern MacColl scholarship. However, it would give a one-sided picture of MacColl, if the research concerning his logical ideas would be not accompanied, as done in the meetings in Greifswald and Boulogne, by the appreciation of other intellectual domains of MacColl’s work, like mathematics or literature. The volume is opened (pp. 7–29) by the reprint of the paper A Survey of the Life of Hugh MacColl (1837–1909) by Michael Astroh, Ivor Grattan-Guinness and Stephen Read.3 The authors deliver in a concise way very interesting and detailed information about the personal and professional life of MacColl, which was unknown to a big extent before the first publication of this paper. While the first paper of the volume gives a biographical survey about the material and institutional life of MacColl, the second paper Outside the Intellectual Mainstream? The Successes and Failures of Hugh MacColl (pp. 31–53) by Stein Haugom Olson deals with the intellectual life of MacColl and its integration into the main intellectual developments starting from the second half of the nineteenth century. Olson underlines that MacColl in addition to his logical works wrote a short story, a poem, and a couple of novels, which can be characterized as belonging to a kind of cultural criticism. MacColl exposed in these works of literature his deep concern with two main topics of the intellectual life during the Victorian period: first the rising importance of science and its influence on the manner of thinking and second the decline of the importance of religion and religious thinking. Even concerning central questions of the Victorian period, the cultural criticism of MacColl had the same fate as his revolutionary ideas concerning logic: they were being widely ignored until very recently and without influence on the intellectual mainstream. Olson’s paper is focused on the question, why in spite of MacColl’s outstanding intellectual skills his cultural criticism found almost no attentiveness by his contemporaries and the following generation. As causes for the neglect of MacColl’s ideas, Olson identifies the way in which MacColl presents these ideas to the public and his outsider position in relation to the British society. There is on the one side his spatial distance from the center of British intellectual life, living far away from London in a little French provincial town without any contact with the metropolitan literature and cultural developments. This dividedness from the leading","internal_url":"https://www.academia.edu/95117299/Hugh_MacColl_after_One_Hundred_Years","translated_internal_url":"","created_at":"2023-01-16T13:32:03.414-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":24588114,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Hugh_MacColl_after_One_Hundred_Years","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":24588114,"first_name":"Francine","middle_initials":"F","last_name":"Abeles","page_name":"FrancineAbeles","domain_name":"kean","created_at":"2015-01-09T15:30:14.834-08:00","display_name":"Francine F Abeles","url":"https://kean.academia.edu/FrancineAbeles"},"attachments":[],"research_interests":[{"id":803,"name":"Philosophy","url":"https://www.academia.edu/Documents/in/Philosophy"},{"id":725031,"name":"History and Philosophy of Logic","url":"https://www.academia.edu/Documents/in/History_and_Philosophy_of_Logic"}],"urls":[{"id":28117810,"url":"http://www.tandfonline.com/doi/pdf/10.1080/01445340.2013.777501"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="86095185"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/86095185/Mathematical_legacy"><img alt="Research paper thumbnail of Mathematical legacy" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/86095185/Mathematical_legacy">Mathematical legacy</a></div><div class="wp-workCard_item"><span>The Mathematical World of Charles L. Dodgson (Lewis Carroll)</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This chapter re-examines Dodgson’s achievements during his lifetime, and how some of them resurfa...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This chapter re-examines Dodgson’s achievements during his lifetime, and how some of them resurfaced in the 20th century. 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The Political Pamphlets and Letters of Charles Lutwidge Dodgson and Related Pieces: A Mathematical Approach. Compiled, with introductory essays, notes, and annotations, by, Francine F. Abeles. (Pamphlets of Lewis Carroll, 3.) xx + 260 pp., illus., tables, app., bibl., ..." class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/86095174/Charles_Lutwidge_Dodgson_The_Political_Pamphlets_and_Letters_of_Charles_Lutwidge_Dodgson_and_Related_Pieces_A_Mathematical_Approach_Compiled_with_introductory_essays_notes_and_annotations_by_Francine_F_Abeles_Pamphlets_of_Lewis_Carroll_3_xx_260_pp_illus_tables_app_bibl_">Charles Lutwidge Dodgson. The Political Pamphlets and Letters of Charles Lutwidge Dodgson and Related Pieces: A Mathematical Approach. Compiled, with introductory essays, notes, and annotations, by, Francine F. Abeles. (Pamphlets of Lewis Carroll, 3.) xx + 260 pp., illus., tables, app., bibl., ...</a></div><div class="wp-workCard_item"><span>Isis</span><span>, 2004</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095174"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095174"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095174; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095174]").text(description); $(".js-view-count[data-work-id=86095174]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095174; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095174']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095174, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=86095174]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095174,"title":"Charles Lutwidge Dodgson. 