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David Corfield

Biographic Data

ID1294289
NAMEDavid Corfield
GIVEN NAMESDavid
FAMILY NAMECorfield
SIGNATURECORFIELD D
AFFILIATIONSUniversity of Kent
ORCID0000-0003-0432-3221
VERIFIEDYes
TOTAL WORKS10
TOTAL CITATIONS5
WORKS AS AUTHOR10
WORKS AS EDITOR0
FIRST PUBLICATION YEAR1997
LATEST PUBLICATION YEAR2020
H-INDEX2
  • Expressing ‘the structure of’ in homotopy type theory

    Open Access•David Corfield•ARTICLE•Synthese•2020•References: 9

    As a new foundational language for mathematics with its very different idea as to the status of logic, we should expect homotopy type theory to shed new light on some of the problems of philosophy which have been treated by logic. In this article, definite description, and in particular its employment within mathematics, is formulated within the type theory. Homotopy type theory has been proposed as an inherently structuralist foundational langua…

  • Modal Homotopy Type Theory

    David Corfield•BOOK•Modal Homotopy Type Theory•2020

  • Duality as a category-theoretic concept

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2017

  • Understanding the infinite II

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2011•References: 11

  • Towards a Philosophy of Real Mathematics

    David Corfield•BOOK•Towards a Philosophy of Real…•2009

  • Complementarity and Convergence in the Philosophies of Mathematics and Physics

    Open Access•David Corfield•ARTICLE•Metascience•2006

  • An Introduction to the Philosophy of Mathematics

    David Corfield, Madeline Muntersbjorn•BOOK•An Introduction to the Philosophy…•2004

  • Conceptual mathematics

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2002

  • The importance of mathematical conceptualisation

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2001•Cited by: 2•References: 11

  • Assaying lakatos's philosophy of mathematics

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•1997•Cited by: 3•References: 13

  • Assaying lakatos's philosophy of mathematics

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•1997•Cited by: 3•References: 13

  • The importance of mathematical conceptualisation

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2001•Cited by: 2•References: 11

  • Assaying lakatos's philosophy of mathematics

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•1997•Cited by: 3•References: 13

  • The importance of mathematical conceptualisation

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2001•Cited by: 2•References: 11

  • Conceptual mathematics

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2002

  • An Introduction to the Philosophy of Mathematics

    David Corfield, Madeline Muntersbjorn•BOOK•An Introduction to the Philosophy…•2004

  • Complementarity and Convergence in the Philosophies of Mathematics and Physics

    Open Access•David Corfield•ARTICLE•Metascience•2006

  • Towards a Philosophy of Real Mathematics

    David Corfield•BOOK•Towards a Philosophy of Real…•2009

  • Understanding the infinite II

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2011•References: 11

  • Duality as a category-theoretic concept

    Open Access•David Corfield•ARTICLE•Studies in History and Philosophy…•2017

  • Expressing ‘the structure of’ in homotopy type theory

    Open Access•David Corfield•ARTICLE•Synthese•2020•References: 9

    As a new foundational language for mathematics with its very different idea as to the status of logic, we should expect homotopy type theory to shed new light on some of the problems of philosophy which have been treated by logic. In this article, definite description, and in particular its employment within mathematics, is formulated within the type theory. Homotopy type theory has been proposed as an inherently structuralist foundational langua…

  • Modal Homotopy Type Theory

    David Corfield•BOOK•Modal Homotopy Type Theory•2020

Mathematics (8 works) · Epistemology (7 works) · Philosophy (7 works) · History and Theory of Mathematics (4 works) · Philosophy (4 works) · Philosophy and History of Science (4 works) · Pure mathematics (4 works) · Algebra over a field (3 works) · Computability, Logic, AI Algorithms (3 works) · Computer Science (3 works)

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