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(PDF) A Logical Framework for the Spotlight Theory of Time

<!DOCTYPE html> <html > <head> <meta charset="utf-8"> <meta rel="search" type="application/opensearchdescription+xml" href="/open_search.xml" title="Academia.edu"> <meta content="width=device-width, initial-scale=1" name="viewport"> <meta name="google-site-verification" content="bKJMBZA7E43xhDOopFZkssMMkBRjvYERV-NaN4R6mrs"> <meta name="csrf-param" content="authenticity_token" /> <meta name="csrf-token" content="k57xyD0Uu0j_lovqt4XNTYKCcGZSS8FiBu-NqC3URZLPV4SBctqMapMlWQzhHrxgMWrlvfLwmY-GmTDY1xvjsA" /> <meta name="citation_title" content="A Logical Framework for the Spotlight Theory of Time" /> <meta name="citation_publication_date" content="2020/01/01" /> <meta name="citation_journal_title" content="Logic and Philosophy of Time: Themes from Prior. 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Vol III</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">13 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 44980148; const worksViewsPath = "/v0/works/views?subdomain_param=api&amp;work_ids%5B%5D=44980148"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new Error('Failed to load work views'); } const data = await response.json(); return data.views[workId]; }; // Get the view count for the work - we send this immediately rather than waiting for // the DOM to load, so it can be available as soon as possible (but without holding up // the backend or other resource requests, because it's a bit expensive and not critical). const viewCount = await getWorkViews(workId); 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} })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">The aim of this paper is twofold: on the one hand, to provide a conceptual analysis of the so called moving spotlight theory of time, highlighting its underlying metaphysical assumptions; on the other hand, to develop a semantics for a temporal logic which allows us to grasp the philosophical background of this theory.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;continue-reading-button--work-card&quot;,&quot;attachmentId&quot;:65519725,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:&quot;https://www.academia.edu/44980148/A_Logical_Framework_for_the_Spotlight_Theory_of_Time&quot;}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;download-pdf-button--work-card&quot;,&quot;attachmentId&quot;:65519725,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:&quot;https://www.academia.edu/44980148/A_Logical_Framework_for_the_Spotlight_Theory_of_Time&quot;}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div><div class="ds-signup-banner-trigger-container"><div class="ds-signup-banner-trigger ds-signup-banner-trigger-control"></div></div><div class="ds-signup-banner ds-signup-banner-control"><div id="ds-signup-banner-close-button"><button class="ds2-5-button ds2-5-button--secondary ds2-5-button--inverse"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">close</span></button></div><div class="ds-signup-banner-ctas"><img src="//a.academia-assets.com/images/academia-logo-capital-white.svg" /><h4 class="ds2-5-heading-serif-sm">Sign up for access to the world's latest research</h4><button class="ds2-5-button ds2-5-button--inverse ds2-5-button--full-width js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;signup-banner&quot;}">Sign up for free<span class="material-symbols-outlined" style="font-size: 20px" translate="no">arrow_forward</span></button></div><div class="ds-signup-banner-divider"></div><div class="ds-signup-banner-reasons"><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Get notified about relevant papers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Save papers to use in your research</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Join the discussion with peers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Track your impact</span></div></div></div><script>(() => { // Set up signup banner show/hide behavior: // 1. 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Prior (1914-69) in the course of the 1950s and 1960s founded a new and revolutionary paradigm in philosophy and logic. Its most central feature is the preoccupation with time and the development of the logic of time. However, this was inseparably interwoven with fundamental questions about human freedom, ethics, and existence. This remarkable integration of themes also embodies an original and in fact revolutionary conception of logic. The book series, Logic and Philosophy of Time, is dedicated to a deep investigation and also the further development of Prior&amp;#39;s paradigm.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Logic and Philosophy of Time: Themes from Prior&quot;,&quot;attachmentId&quot;:82970530,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/75039600/Logic_and_Philosophy_of_Time_Themes_from_Prior&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/75039600/Logic_and_Philosophy_of_Time_Themes_from_Prior"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="66535437" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/66535437/Logic_and_Philosophy_of_Time_Themes_from_Prior_Volume_1">Logic and Philosophy of Time: Themes from Prior, Volume 1</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="1931726" href="https://independent.academia.edu/PatrickBlackburn">Patrick Blackburn</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2017</p><p class="ds-related-work--abstract ds2-5-body-sm">A.N. Prior’s Past, Present and Future [18] was published 50 years ago in 1967 and was clearly a milestone in the development of tense-logic. It is a mature and comprehensive presentation of the basic concepts, systems and issues in tense-logic. In addition it also contains a number of interesting ideas that later led to important further developments of the field. Past, Present and Future represents a culmination of Prior’s struggle with the problem of determinism (including his study of the tension between the doctrines of divine foreknowledge and human freedom). Prior’s study of the problem of determinism led him to a reconstruction of the famous DiodoreanMaster Argument which had for centuries been regarded as a strong argument in favour of determinism. In his further analysis of the problem, hemade extensive use of tense-logic and the idea of branching time. However, in Past, Present and Future Prior also stresses that time as such should not simply be understood in terms of bra...