Numerous Numerosity

<!DOCTYPE html> <html lang="en"> <head> <meta charset="utf-8"> <title>Numerous Numerosity</title> <meta content="width=device-width, initial-scale=1.0" name="viewport"> <meta content="" name="keywords"> <meta content="" name="description">  <script src="https://kit.fontawesome.com/df9b89ac6c.js" crossorigin="anonymous"></script>  <link href="img/favicon.png" rel="icon">  <script async src="https://www.googletagmanager.com/gtag/js?id=G-5129T5Q5F7"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-5129T5Q5F7'); </script>  <link rel="preconnect" href="https://fonts.gstatic.com"> <link href="https://fonts.googleapis.com/css2?family=Belleza&display=swap" rel="stylesheet"> <link href="https://fonts.googleapis.com/css2?family=Quattrocento+Sans&display=swap" rel="stylesheet"> <link href="https://fonts.googleapis.com/css?family=Open+Sans:300,300i,400,400i,700,700i|Montserrat:300,400,500,700" rel="stylesheet">  <link href="lib/bootstrap/css/bootstrap.min.css" rel="stylesheet">  <link href="lib/font-awesome/css/font-awesome.min.css" rel="stylesheet"> <link href="lib/animate/animate.min.css" rel="stylesheet"> <link href="lib/ionicons/css/ionicons.min.css" rel="stylesheet"> <link href="lib/owlcarousel/assets/owl.carousel.min.css" rel="stylesheet"> <link href="lib/lightbox/css/lightbox.min.css" rel="stylesheet">  <link href="css/style.css" rel="stylesheet">  </head> <body>  <header id="header" style="background-color:black"> <div class="container-fluid"> <div id="logo" class="pull-left"> <h1 align="left" style="font-size:150%; font-weight:100"><a href="#intro" class="scrollto" style="font-size:100%">N U M E R O U S &nbsp <nobr style="font-weight:800"> N U M E R O S I T Y</nobr></a></h1>   </div> <nav id="nav-menu-container"> <ul class="nav-menu"> <li><a href="https://semf.org.es/numerosity">Home</a></li> <li><a href="https://semf.org.es/numerosity/sessions.html">Plenary Sessions</a></li> <li><a href="https://semf.org.es/numerosity/fieldguide.html">Field Guide</a></li> <li><a href="https://semf.org.es/numerosity/participants.html">Participants</a></li> <li><a href="https://semf.org.es/numerosity/index.html#logistics">Logistics</a></li> <li><a href="https://semf.org.es/numerosity/index.html#workshop">Workshop</a></li> <li><a href="https://semf.org.es/numerosity/index.html#about">About</a></li> <li><a href="https://semf.org.es/numerosity/questions.html">Questions and Disciplines</a></li> </ul> </nav> </div> </header>  <section id="portfolio" class="section-bg" > </br></br></br></br> <div class="container"> <header class="section-header"> <h3 class="section-title">FIELD GUIDE</h3> </header> <div class="row"> <div class="col-lg-12"> <ul id="portfolio-flters"> <li data-filter="*" class="filter-active">All</li> </ul> <ul id="portfolio-flters"> <li data-filter=".filter-anthropology">Anthropology</li> <li data-filter=".filter-biology">Biology</li> <li data-filter=".filter-cognition">Cognition</li> <li data-filter=".filter-complexity">Complexity</li> <li data-filter=".filter-computation">Computation</li> <li data-filter=".filter-education">Education</li> <li data-filter=".filter-mathematics">Mathematics</li> <li data-filter=".filter-philosophy">Philosophy</li> <li data-filter=".filter-physics">Physics</li> </ul> </div> </div> <div class="row portfolio-container">  <div class="col-lg-4 col-md-6 portfolio-item filter-biology filter-cognitive filter-computation filter-complexity" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Approximate_number_systemc" target="_blank"><b>APPROXIMATE NUMBER SYSTEM</b></a></br>Cognitive ability to estimate the quantity of a collection of objects without relying on language or symbols.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Approximate_number_system" target="_blank"><img src="img/fieldguide/ApproximateNumberSystem.png" alt="Approximate Number System"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Arithmetic" target="_blank"><b>ARITHMETIC</b></a></br>Processing of numerical information by means of the standard operations of addition, subtraction, multiplication, division and exponentiation.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Arithmetic" target="_blank"><img src="img/fieldguide/Arithmetic.png" alt="Arithmetic"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-computation filter-cognition" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Artificial_neural_network" target="_blank"><b>ARTIFICIAL NEURAL NETWORK</b></a></br>Computational system vaguely inspired by biological neural networks that operates a large network of relatively simple computing nodes.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Artificial_neural_network" target="_blank"><img src="img/fieldguide/ArtificialNeuralNetwork.png" alt="ArtificialNeuralNetwork"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-biology filter-cognition" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Neural_circuit" target="_blank"><b>BIOLOGICAL NEURAL NETWORK</b></a></br>Physiological tissue composed by neurons and other specialized cells; linked to higher cognitive functions in some animals.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Neural_circuit" target="_blank"><img src="img/fieldguide/BiologicalNeuralNetwork.png" alt="Biological Neural Network"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Cardinality" target="_blank"><b>CARDINALITY</b></a></br>Measure of the size of a set; for finite sets this corresponds to the amount of elements in the set.