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(Pamphlets of Lewis Carroll, 3.) xx + 260 pp., illus., tables, app., bibl., ...","translated_title":"","metadata":{"publisher":"University of Chicago Press","publication_date":{"day":null,"month":null,"year":2004,"errors":{}},"publication_name":"Isis"},"translated_abstract":null,"internal_url":"https://www.academia.edu/86095174/Charles_Lutwidge_Dodgson_The_Political_Pamphlets_and_Letters_of_Charles_Lutwidge_Dodgson_and_Related_Pieces_A_Mathematical_Approach_Compiled_with_introductory_essays_notes_and_annotations_by_Francine_F_Abeles_Pamphlets_of_Lewis_Carroll_3_xx_260_pp_illus_tables_app_bibl_","translated_internal_url":"","created_at":"2022-09-03T14:01:28.049-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":24588114,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Charles_Lutwidge_Dodgson_The_Political_Pamphlets_and_Letters_of_Charles_Lutwidge_Dodgson_and_Related_Pieces_A_Mathematical_Approach_Compiled_with_introductory_essays_notes_and_annotations_by_Francine_F_Abeles_Pamphlets_of_Lewis_Carroll_3_xx_260_pp_illus_tables_app_bibl_","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":24588114,"first_name":"Francine","middle_initials":"F","last_name":"Abeles","page_name":"FrancineAbeles","domain_name":"kean","created_at":"2015-01-09T15:30:14.834-08:00","display_name":"Francine F Abeles","url":"https://kean.academia.edu/FrancineAbeles"},"attachments":[],"research_interests":[{"id":5709,"name":"Politics","url":"https://www.academia.edu/Documents/in/Politics"},{"id":185157,"name":"Isis","url":"https://www.academia.edu/Documents/in/Isis"}],"urls":[{"id":23583608,"url":"http://www.journals.uchicago.edu/doi/pdf/10.1086/429014"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="86095171"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/86095171/Lewis_Carrolls_visual_logic"><img alt="Research paper thumbnail of Lewis Carroll's visual logic" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/86095171/Lewis_Carrolls_visual_logic">Lewis Carroll's visual logic</a></div><div class="wp-workCard_item"><span>History and Philosophy of Logic</span><span>, 2007</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of rep...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll&amp;amp;amp;#39;s is a sound and complete system. For a large number of sets, Carroll diagrams are easier to draw because of their self-similarity and algorithmic construction.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095171"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095171"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095171; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095171]").text(description); $(".js-view-count[data-work-id=86095171]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095171; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095171']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095171, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=86095171]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095171,"title":"Lewis Carroll's visual logic","translated_title":"","metadata":{"abstract":"John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll\u0026amp;amp;amp;#39;s is a sound and complete system. For a large number of sets, Carroll diagrams are easier to draw because of their self-similarity and algorithmic construction.","publisher":"Informa UK Limited","publication_date":{"day":null,"month":null,"year":2007,"errors":{}},"publication_name":"History and Philosophy of Logic"},"translated_abstract":"John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll\u0026amp;amp;amp;#39;s is a sound and complete system. For a large number of sets, Carroll diagrams are easier to draw because of their self-similarity and algorithmic construction.","internal_url":"https://www.academia.edu/86095171/Lewis_Carrolls_visual_logic","translated_internal_url":"","created_at":"2022-09-03T14:01:20.635-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":24588114,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Lewis_Carrolls_visual_logic","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":24588114,"first_name":"Francine","middle_initials":"F","last_name":"Abeles","page_name":"FrancineAbeles","domain_name":"kean","created_at":"2015-01-09T15:30:14.834-08:00","display_name":"Francine F Abeles","url":"https://kean.academia.edu/FrancineAbeles"},"attachments":[],"research_interests":[{"id":422,"name":"Computer Science","url":"https://www.academia.edu/Documents/in/Computer_Science"},{"id":370751,"name":"Syllogism","url":"https://www.academia.edu/Documents/in/Syllogism"},{"id":605743,"name":"Venn Diagram","url":"https://www.academia.edu/Documents/in/Venn_Diagram"},{"id":725031,"name":"History and Philosophy of Logic","url":"https://www.academia.edu/Documents/in/History_and_Philosophy_of_Logic"},{"id":1308979,"name":"Predicate Logic","url":"https://www.academia.edu/Documents/in/Predicate_Logic"}],"urls":[{"id":23583605,"url":"http://www.tandfonline.com/doi/pdf/10.1080/01445340600704481"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="86095168"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/86095168/Charles_L_Dodgsons_geometric_approach_to_arctangent_relations_for_Pi"><img alt="Research paper thumbnail of Charles L. Dodgson's geometric approach to arctangent relations for Pi" class="work-thumbnail" src="https://attachments.academia-assets.com/90625112/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/86095168/Charles_L_Dodgsons_geometric_approach_to_arctangent_relations_for_Pi">Charles L. Dodgson's geometric approach to arctangent relations for Pi</a></div><div class="wp-workCard_item"><span>Historia Mathematica</span><span>, 1993</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="bd8fbd09eed04e52f68f60572cbb1771" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":90625112,"asset_id":86095168,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/90625112/download_file?st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095168"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095168"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095168; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095168]").text(description); $(".js-view-count[data-work-id=86095168]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095168; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095168']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095168, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "bd8fbd09eed04e52f68f60572cbb1771" } } $('.js-work-strip[data-work-id=86095168]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095168,"title":"Charles L. Dodgson's geometric approach to arctangent relations for Pi","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"Approximating 7r and attempting to square the circle have a long and interesting history. In 1875, C. L. Dodgson began work on a computationally simple approximation method for would-be circle squarers that would convince them of the futility of their attempts. 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Dodgson (Lewis Carroll) and how he...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">A comprehensive analysis of the ciphers invented by Charles L. Dodgson (Lewis Carroll) and how he used them indicate that his Memoria Technica (1875), a variant of a mnemonic scheme first proposed by Richard Grey in 1730, is properly viewed as Dodgson&amp;amp;amp;amp;#39;s fifth cipher system. 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Dodgson&#x27;s reputation as a significant figure in nineteenth-century logic was firm...