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Logic and Philosophy of Time: Themes from Prior, Volume 1&quot;,&quot;attachmentId&quot;:77688835,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/66535437/Logic_and_Philosophy_of_Time_Themes_from_Prior_Volume_1&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/66535437/Logic_and_Philosophy_of_Time_Themes_from_Prior_Volume_1"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="36806302" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/36806302/The_Moving_Spotlight_An_Essay_on_Time_and_Ontology">The Moving Spotlight: An Essay on Time and Ontology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="25443688" href="https://tpu.academia.edu/ElenaFell">Elena Fell</a></div><p class="ds-related-work--abstract ds2-5-body-sm">Elena Fell; The Moving Spotlight: An Essay on Time and Ontology, The Philosophical Quarterly, Volume 68, Issue 271, 1 April 2018, Pages 411–413, https://doi.org/10.1093/pq/pqx026</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;The Moving Spotlight: An Essay on Time and Ontology&quot;,&quot;attachmentId&quot;:56756003,&quot;attachmentType&quot;:&quot;doc&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/36806302/The_Moving_Spotlight_An_Essay_on_Time_and_Ontology&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/36806302/The_Moving_Spotlight_An_Essay_on_Time_and_Ontology"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="110343744" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/110343744/Logic_and_Philosophy_of_Time_Further_Themes_from_Prior">Logic and Philosophy of Time: Further Themes from Prior</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="1931726" href="https://independent.academia.edu/PatrickBlackburn">Patrick Blackburn</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2019</p><p class="ds-related-work--abstract ds2-5-body-sm">This paper argues that A.N. Prior’s invention of tense-logic constitutes a return of medieval logic in the philosophy of time. The argument proceeds from an analysis of W.V. Quine and P.W. Strawson’s 1953 discussion about the inability of formal logic to analyse the tenses of ordinary language. Recent discoveries in the A.N. Prior archive at the Bodleian Library in Oxford reveal that J.J.C. Smart, in a letter to Prior, brought up their discussion in his rejection of Prior’s invention of tense-logic. The correspondence will be discussed in terms of the importance of Prior’s discovery of tense-logic and the presentation of this as a solution to the problem discussed by Strawson and Quine in The Syntax of Time Distinctions (1958, [9]). Recent discoveries reveal a close connection between this discussion and Prior’s discussion of future contingency in Diodoran Modality (1955, [7]). These discoveries support the conclusion of this paper, which argues that Quine’s insistence that modern l...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Logic and Philosophy of Time: Further Themes from Prior&quot;,&quot;attachmentId&quot;:108189876,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/110343744/Logic_and_Philosophy_of_Time_Further_Themes_from_Prior&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/110343744/Logic_and_Philosophy_of_Time_Further_Themes_from_Prior"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="28017494" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/28017494/The_Logic_of_Time">The Logic of Time</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="235656" href="https://cambridge.academia.edu/JeremyButterfield">Jeremy Butterfield</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Philosophical Books, 2009</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;The Logic of Time&quot;,&quot;attachmentId&quot;:48324995,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/28017494/The_Logic_of_Time&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/28017494/The_Logic_of_Time"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="31306734" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/31306734/Theory_of_Time_A_general_approach">Theory of Time: A general approach</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="59823180" href="https://louisiana.academia.edu/RasiahLoganantharaj">Rasiah Loganantharaj</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1996</p><p class="ds-related-work--abstract ds2-5-body-sm">The notion of time has intrigued researchers of diverse disciplines, such as, databases, theoretical computer science, philosophy, applied psychology, and artificial intelligence. In spite of several contributions towards the advancement of temporal reasoning, very little work has been done in developing a theory of time that is common to all the time elements. Allen and Hayes have provided an elegant theory of time for intervals. The major shortcoming in their approach is that they have ignored or neglected the points. On the other hand, McDermott&#39;s theory of time was based on points ignoring intervals. Ma and Knight have straightforwardly extended Allen and Hayes&#39; axioms so that it can be applicable to both points and intervals.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Theory of Time: A general approach&quot;,&quot;attachmentId&quot;:51700861,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/31306734/Theory_of_Time_A_general_approach&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/31306734/Theory_of_Time_A_general_approach"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="36532127" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/36532127/FIGURE_AND_GROUND_CONSIDERATIONS_ON_THE_METAPHYSICS_AND_LOGICS_OF_TIME">FIGURE AND GROUND: CONSIDERATIONS ON THE METAPHYSICS AND LOGICS OF TIME</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="2833035" href="https://independent.academia.edu/JimScott">Jim Scott</a></div><p class="ds-related-work--abstract ds2-5-body-sm">The thesis provides a survey and analysis of three-dimensional and four- dimensional theories of time. These theories are considered both from the perspective of experienced time and of physical time. It is argued that experienced time is tensed and finite. It is further argued that physical time can be modeled by various theories, and that the choice of temporal theory is largely determined by the basic tenets of a particular theory of the external world. Arthur Prior‟s tense logic and U-calculus are presented, and it is shown that tense logic models tensed time, while the U-calculus models tenseless time. Further, it is seen that the U-calculus can be reduced to tense logic. Following the development of a general hybrid modal logic, a temporal hybrid modal logic is presented which is shown to model both tensed and tenseless time.