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Cardinality" target="_blank"><img src="img/fieldguide/Cardinality.png" alt="Cardinality"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://ncatlab.org/nlab/show/category+theory" target="_blank"><b>CATEGORY THEORY</b></a></br>Mathematical theory that puts emphasis on the relational structure within families of mathematical objects rather than their particular nature. A lingua franca between different branches of mathematics.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://ncatlab.org/nlab/show/category+theory" target="_blank"><img src="img/fieldguide/CategoryTheory.png" alt="Category Theory"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-biology" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Cell_(biology)" target="_blank"><b>CELL</b></a></br>Minimal observed unit of conventionally attributed full biological function. Typically, a complex assembly of microscopic molecular machinery.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Cell_(biology)" target="_blank"><img src="img/fieldguide/Cell.png" alt="Cell"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-physics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Classical_physics" target="_blank"><b>CLASSICAL PHYSICS</b></a></br>Collection of models and theories that describe phenomena at the macroscopic and astrophysical scales; historically, the physical theories predating the discovery of quantum phenomena.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Classical_physics" target="_blank"><img src="img/fieldguide/ClassicalPhysics.png" alt="Classical Physics"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-complexity filter-computation" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Classification_rule" target="_blank"><b>CLASSIFICATION</b></a></br>General problem of determining and assigning categories in a group of individuals sharing traits and behaviour. Known as taxonomy for living organisms.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Classification_rule" target="_blank"><img src="img/fieldguide/Classification.png" alt="Classification"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-complexity filter-computation" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="http://c4.santafe.edu/" target="_blank"><b>COLLECTIVE COMPUTATION</b></a></br>The phenomenon of information processing by a large group of individuals in interaction, each of which processes information individually and communicates with other individuals.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="http://c4.santafe.edu/" target="_blank"><img src="img/fieldguide/CollectiveComputation.png" alt="Collective Computation"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-complexity filter-physics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://www.complexityexplorer.org/explore/glossary/391-complex-system" target="_blank"><b>COMPLEX SYSTEM</b></a></br>Physical system with a large amount of components that interact to generate intricate emergent dynamics, self-organization, or chaotic behaviour.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://www.complexityexplorer.org/explore/glossary/391-complex-system" target="_blank"><img src="img/fieldguide/ComplexSystem.png" alt="Complex System"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-computation" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://www.wolframscience.com/nks/chap-11--the-notion-of-computation/" target="_blank"><b>COMPUTATIONAL UNIVERSE</b></a></br>The abstract space of all possible programs that can be executed by a computer following finite sets of instructions.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://www.wolframscience.com/nks/chap-11--the-notion-of-computation/" target="_blank"><img src="img/fieldguide/ComputationalUniverse.png" alt="Computational Universe"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-computation filter-cognition filter-complexity filter-philosophy" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Connectionism" target="_blank"><b>CONNECTIONISM</b></a></br>Approach in cognitive science which assumes that most of the relevant physical substrate of the mind can be modelled by a network.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Connectionism" target="_blank"><img src="img/fieldguide/Connectionism.png" alt="Comnnectonism"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Countable_set" target="_blank"><b>COUNTABLE SET</b></a></br>Set with the same cardinality as some subset of the standard natural numbers. A countable set can be labelled by a (possibly infinite) sequence of natural numbers.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Countable_set" target="_blank"><img src="img/fieldguide/CountableSet.png" alt="Countable Set"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-physics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Determinism" target="_blank"><b>DETERMINISM</b></a></br>Philosophical view which posits that events are completely determined by the past or preexisting causes.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Determinism" target="_blank"><img src="img/fieldguide/Determinism.png" alt="Determinism"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-biology filter-complexity" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Downward_causation" target="_blank"><b>DOWNWARD CAUSATION</b></a></br>The idea that higher-level features of a system can be a cause of behaviour by lower-level components, such as a mind controlling a body or law regulating society.