Intuitionistic Proof Versus Classical Truth: The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics (1st ed. 2018) (Logic, Epistemology, and the Unity of Science #42)

Synopsis

This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism.The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the process he also discusses an important, related question: to what extent does the intuitionistic perspective succeed in avoiding the classical realistic notion of truth? The papers detail realistic aspects in the idealization of the creative subject and investigate the hidden role of choice even in classical logic and mathematics, covering such topics as bar theorem, type theory, inductive evidence, Beth models, fallible models, and more. In addition, the author offers a critical analysis of the response of key mathematicians and philosophers to Brouwer’s work. These figures include Michael Dummett, Saul Kripke, Per Martin-Löf, and Arend Heyting.This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.

Copyright:

2018

Book Details

Book Quality:

Publisher Quality

ISBN-13:

9783319743578

Related ISBNs:

9783319743561

Publisher:

Springer International Publishing

Date of Addition:

10/16/18

Copyrighted By:

Springer International Publishing AG

Adult content:

No

Language:

English

Has Image Descriptions:

No

Categories:

History, Nonfiction, Literature and Fiction, Language Arts, Mathematics and Statistics, Philosophy

Submitted By:

Bookshare Staff

Usage Restrictions:

This is a copyrighted book.