What is a Mathematical Concept?Elizabeth de Freitas, Nathalie Sinclair, Alf Coles Responding to widespread interest within cultural studies and social inquiry, this book addresses the question 'what is a mathematical concept?' using a variety of vanguard theories in the humanities and posthumanities. Tapping historical, philosophical, sociological and psychological perspectives, each chapter explores the question of how mathematics comes to matter. Of interest to scholars across the usual disciplinary divides, this book tracks mathematics as a cultural activity, drawing connections with empirical practice. Unlike other books in this area, it is highly interdisciplinary, devoted to exploring the ontology of mathematics as it plays out in different contexts. This book will appeal to scholars who are interested in particular mathematical habits - creative diagramming, structural mappings, material agency, interdisciplinary coverings - that shed light on both mathematics and other disciplines. Chapters are also relevant to social sciences and humanities scholars, as each offers philosophical insight into mathematics and how we might live mathematically. |
Contents
Homotopy Type Theory and the Vertical Unity of Concepts | 7 |
Michael Harris | 144 |
Queering Mathematical Concepts | 163 |
1o Mathematics Concepts in the News | 177 |
Concepts and Commodities in Mathematical Learning | 191 |
A Relational View of Mathematical Concepts | 213 |
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What is a Mathematical Concept? Elizabeth de Freitas,Nathalie Sinclair,Alf Coles Limited preview - 2017 |
Common terms and phrases
abstract algebraic algebraic variety approach Archimedes Archimedes Palimpsest argued basic Bloor Cambridge Cantor cepts chapter cognition cohomology complex concept of number construction context cube Cuisenaire rods cultural curriculum defined Deleuze diagram differential discourses discovery learning drawing ematical étale cohomology Euclidean example existence finitist formal framing function Galois Gattegno geometry Greek mathematical groupoid Guattari homotopy type theory human ideas infinite infinity Lakatos Lautman logic manifold math mathematical concepts mathematical problems mathematicians mathematics education matics meaning finitism meaning finitist memeplexes memes memetics metaphor nature Netz non-Euclidean geometry notion number line p-adic p-adic Hodge theory particular perfectoid spaces philosophy of mathematics physical plane of immanence polyhedra polyhedron proof proposition pyjamas question reference relation representation Riemann Scholze Scholze's school mathematics sense social structure teacher theorem theory of mathematical theory of problems thing thinking thought tion understanding University Press virtual