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Downward_causation" target="_blank"><img src="img/fieldguide/DownwardCausation.png" alt="Downward Causation"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-physics filter-complexity" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Dynamical_system" target="_blank"><b>DYNAMICAL SYSTEM</b></a></br>Mathematical model of a physical system that describes its time evolution, typically as a function of its present or past states.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Dynamical_system" target="_blank"><img src="img/fieldguide/DynamicalSystem.png" alt="Dynamical System"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-education" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Dyscalculia" target="_blank"><b>DYSCALCULIA</b></a></br>Cognitive condition that greatly affects a person’s ability to learn mathematical skills, particularly in the manipulation of numbers and quantities. </br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Dyscalculia" target="_blank"><img src="img/fieldguide/Dyscalculia.png" alt="Dyscalculia"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-biology filter-philosophy" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Embodied_cognition" target="_blank"><b>EMBODIED COGNITION</b></a></br>Theory which posits that cognitive systems should be considered in all their extension (body), not just in the centers of information processing (brain). </br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Embodied_cognition" target="_blank"><img src="img/fieldguide/EmbodiedCognition.png" alt="Embodied Cognition"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-biology filter-philosophy filter-complexity filter-physics filter-anthropology filter-computation" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Emergence" target="_blank"><b>EMERGENTISM</b></a></br> Philosophical view which posits that collectives can exhibit behaviour that cannot be inferred from knowledge of the individuals.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Emergence" target="_blank"><img src="img/fieldguide/Emergentism.png" alt="Emergentism"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-complexity filter-philosophy filter-education filter-anthropology" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Enculturation" target="_blank"><b>ENCULTURATION</b></a></br>Process by which individuals learn the dynamics of their surrounding culture and acquire behaviours appropriate to that culture.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Enculturation" target="_blank"><img src="img/fieldguide/Enculturation.png" alt="Enculturation"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-anthropology" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Ethnography" target="_blank"><b>ETHNOGRAPHY</b></a></br> Discipline dedicated to the study of human cultural manifestations, typically with a holistic view including history, habitat and human biology.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Ethnography" target="_blank"><img src="img/fieldguide/Ethnography.png" alt="Ethnography"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-biology filter-complexity filter-computation" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Evolution" target="_blank"><b>EVOLUTION</b></a></br> Process by which a population of individuals changes over time through mechanisms such as reproduction, inheritance, mutation and selection.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Evolution" target="_blank"><img src="img/fieldguide/Evolution.png" alt="Evolution"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-anthropology filter-cognition filter-philosophy" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Extended_mind_thesis" target="_blank"><b>EXTENDED MIND</b></a></br> The idea that contents of the mind appear and are articulated in the world. Examples are written languages, cities or technology.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Extended_mind_thesis" target="_blank"><img src="img/fieldguide/ExtendedMind.png" alt="Extended Mind"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Commutative_algebra" target="_blank"><b>FIELD</b></a></br>Mathematical object generalizing the algebraic properties of ordinary numbers. Fields are part of commutative algebra, the natural ground for the abstract algebraic study of numbers.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Commutative_algebra" target="_blank"><img src="img/fieldguide/Field.png" alt="Field"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-complexity filter-physics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Indeterminism" target="_blank"><b>INDETERMINISM</b></a></br>Philosophical view which posits that not all events are determined by the past or preexisting causes, either due to randomness or other mechanisms.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Indeterminism" target="_blank"><img src="img/fieldguide/Indeterminism.png" alt="Indeterminsm"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-computation filter-cognition" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Information_theory" target="_blank"><b>INFORMATION THEORY</b></a></br>Discipline dedicated to the scientific study of the quantification, storage, and communication of digital information.