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Intuitionistic proof versus classica...

Martino, Enrico.

Intuitionistic proof versus classical truththe role of Brouwer's creative subject in intuitionistic mathematics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Intuitionistic proof versus classical truthby Enrico Martino.
其他題名:	the role of Brouwer's creative subject in intuitionistic mathematics /
作者:	Martino, Enrico.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xiii, 170 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Intuitionistic mathematics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-74357-8
ISBN:	9783319743578$q(electronic bk.)

Intuitionistic proof versus classical truththe role of Brouwer's creative subject in intuitionistic mathematics /
Martino, Enrico.

Intuitionistic proof versus classical truththe role of Brouwer's creative subject in intuitionistic mathematics /[electronic resource] :by Enrico Martino. - Cham :Springer International Publishing :2018. - xiii, 170 p. :ill., digital ;24 cm. - Logic, epistemology, and the unity of science,v.422214-9775 ;. - Logic, epistemology, and the unity of science ;v.23..

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.

ISBN: 9783319743578$q(electronic bk.)

Standard No.: 10.1007/978-3-319-74357-8doiSubjects--Topical Terms:

307728
Intuitionistic mathematics.

LC Class. No.: QA8.4 / .M37 2018

Dewey Class. No.: 510.1

Intuitionistic proof versus classical truththe role of Brouwer's creative subject in intuitionistic mathematics /
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