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Charles L. Dodgson&#x27;s reputation as a significant figure in nineteenth-century logic was firmly established when the philosopher and historian of philosophy William Warren Bartley, III published Dodgson&#x27;s ‘lost’ book of logic, Part II of Symbolic Logic, in 1977. Bartley&#x27;s commentary and annotations confirm that Dodgson was a superb technical innovator. In this paper, I closely examine Dodgson&#x27;s methods and their evolution in the two parts of Symbolic Logic to clarify and justify Bartley&#x27;s claims. 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Anellis and represents joint work on the histo...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This paper is dedicated to the memory of Irving H. Anellis and represents joint work on the historical sources of Charles Sanders Peirce’s (1839–1914) diagrammatic logic. Arthur Cayley (1821–1895) and Alfred Bray Kempe (1849–1922) contributed to the logic of relations and its applications to geometry and foundations of geometry. This paper gives an overview of sources related to analytical trees and diagrams which were inspirational for Peirce’s development of his existential graphs. 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Dodgson</span><span>, 2019</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="237d008c4eb61c4e1a2a182f1258508a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":105803867,"asset_id":106819041,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/105803867/download_file?st=MTczMjc1NzAyOCw4LjIyMi4yMDguMTQ2&st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="106819041"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="106819041"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 106819041; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=106819041]").text(description); $(".js-view-count[data-work-id=106819041]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 106819041; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='106819041']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 106819041, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "237d008c4eb61c4e1a2a182f1258508a" } } $('.js-work-strip[data-work-id=106819041]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":106819041,"title":"The Mathematical Legacy of Charles L. Dodgson (Lewis Carroll)","translated_title":"","metadata":{"grobid_abstract":"In the preface to his book Lewis Carroll in Numberland, Robin Wilson asked three questions about Dodgson's mathematics: What mathematics did he do? How good a mathematician was he? How influential was his work? Here we build on the material of the previous chapters with the goal of answering these questions and a few more. This chapter is organized into seven sections: geometry, trigonometry, algebra, logic, voting, probability, and cryptology. In these sections we examine the state of the subject during Dodgson's time, the important mathematical ideas and methods that he created or developed, the mathematicians that he worked with or influenced, his relevant publications and those by other mathematicians who may have influenced him, the mathematical ideas and methods that his work foreshadowed in the 20th century, and some modern mathematicians who have been inspired by his work. 1 Geometry Public perception of Dodgson's geometrical work came from the Dover republication in 1973 of the second (1885) edition of Euclid and His Modern Rivals. That volume dealt primarily with his work as the mathematics lecturer at Christ Church, and with his firm belief in the value of Euclid as the main vehicle for teaching geometry to undergraduates. How different the perception of Dodgson as a geometer might have been had Dover also chosen to publish his Curiosa Mathematica, Part I. A New Theory of Parallels, which appeared nine years after the first appearance of Euclid and his Modern Rivals. Here we see Dodgson as a mature mathematician, fully aware of the non-Euclidean geometries that had been discovered earlier in the century. As a deeply religious man Dodgson considered his mathematical abilities to be a gift that he should use in the service of God, and he linked his work in geometry with his religious beliefs through the way he perceived natural theology and the nature of mathematical truth. In his time mathematics was considered uniquely capable of generating truths from axioms that captured the nature of reality. His need to study and develop logical rules for reasoning reflected this conviction. The Parallel Postulate In his introduction to the 1885 edition of Dodgson's Euclid and his Modern Rivals, the eminent British-born Canadian geometer H. S. M. Coxeter wrote, concerning two of Dodgson's tables of results related to the parallel postulate: 2 GEOMETRY 1 \"Tables I and Il are his nearest approach to the subject of non-Euclidean geometry... One is tempted to speculate on what might have happened if Cayley or Clifford had met Dodgson and convinced him that there is a logically consistent \"hyperbolic\" geometry in which the \"absolute\" propositions in Table I still hold while all the statements in Table Il are false (and the nineteenth proposition fails for any sufficiently large circle).\" The 19th proposition that Coxeter referred to here is: In every circle, the inscribed equilateral hexagon is greater [in area] than any one of the segments that lie outside it, This was Dodgson's unusual alternative to Euclid's parallel postulate (see Chapter 2). Note that it is a closed form that avoids the diffculty of knowing how parallel lines behave at infinity-Whether they remain apart, as in Euclidean geometry, or whether they become infinitesimally close, as in hyperbolic geometry. Dodgson recognized the existence of both hyperbolic and elliptic geometries. His assessment of hyperbolic geometry was negative-and we will explore his reasons for this-but he rejected elliptic geometry entirely. Adhering to his own interpretation of Euclid's geometry he could not logically accept hyperbolic geometry, and because his idea of an axiom was based on an average person's acceptance without proof, he objected to the tacit appearance of infinities and infinitesimals in Euclidean geometry. Dodgson was alert to issues about Euclid's geometry appearing in scientific journals. A long article, 'Chats about geometrical measurement', which took the form of a dialogue between two characters A. and M., appeared in the 24 October 1884 issue of Knowledge, a weekly popular science journal, written by its editor, Richard Proctor. Two weeks later Dodgson's response to it, entitled 'Euclid's theory of parallels', was published. His response dealt with comments that Proctor had made, which Dodgson faulted from a logical point ofview. 3 Dodgson's attempt to dispense with Euclid's parallel postulate was his reason for writing A New Iheory of Parallels, first published in July 1888. His aim was to replace Euclid's axiom with one that would be 'intuitively' true-by which he meant an axiom that does not involve infinities and infinitesimals. He regarded Euclid's parallel postulate","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"The Mathematical World of Charles L. 