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Information_theory" target="_blank"><img src="img/fieldguide/InformationTheory.png" alt="Information Theory"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Integer" target="_blank"><b>INTEGER NUMBERS</b></a></br> Mathematical object capturing ordinary subtraction and the notion of negative numbers. Prime example of what is known as an (abelian) group in abstract algebra.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Integer" target="_blank"><img src="img/fieldguide/Integers.png" alt="Integer Numbers"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-mathematics filter-cognition" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Intuitionism" target="_blank"><b>INTUITIONISM</b></a></br> Philosophical view which posits that mathematics is the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Intuitionism" target="_blank"><img src="img/fieldguide/Intuitionism.png" alt="Intuitionism"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-anthropology filter-computation filter-cognition" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Linguistics" target="_blank"><b>LINGUISTICS</b></a></br> Discipline dedicated to the study of languages. For human populations it entails the study of phonology, morphology, syntax and semantics.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Linguistics" target="_blank"><img src="img/fieldguide/Linguistics.png" alt="Linguistics"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Logicism" target="_blank"><b>LOGICISM</b></a></br> Philosophical view which posits that mathematics is an extension of or can be successfully modelled by formal logic.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Logicism" target="_blank"><img src="img/fieldguide/Logicism.png" alt="Logicism"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Metamathematics" target="_blank"><b>METAMATHEMATICS</b></a></br>The systematic study of mathematics, its underlying assumptions and methodology. The <i>mathematics of mathematics.</i></br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Metamathematics" target="_blank"><img src="img/fieldguide/Metamathematics.png" alt="Metamathematics"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Natural_number" target="_blank"><b>NATURAL NUMBERS</b></a></br>Mathematical object capturing the formal structure of the ordinary counting and ordering numbers. This object is at the foundation of most mathematics used in science and engineering.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Natural_number" target="_blank"><img src="img/fieldguide/Naturals.png" alt="Natural Numbers"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-biology filter-education" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Neuroplasticity" target="_blank"><b>NEUROPLASTICITY</b></a></br>Process by which biological neural networks rearrange and reorganize themselves leading to adaptation and change of learned behaviours.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Neuroplasticity" target="_blank"><img src="img/fieldguide/Neuroplasticity.png" alt="Neuroplasticity"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-anthropology filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Numeral_system" target="_blank"><b>NUMERALS</b></a></br>Symbol system used to capture numerosity. Examples in humans are the Hindu-Arabic 1, 2, 3, 4… and the Roman I, II, III, IV...</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Numeral_system" target="_blank"><img src="img/fieldguide/Numerals.png" alt="Numerals"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-anthropology filter-mathematics filter-biology" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://www.cell.com/trends/cognitive-sciences/fulltext/S1364-6613(17)30048-7" target="_blank"><b>NUMERICAL COGNITION</b></a></br>The processing of exact and/or symbolic numerical information by a cognitive system. Almost exclusively observed in encultured humans.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://www.cell.com/trends/cognitive-sciences/fulltext/S1364-6613(17)30048-7" target="_blank"><img src="img/fieldguide/NumericalCognition.png" alt="Numerical Cognition"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-computation filter-complexity" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Number_sense" target="_blank"><b>NUMEROSITY</b></a></br>The property of a stimulus that makes it comparable to other discrete measurements such as counts or orderings. Abstracted as natural numbers in humans.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Number_sense" target="_blank"><img src="img/fieldguide/Numerosity.png" alt="Numerosity"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition filter-biology filter-complexity" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Ontogeny" target="_blank"><b>ONTOGENY</b></a></br>Process by which an individual is formed. In pluricellular organisms, the process from the fertilization of an egg to the formation of an adult.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Ontogeny" target="_blank"><img src="img/fieldguide/Ontogeny.png" alt="Ontogeny"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Ordinal_number" target="_blank"><b>ORDINALS</b></a></br>System of labels used to identify elements in a definite order; for finite sets ordinals correspond to labelling elements of the set with the standard natural numbers.