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;FIGURE AND GROUND: CONSIDERATIONS ON THE METAPHYSICS AND LOGICS OF TIME&quot;,&quot;attachmentId&quot;:56451438,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/36532127/FIGURE_AND_GROUND_CONSIDERATIONS_ON_THE_METAPHYSICS_AND_LOGICS_OF_TIME&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/36532127/FIGURE_AND_GROUND_CONSIDERATIONS_ON_THE_METAPHYSICS_AND_LOGICS_OF_TIME"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="722742" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/722742/A_catalog_of_temporal_theories">A catalog of temporal theories</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="36480" href="https://ihmc.academia.edu/PatrickHayes">Patrick Hayes</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Artificial Intelligence Technical Report UIUC-BI-AI-96- …, 1996</p><p class="ds-related-work--abstract ds2-5-body-sm">This document surveys several structures that time can be taken to have, discusses the different intuitions which justify them, and gives organised collections of axioms to describe them.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;A catalog of temporal theories&quot;,&quot;attachmentId&quot;:4106167,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/722742/A_catalog_of_temporal_theories&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/722742/A_catalog_of_temporal_theories"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="68718487" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/68718487/Prior_s_paradigm_for_the_study_of_time_and_its_methodological_motivation">Prior’s paradigm for the study of time and its methodological motivation</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="9715945" href="https://aalborg.academia.edu/Peter%C3%98hrstr%C3%B8m">Peter Øhrstrøm</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Synthese, 2016</p><p class="ds-related-work--abstract ds2-5-body-sm">A. N. Prior&#39;s writings should obviously be studied already for historical reasons. His inventions of modern temporal logic and hybrid logic are clearly important events in the history of logic. But the enduring importance of studying his works also rests on his methodological approach, which remains highly relevant also for systematical reasons. In this paper we argue that Prior&#39;s formulation in the 1950s of a tense-logical paradigm for the study of time should be understood in the light of at least three other principles or perspectives which were manifest already in his studies during the 1940s and further developed in the 1950s: (1) his emphasis on the value of interdisciplinary studies, (2) his reflections on formalisation and (3) his view of the role of symbolic logic in conceptual studies and in the philosophy of science. Our investigation into Prior&#39;s basic tenets and principles makes extensive use of Prior&#39;s Nachlass. It is thereby also exemplified how his correspondence and unpublished papers contain important information for a deeper understanding of Prior&#39;s paradigm for the study of time. Keywords A. N. Prior • Temporal logic • Interdisciplinary studies • Formalisation A. N. Prior&#39;s most important works were written in the period from 1953 to his untimely death in 1969. However, recently his earlier works have attracted growing attention (Hasle 2012; Grimshaw 2002, 2013; Jakobsen 2013). It has become clear that his work preceding his first formulation of formal tense-logic in 1953 had a much stronger B Per Hasle</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Prior’s paradigm for the study of time and its methodological motivation&quot;,&quot;attachmentId&quot;:79098000,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/68718487/Prior_s_paradigm_for_the_study_of_time_and_its_methodological_motivation&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/68718487/Prior_s_paradigm_for_the_study_of_time_and_its_methodological_motivation"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="12642091" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/12642091/Taking_Times_Out_Tense_Logic_as_a_Theory_of_Time">Taking Times Out: Tense Logic as a Theory of Time</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="6767512" href="https://chicago.academia.edu/ThomasPashby">Thomas Pashby</a></div><p class="ds-related-work--abstract ds2-5-body-sm">Ulrich Meyer’s book The Nature of Time uses tense logic to argue for a ‘modal’ view of time, which replaces substantial times (as in Newton’s Absolute Time) with ‘ersatz times’ constructed using conceptually basic tense operators. He also argues against Bertrand Russell’s relationist theory, in which times are classes of events, and against the idea that relativity compels the integration of time and space (called by Meyer the Inseparability Argument). I find fault with each of these negative arguments, as well as with Meyer’s purported reconstruction of empty spacetime from tense operators and substantial spatial points. I suggest that Meyer’s positive project is best conceived as an elimination of time in the mode of Julian Barbour&#39;s The End of Time.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Taking Times Out: Tense Logic as a Theory of Time&quot;,&quot;attachmentId&quot;:37758109,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/12642091/Taking_Times_Out_Tense_Logic_as_a_Theory_of_Time&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/12642091/Taking_Times_Out_Tense_Logic_as_a_Theory_of_Time"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;continue-reading-button--sticky-ctas&quot;,&quot;attachmentId&quot;:65519725,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;download-pdf-button--sticky-ctas&quot;,&quot;attachmentId&quot;:65519725,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_65519725" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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