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Whately, W. Hamilton, and in added material, also J. S. Mill, before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Although not appreciated until the first third of the twentieth century, Boole's fundamental law of thought, x 2 = x, initiated an analysis of how the algebra of logic differs from ordinary algebra, and subsequently, gave rise to a new inference rule, resolution. In an added section, I provide a roadmap of this development and then discuss the relevant views of four prominent but underappreciated nineteenth-century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on "implication as inference" where I explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas leading to the mechanization of inference schemes.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="9bd45bbc85a49ce2be32033794b53415" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":97613943,"asset_id":95428448,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/97613943/download_file?st=MTczMjc1NzAyOCw4LjIyMi4yMDguMTQ2&st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="95428448"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="95428448"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 95428448; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=95428448]").text(description); $(".js-view-count[data-work-id=95428448]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 95428448; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='95428448']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 95428448, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "9bd45bbc85a49ce2be32033794b53415" } } $('.js-work-strip[data-work-id=95428448]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":95428448,"title":"Inference in Nineteenth-Century British Logic","translated_title":"","metadata":{"abstract":"I trace the development of implication as an inference operator using as the starting point the ideas primarily of R. Whately, W. Hamilton, and in added material, also J. S. Mill, before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Although not appreciated until the first third of the twentieth century, Boole's fundamental law of thought, x 2 = x, initiated an analysis of how the algebra of logic differs from ordinary algebra, and subsequently, gave rise to a new inference rule, resolution. In an added section, I provide a roadmap of this development and then discuss the relevant views of four prominent but underappreciated nineteenth-century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on \"implication as inference\" where I explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas leading to the mechanization of inference schemes.","publication_date":{"day":null,"month":null,"year":2023,"errors":{}},"publication_name":"Logica Universalis"},"translated_abstract":"I trace the development of implication as an inference operator using as the starting point the ideas primarily of R. Whately, W. Hamilton, and in added material, also J. S. Mill, before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Although not appreciated until the first third of the twentieth century, Boole's fundamental law of thought, x 2 = x, initiated an analysis of how the algebra of logic differs from ordinary algebra, and subsequently, gave rise to a new inference rule, resolution. In an added section, I provide a roadmap of this development and then discuss the relevant views of four prominent but underappreciated nineteenth-century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on \"implication as inference\" where I explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas leading to the mechanization of inference schemes.","internal_url":"https://www.academia.edu/95428448/Inference_in_Nineteenth_Century_British_Logic","translated_internal_url":"","created_at":"2023-01-21T10:58:48.605-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":24588114,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":97613943,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/97613943/thumbnails/1.jpg","file_name":"Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023.pdf","download_url":"https://www.academia.edu/attachments/97613943/download_file?st=MTczMjc1NzAyOCw4LjIyMi4yMDguMTQ2&st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Inference_in_Nineteenth_Century_British.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/97613943/Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023-libre.pdf?1674330138=\u0026response-content-disposition=attachment%3B+filename%3DInference_in_Nineteenth_Century_British.pdf\u0026Expires=1732760627\u0026Signature=N7mGJcNOdVVJBYGPYVvGAOtc99OFGpAP~uREBHu01zKuj9XSSQ2U5q3KKnOZUeOfb22WuCAXObHaHFH9dSqVt1Gv-9~magl5OkqjfOnifaIx5bmKfvVHz~Z-o0w4VxZIjtT8iezuujLy1LDa2~WsIwFP7xUzTddefs26nr9DSPDS4tRSgpevtkaae3EbxZdKp6Do~wGr4PkOYT02BdTyIxs8xDXArAiJ-TRL9UJrzDz6xdaPSD8KQ8TfPGkpcvxs41yVE-AvGpi-QA2XxPiFz0Y6umoU8FzH-Nws89PGc~48JG3gyPaAWAwk454ZrX8ehvqiC5KpK51It9aSyg-WYA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Inference_in_Nineteenth_Century_British_Logic","translated_slug":"","page_count":19,"language":"en","content_type":"Work","owner":{"id":24588114,"first_name":"Francine","middle_initials":"F","last_name":"Abeles","page_name":"FrancineAbeles","domain_name":"kean","created_at":"2015-01-09T15:30:14.834-08:00","display_name":"Francine F Abeles","url":"https://kean.academia.edu/FrancineAbeles"},"attachments":[{"id":97613943,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/97613943/thumbnails/1.jpg","file_name":"Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023.pdf","download_url":"https://www.academia.edu/attachments/97613943/download_file?st=MTczMjc1NzAyOCw4LjIyMi4yMDguMTQ2&st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Inference_in_Nineteenth_Century_British.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/97613943/Abeles.Logic.in_Question.Inference.in.19th.century.British.Logic.Logica.Universalis.2023-libre.pdf?1674330138=\u0026response-content-disposition=attachment%3B+filename%3DInference_in_Nineteenth_Century_British.pdf\u0026Expires=1732760627\u0026Signature=N7mGJcNOdVVJBYGPYVvGAOtc99OFGpAP~uREBHu01zKuj9XSSQ2U5q3KKnOZUeOfb22WuCAXObHaHFH9dSqVt1Gv-9~magl5OkqjfOnifaIx5bmKfvVHz~Z-o0w4VxZIjtT8iezuujLy1LDa2~WsIwFP7xUzTddefs26nr9DSPDS4tRSgpevtkaae3EbxZdKp6Do~wGr4PkOYT02BdTyIxs8xDXArAiJ-TRL9UJrzDz6xdaPSD8KQ8TfPGkpcvxs41yVE-AvGpi-QA2XxPiFz0Y6umoU8FzH-Nws89PGc~48JG3gyPaAWAwk454ZrX8ehvqiC5KpK51It9aSyg-WYA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="95117299"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/95117299/Hugh_MacColl_after_One_Hundred_Years"><img alt="Research paper thumbnail of Hugh MacColl after One Hundred Years" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/95117299/Hugh_MacColl_after_One_Hundred_Years">Hugh MacColl after One Hundred Years</a></div><div class="wp-workCard_item"><span>History and Philosophy of Logic</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathem...