Intuitionistic Proof Versus Classical Truth (e-bog) af Martino, Enrico
Martino, Enrico (forfatter)

Intuitionistic Proof Versus Classical Truth e-bog

875,33 DKK (inkl. moms 1094,16 DKK)
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 ...
E-bog 875,33 DKK
Forfattere Martino, Enrico (forfatter)
Forlag Springer
Udgivet 23 februar 2018
Genrer Language and Linguistics
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783319743578
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-Lof, and Arend Heyting.This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.