Intuitionistic Proof Versus Classical Truth: The Role Of Brouwer's Creative Subject In Intuitionistic Mathematics (Logic, Epistemology, and the Unity of Science #42)

By: Enrico Martino

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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.

Book Quality:: Publisher Quality
ISBN-13:: 9783319743578
Publisher:: Springer International Publishing
Date of Addition:: 07/16/18
Copyrighted By:: Springer
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.