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathematician, philosopher, novelist and eminent logician. The volume includes papers from the MacColl centenary meeting (9–10 October 2009) at Boulogne-sur-Mer, the city where MacColl lived from 1865 until his death in 1909. This meeting can be seen as the prosecution of the Colloquium Hugh MacColl and the Tradition of Logic, which took place in Greifswald (Germany) in 1998.2 There is a considerable amount of common participants in both events and there is the common idea that MacColl’s intellectual heritage comprises a plurality of directions, which is mirrored in the interdisciplinary approaches of the participants of both meetings. Undoubtedly, his contributions to logic were the most outstanding intellectual attainments of MacColl and consequently the starting point of the modern MacColl scholarship. However, it would give a one-sided picture of MacColl, if the research concerning his logical ideas would be not accompanied, as done in the meetings in Greifswald and Boulogne, by the appreciation of other intellectual domains of MacColl’s work, like mathematics or literature. The volume is opened (pp. 7–29) by the reprint of the paper A Survey of the Life of Hugh MacColl (1837–1909) by Michael Astroh, Ivor Grattan-Guinness and Stephen Read.3 The authors deliver in a concise way very interesting and detailed information about the personal and professional life of MacColl, which was unknown to a big extent before the first publication of this paper. While the first paper of the volume gives a biographical survey about the material and institutional life of MacColl, the second paper Outside the Intellectual Mainstream? The Successes and Failures of Hugh MacColl (pp. 31–53) by Stein Haugom Olson deals with the intellectual life of MacColl and its integration into the main intellectual developments starting from the second half of the nineteenth century. Olson underlines that MacColl in addition to his logical works wrote a short story, a poem, and a couple of novels, which can be characterized as belonging to a kind of cultural criticism. MacColl exposed in these works of literature his deep concern with two main topics of the intellectual life during the Victorian period: first the rising importance of science and its influence on the manner of thinking and second the decline of the importance of religion and religious thinking. Even concerning central questions of the Victorian period, the cultural criticism of MacColl had the same fate as his revolutionary ideas concerning logic: they were being widely ignored until very recently and without influence on the intellectual mainstream. Olson’s paper is focused on the question, why in spite of MacColl’s outstanding intellectual skills his cultural criticism found almost no attentiveness by his contemporaries and the following generation. As causes for the neglect of MacColl’s ideas, Olson identifies the way in which MacColl presents these ideas to the public and his outsider position in relation to the British society. There is on the one side his spatial distance from the center of British intellectual life, living far away from London in a little French provincial town without any contact with the metropolitan literature and cultural developments. This dividedness from the leading</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="95117299"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="95117299"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 95117299; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=95117299]").text(description); $(".js-view-count[data-work-id=95117299]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 95117299; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='95117299']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 95117299, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=95117299]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":95117299,"title":"Hugh MacColl after One Hundred Years","translated_title":"","metadata":{"abstract":"The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathematician, philosopher, novelist and eminent logician. The volume includes papers from the MacColl centenary meeting (9–10 October 2009) at Boulogne-sur-Mer, the city where MacColl lived from 1865 until his death in 1909. This meeting can be seen as the prosecution of the Colloquium Hugh MacColl and the Tradition of Logic, which took place in Greifswald (Germany) in 1998.2 There is a considerable amount of common participants in both events and there is the common idea that MacColl’s intellectual heritage comprises a plurality of directions, which is mirrored in the interdisciplinary approaches of the participants of both meetings. Undoubtedly, his contributions to logic were the most outstanding intellectual attainments of MacColl and consequently the starting point of the modern MacColl scholarship. However, it would give a one-sided picture of MacColl, if the research concerning his logical ideas would be not accompanied, as done in the meetings in Greifswald and Boulogne, by the appreciation of other intellectual domains of MacColl’s work, like mathematics or literature. The volume is opened (pp. 7–29) by the reprint of the paper A Survey of the Life of Hugh MacColl (1837–1909) by Michael Astroh, Ivor Grattan-Guinness and Stephen Read.3 The authors deliver in a concise way very interesting and detailed information about the personal and professional life of MacColl, which was unknown to a big extent before the first publication of this paper. While the first paper of the volume gives a biographical survey about the material and institutional life of MacColl, the second paper Outside the Intellectual Mainstream? The Successes and Failures of Hugh MacColl (pp. 31–53) by Stein Haugom Olson deals with the intellectual life of MacColl and its integration into the main intellectual developments starting from the second half of the nineteenth century. Olson underlines that MacColl in addition to his logical works wrote a short story, a poem, and a couple of novels, which can be characterized as belonging to a kind of cultural criticism. MacColl exposed in these works of literature his deep concern with two main topics of the intellectual life during the Victorian period: first the rising importance of science and its influence on the manner of thinking and second the decline of the importance of religion and religious thinking. Even concerning central questions of the Victorian