Limit search to available items
Book Cover
E-book

Title Foundational theories of classical and constructive mathematics / Giovanni Sommaruga, Editor
Published Dordrecht ; New York : Springer, ©2011

Copies

Description 1 online resource (xi, 314 pages)
Series The Western Ontario series in philosophy of science ; v. 76
University of Western Ontario series in philosophy of science ; v. 76
Contents Introduction : Giovanni Sommaruga Part I: Senses of 'foundations of mathematics' Bob Hale, The Problem of Mathematical Objects Goeffrey Hellman, Foundational Frameworks Penelope Maddy, Set Theory as a Foundation Stewart Shapiro, Foundations, Foundationalism, and Category Theory -- Part II: Foundations of classical mathematics Steve Awodey, From Sets to Types, to Categories, to Sets Solomon Feferman, Enriched Stratified Systems for the Foundations of Category TheoryColin McLarty, Recent Debate over Categorical Foundations -- Part III: Between foundations of classical and foundations of constructive mathematics John Bell, The Axiom of Choice in the Foundations of Mathematics Jim Lambek and Phil Scott, Reflections on a Categorical Foundations of Mathematics -- Part IV: Foundations of constructive mathematics Peter Aczel, Local Constructive Set Theory and Inductive Definitions David McCarty, Proofs and Constructions John Mayberry, Euclidean Arithmetic: The Finitary Theory of Finite Sets, Paul Taylor, Foundations for Computable Topology Richard Tieszen, Intentionality, Intuition, and Proof in Mathematics
Summary The book ""Foundational Theories of Classical and Constructive Mathematics"" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of f
Bibliography Includes bibliographical references
Notes English
Print version record
In Springer eBooks
Subject Mathematics -- Philosophy.
Constructive mathematics -- Philosophy
MATHEMATICS -- History & Philosophy.
Sciences sociales.
Droit.
Sciences humaines.
Matemáticas -- Filosofía
Mathematics -- Philosophy
Form Electronic book
Author Sommaruga, Giovanni.
ISBN 9789400704312
9400704313
9400704305
9789400704305
1283086107
9781283086103
9786613086105
661308610X