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Ordinal_number" target="_blank"><img src="img/fieldguide/Ordinals.png" alt="Ordinals"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics filter-cognition filter-biology" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://www.cell.com/trends/cognitive-sciences/fulltext/S1364-6613(17)30048-7" target="_blank"><b>QUANTICAL COGNITION</b></a></br>The processing of quantitative information, possibly approximate, by a cognitive system. Observed in many non-human animals and some plants.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://www.cell.com/trends/cognitive-sciences/fulltext/S1364-6613(17)30048-7" target="_blank"><img src="img/fieldguide/QuanticalCognition.png" alt="Quantical Cognition"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-physics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Quantum_mechanics" target="_blank"><b>QUANTUM PHYSICS</b></a></br> Collection of models and theories that describe phenomena at the near-atomic and subatomic levels; characteristic quantum phenomena may present state entanglement and observational indeterminacy.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Quantum_mechanics" target="_blank"><img src="img/fieldguide/QuantumPhysics.png" alt="Quantum Physics"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Rational_number" target="_blank"><b>RATIONAL NUMBERS</b></a></br> Mathematical object capturing the formal structure of fractions. Prime example of what is known as a field in abstract algebra.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Rational_number" target="_blank"><img src="img/fieldguide/Rationals.png" alt="Rational Numbers"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Real_number" target="_blank"><b>REAL NUMBERS</b></a></br> Mathematical object capturing the formal structure of geometric distances and approximating sequences; typically considered as the mathematical model of physical quantities.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Real_number" target="_blank"><img src="img/fieldguide/Reals.png" alt="Real Numbers"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-physics" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Theory_of_relativity" target="_blank"><b>RELATIVITY THEORY</b></a></br> Physical theory that provides the most accurate, compact and mathematically elegant model to date for the relation between observers of classical phenomena.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Theory_of_relativity" target="_blank"><img src="img/fieldguide/Relativity.png" alt="Relativity Theory"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-anthropology filter-cognition filter-computation" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Semiotics" target="_blank"><b>SEMIOTICS</b></a></br> Discipline dedicated to the study of signs, symbols and their meaning among populations of individuals.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Semiotics" target="_blank"><img src="img/fieldguide/Semiotics.png" alt="Semiotics"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-physics filter-complexity" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Statistical_physics" target="_blank"><b>STATISTICAL PHYSICS</b></a></br> Collection of models and theories that describe phenomena involving large amounts of constituents interacting according to known, relatively simple, physical laws.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Statistical_physics" target="_blank"><img src="img/fieldguide/StatisticalPhysics.png" alt="Statistical Physics"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-cognition" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Subitizing" target="_blank"><b>SUBITIZING</b></a></br> Ability to quickly determine the exact quantity of a (small) collection of objects upon perception.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Subitizing" target="_blank"><img src="img/fieldguide/Subitizing.png" alt="Subitizing"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-mathematics filter-computation" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Automated_theorem_proving" target="_blank"><b>THEOREM PROVER</b></a></br> A computational system that automatizes the process of deriving logically consistent statements from a given set of axioms.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Automated_theorem_proving" target="_blank"><img src="img/fieldguide/TheoremProver.png" alt="Theorem Prover"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 portfolio-item filter-philosophy filter-biology" "wow fadeInUp"> <div id="card"> <div class="product-details"> <p class="information" align="justify">  <a href="https://en.wikipedia.org/wiki/Mathematical_and_theoretical_biology" target="_blank"><b>THEORETICAL BIOLOGY</b></a></br> Discipline dedicated to the formal modelling of biological systems by developing mathematical and philosophical frameworks.</br></br> <div class="control"> </div> </div>  <div class="product-image"> <a href="https://en.wikipedia.org/wiki/Mathematical_and_theoretical_biology" target="_blank"><img src="img/fieldguide/TheoreticalBiology.png" alt="Theoretical Biology"></a> </div>  </div> </div>  <div class="col-lg-4 col-md-6 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