period, the cultural criticism of MacColl had the same fate as his revolutionary ideas concerning logic: they were being widely ignored until very recently and without influence on the intellectual mainstream. Olson’s paper is focused on the question, why in spite of MacColl’s outstanding intellectual skills his cultural criticism found almost no attentiveness by his contemporaries and the following generation. As causes for the neglect of MacColl’s ideas, Olson identifies the way in which MacColl presents these ideas to the public and his outsider position in relation to the British society. There is on the one side his spatial distance from the center of British intellectual life, living far away from London in a little French provincial town without any contact with the metropolitan literature and cultural developments. This dividedness from the leading","publisher":"Informa UK Limited","publication_date":{"day":null,"month":null,"year":2013,"errors":{}},"publication_name":"History and Philosophy of Logic"},"translated_abstract":"The given volume is devoted to the life and work of Hugh MacColl (1837–1909), the Scottish mathematician, philosopher, novelist and eminent logician. The volume includes papers from the MacColl centenary meeting (9–10 October 2009) at Boulogne-sur-Mer, the city where MacColl lived from 1865 until his death in 1909. This meeting can be seen as the prosecution of the Colloquium Hugh MacColl and the Tradition of Logic, which took place in Greifswald (Germany) in 1998.2 There is a considerable amount of common participants in both events and there is the common idea that MacColl’s intellectual heritage comprises a plurality of directions, which is mirrored in the interdisciplinary approaches of the participants of both meetings. Undoubtedly, his contributions to logic were the most outstanding intellectual attainments of MacColl and consequently the starting point of the modern MacColl scholarship. However, it would give a one-sided picture of MacColl, if the research concerning his logical ideas would be not accompanied, as done in the meetings in Greifswald and Boulogne, by the appreciation of other intellectual domains of MacColl’s work, like mathematics or literature. The volume is opened (pp. 7–29) by the reprint of the paper A Survey of the Life of Hugh MacColl (1837–1909) by Michael Astroh, Ivor Grattan-Guinness and Stephen Read.3 The authors deliver in a concise way very interesting and detailed information about the personal and professional life of MacColl, which was unknown to a big extent before the first publication of this paper. While the first paper of the volume gives a biographical survey about the material and institutional life of MacColl, the second paper Outside the Intellectual Mainstream? The Successes and Failures of Hugh MacColl (pp. 31–53) by Stein Haugom Olson deals with the intellectual life of MacColl and its integration into the main intellectual developments starting from the second half of the nineteenth century. Olson underlines that MacColl in addition to his logical works wrote a short story, a poem, and a couple of novels, which can be characterized as belonging to a kind of cultural criticism. MacColl exposed in these works of literature his deep concern with two main topics of the intellectual life during the Victorian period: first the rising importance of science and its influence on the manner of thinking and second the decline of the importance of religion and religious thinking. Even concerning central questions of the Victorian period, the cultural criticism of MacColl had the same fate as his revolutionary ideas concerning logic: they were being widely ignored until very recently and without influence on the intellectual mainstream. Olson’s paper is focused on the question, why in spite of MacColl’s outstanding intellectual skills his cultural criticism found almost no attentiveness by his contemporaries and the following generation. As causes for the neglect of MacColl’s ideas, Olson identifies the way in which MacColl presents these ideas to the public and his outsider position in relation to the British society. There is on the one side his spatial distance from the center of British intellectual life, living far away from London in a little French provincial town without any contact with the metropolitan literature and cultural developments. This dividedness from the leading","internal_url":"https://www.academia.edu/95117299/Hugh_MacColl_after_One_Hundred_Years","translated_internal_url":"","created_at":"2023-01-16T13:32:03.414-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":24588114,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Hugh_MacColl_after_One_Hundred_Years","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":24588114,"first_name":"Francine","middle_initials":"F","last_name":"Abeles","page_name":"FrancineAbeles","domain_name":"kean","created_at":"2015-01-09T15:30:14.834-08:00","display_name":"Francine F Abeles","url":"https://kean.academia.edu/FrancineAbeles"},"attachments":[],"research_interests":[{"id":803,"name":"Philosophy","url":"https://www.academia.edu/Documents/in/Philosophy"},{"id":725031,"name":"History and Philosophy of Logic","url":"https://www.academia.edu/Documents/in/History_and_Philosophy_of_Logic"}],"urls":[{"id":28117810,"url":"http://www.tandfonline.com/doi/pdf/10.1080/01445340.2013.777501"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="86095185"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/86095185/Mathematical_legacy"><img alt="Research paper thumbnail of Mathematical legacy" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/86095185/Mathematical_legacy">Mathematical legacy</a></div><div class="wp-workCard_item"><span>The Mathematical World of Charles L. Dodgson (Lewis Carroll)</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This chapter re-examines Dodgson’s achievements during his lifetime, and how some of them resurfa...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This chapter re-examines Dodgson’s achievements during his lifetime, and how some of them resurfaced in the 20th century. The chapter is divided into subject areas: geometry (including his alternative version of Euclid’s parallel postulate), trigonometry (for which he devised a new set of symbols), algebra (his work on determinants), logic (where the work of Bartley and others has led to a significant re-evaluation of Dodgson’s involvement), voting theory (on which he was in contact with a number of senior politicians), and probability, and concludes with a section on ciphers and cryptology. There has been a growing interest by scholars in Dodgson’s serious mathematical work since the third quarter of the 20th century, particularly as more of it has been published.