Intuitionistic Proof Versus Classical Truth: The Role of Brouwers Creative Subject in Intuitionistic Mathematics free ebook download.

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Intuitionistic Proof Versus Classical Truth: The Role of Brouwers Creative Subject in Intuitionistic Mathematics free ebook download

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Mathematics

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Catalogue

Author(s):	Enrico Martino

Date:	2018-03-05	Format:	PDF	Language:	English	ISBN/ASIN:	3319743562
Pages:	170	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	1/11/2021 2:28:37 PM

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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 Brouwers 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 Brouwers work. These figures include Michael Dummett, Saul Kripke, Per Martin-Lf, and Arend Heyting. This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.

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2936910	Book	https://nitroflare.com/view/48927A48F4DE...		5.04	maveriks

Tags: Brouwers Classical Creative Intuitionistic Mathematics Proof Role Subject Truth Versus

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