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095185"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095185"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095185; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095185]").text(description); $(".js-view-count[data-work-id=86095185]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095185; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095185']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095185, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=86095185]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095185,"title":"Mathematical legacy","translated_title":"","metadata":{"abstract":"This chapter re-examines Dodgson’s achievements during his lifetime, and how some of them resurfaced in the 20th century. 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The chapter is divided into subject areas: geometry (including his alternative version of Euclid’s parallel postulate), trigonometry (for which he devised a new set of symbols), algebra (his work on determinants), logic (where the work of Bartley and others has led to a significant re-evaluation of Dodgson’s involvement), voting theory (on which he was in contact with a number of senior politicians), and probability, and concludes with a section on ciphers and cryptology. 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The Political Pamphlets and Letters of Charles Lutwidge Dodgson and Related Pieces: A Mathematical Approach. Compiled, with introductory essays, notes, and annotations, by, Francine F. Abeles. (Pamphlets of Lewis Carroll, 3.) xx + 260 pp., illus., tables, app., bibl., ..." class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/86095174/Charles_Lutwidge_Dodgson_The_Political_Pamphlets_and_Letters_of_Charles_Lutwidge_Dodgson_and_Related_Pieces_A_Mathematical_Approach_Compiled_with_introductory_essays_notes_and_annotations_by_Francine_F_Abeles_Pamphlets_of_Lewis_Carroll_3_xx_260_pp_illus_tables_app_bibl_">Charles Lutwidge Dodgson. The Political Pamphlets and Letters of Charles Lutwidge Dodgson and Related Pieces: A Mathematical Approach. Compiled, with introductory essays, notes, and annotations, by, Francine F. Abeles. (Pamphlets of Lewis Carroll, 3.) xx + 260 pp., illus., tables, app., bibl., ...</a></div><div class="wp-workCard_item"><span>Isis</span><span>, 2004</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095174"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095174"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095174; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095174]").text(description); $(".js-view-count[data-work-id=86095174]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095174; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095174']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095174, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=86095174]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095174,"title":"Charles Lutwidge Dodgson. 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Dodgson (Lewis Carroll) created systems of logic diagrams capable of rep...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll&amp;amp;amp;#39;s is a sound and complete system. 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Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll\u0026amp;amp;amp;#39;s is a sound and complete system. For a large number of sets, Carroll diagrams are easier to draw because of their self-similarity and algorithmic construction.","publisher":"Informa UK Limited","publication_date":{"day":null,"month":null,"year":2007,"errors":{}},"publication_name":"History and Philosophy of Logic"},"translated_abstract":"John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll\u0026amp;amp;amp;#39;s is a sound and complete system. 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Dodgson's geometric approach to arctangent relations for Pi" class="work-thumbnail" src="https://attachments.academia-assets.com/90625112/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/86095168/Charles_L_Dodgsons_geometric_approach_to_arctangent_relations_for_Pi">Charles L. Dodgson's geometric approach to arctangent relations for Pi</a></div><div class="wp-workCard_item"><span>Historia Mathematica</span><span>, 1993</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="bd8fbd09eed04e52f68f60572cbb1771" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":90625112,"asset_id":86095168,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/90625112/download_file?st=MTczMjc1NzAyOCw4LjIyMi4yMDguMTQ2&st=MTczMjc1NzAyNyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095168"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095168"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095168; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095168]").text(description); $(".js-view-count[data-work-id=86095168]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095168; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095168']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095168, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "bd8fbd09eed04e52f68f60572cbb1771" } } $('.js-work-strip[data-work-id=86095168]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095168,"title":"Charles L. Dodgson's geometric approach to arctangent relations for Pi","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"Approximating 7r and attempting to square the circle have a long and interesting history. In 1875, C. L. Dodgson began work on a computationally simple approximation method for would-be circle squarers that would convince them of the futility of their attempts. 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Dodgson (Lewis Carroll) and how he...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">A comprehensive analysis of the ciphers invented by Charles L. Dodgson (Lewis Carroll) and how he used them indicate that his Memoria Technica (1875), a variant of a mnemonic scheme first proposed by Richard Grey in 1730, is properly viewed as Dodgson&amp;amp;amp;amp;#39;s fifth cipher system. He used his Memoria Technica cipher as a tool in work that was never published,</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095164"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095164"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095164; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095164]").text(description); $(".js-view-count[data-work-id=86095164]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095164; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095164']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095164, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=86095164]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095164,"title":"The Memoria Technica Cipher","translated_title":"","metadata":{"abstract":"A comprehensive analysis of the ciphers invented by Charles L. Dodgson (Lewis Carroll) and how he used them indicate that his Memoria Technica (1875), a variant of a mnemonic scheme first proposed by Richard Grey in 1730, is properly viewed as Dodgson\u0026amp;amp;amp;amp;#39;s fifth cipher system. He used his Memoria Technica cipher as a tool in work that was never published,","publisher":"Informa UK Limited","publication_date":{"day":null,"month":null,"year":2003,"errors":{}},"publication_name":"Cryptologia"},"translated_abstract":"A comprehensive analysis of the ciphers invented by Charles L. Dodgson (Lewis Carroll) and how he used them indicate that his Memoria Technica (1875), a variant of a mnemonic scheme first proposed by Richard Grey in 1730, is properly viewed as Dodgson\u0026amp;amp;amp;amp;#39;s fifth cipher system. He used his Memoria Technica cipher as a tool in work that was never published,","internal_url":"https://www.academia.edu/86095164/The_Memoria_Technica_Cipher","translated_internal_url":"","created_at":"2022-09-03T14:01:06.696-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":24588114,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"The_Memoria_Technica_Cipher","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":24588114,"first_name":"Francine","middle_initials":"F","last_name":"Abeles","page_name":"FrancineAbeles","domain_name":"kean","created_at":"2015-01-09T15:30:14.834-08:00","display_name":"Francine F Abeles","url":"https://kean.academia.edu/FrancineAbeles"},"attachments":[],"research_interests":[{"id":422,"name":"Computer Science","url":"https://www.academia.edu/Documents/in/Computer_Science"},{"id":55724,"name":"Curiosity","url":"https://www.academia.edu/Documents/in/Curiosity"},{"id":1008745,"name":"Cipher","url":"https://www.academia.edu/Documents/in/Cipher"},{"id":3292545,"name":"Logarithm","url":"https://www.academia.edu/Documents/in/Logarithm"}],"urls":[{"id":23583601,"url":"http://www.tandfonline.com/doi/pdf/10.1080/0161-110391891892"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="86095118"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/86095118/Lewis_Carrolls_Formal_Logic"><img alt="Research paper thumbnail of Lewis Carroll's Formal Logic" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/86095118/Lewis_Carrolls_Formal_Logic">Lewis Carroll's Formal Logic</a></div><div class="wp-workCard_item"><span>History and Philosophy of Logic</span><span>, 2005</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Charles L. Dodgson&#x27;s reputation as a significant figure in nineteenth-century logic was firm...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Charles L. Dodgson&#x27;s reputation as a significant figure in nineteenth-century logic was firmly established when the philosopher and historian of philosophy William Warren Bartley, III published Dodgson&#x27;s ‘lost’ book of logic, Part II of Symbolic Logic, in 1977. Bartley&#x27;s commentary and annotations confirm that Dodgson was a superb technical innovator. In this paper, I closely examine Dodgson&#x27;s methods and their evolution in the two parts of Symbolic Logic to clarify and justify Bartley&#x27;s claims. Then, using more recent publications and unpublished letters, I argue that Dodgson approached the elimination problem in class logic differently than his contemporaries, and in doing so, anticipated several important concepts and techniques in automated deductive reasoning. These materials also provide additional insight into his reasons for writing this book.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="86095118"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="86095118"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 86095118; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=86095118]").text(description); $(".js-view-count[data-work-id=86095118]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 86095118; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='86095118']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 86095118, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=86095118]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":86095118,"title":"Lewis Carroll's Formal Logic","translated_title":"","metadata":{"abstract":"Charles L. 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Anellis and represents joint work on the histo...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This paper is dedicated to the memory of Irving H. Anellis and represents joint work on the historical sources of Charles Sanders Peirce’s (1839–1914) diagrammatic logic. Arthur Cayley (1821–1895) and Alfred Bray Kempe (1849–1922) contributed to the logic of relations and its applications to geometry and foundations of geometry. This paper gives an overview of sources related to analytical trees and diagrams which were inspirational for Peirce’s development of his existential graphs. 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(1).pdf" class="work-thumbnail" src="https://attachments.academia-assets.com/58506576/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/38444628/Abeles_The_Historical_Sources_of_Tree_Graphs_and_the_Tree_Method_in_the_Work_1_pdf">Abeles.(The_Historical_Sources_of_Tree_Graphs_and_the_Tree_Method_in_the_Work_...) (1).pdf</a></div><div class="wp-workCard_item"><span>Modern Logic 1850-1950. East and West</span><span>, 2016</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A comprehensive historical analysis of the origin and use of tree graphs and the method of trees ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">A comprehensive historical analysis of the origin and use of tree graphs and the method of trees in the work of the American logician, Charles S. Peirce and the German logician, Gerhard Gentzen</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="77a1cc975b62dc3448cbb5ed614612ee" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":58506576,"asset_id":38444628,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/58506576/download_file?st=MTczMjc1NzAyOCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="38444628"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="38444628"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 38444628; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=38444628]").text(description); $(".js-view-count[data-work-id=38444628]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 38444628; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='38444628']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 38444628, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "77a1cc975b62dc3448cbb5ed614612ee" } } $('.js-work-strip[data-work-id=38444628]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":38444628,"title":"Abeles.(The_Historical_Sources_of_Tree_Graphs_and_the_Tree_Method_in_the_Work_...) 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