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From logic to practiceItalian studie...

Lolli, Gabriele.

From logic to practiceItalian studies in the philosophy of mathematics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	From logic to practiceedited by Gabriele Lolli, Marco Panza, Giorgio Venturi.
Reminder of title:	Italian studies in the philosophy of mathematics /
other author:	Lolli, Gabriele.
Published:	Cham :Springer International Publishing :2015.
Description:	xix, 336 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	MathematicsPhilosophy.
Online resource:	http://dx.doi.org/10.1007/978-3-319-10434-8
ISBN:	9783319104348 (electronic bk.)

From logic to practiceItalian studies in the philosophy of mathematics /
From logic to practiceItalian studies in the philosophy of mathematics /[electronic resource] :edited by Gabriele Lolli, Marco Panza, Giorgio Venturi. - Cham :Springer International Publishing :2015. - xix, 336 p. :ill., digital ;24 cm. - Boston studies in the philosophy and history of science,v.3080068-0346 ;. - Boston studies in the philosophy and history of science ;v.295..

This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.

ISBN: 9783319104348 (electronic bk.)

Standard No.: 10.1007/978-3-319-10434-8doiSubjects--Topical Terms:

187658
Mathematics
--Philosophy.

LC Class. No.: QA8.4 / .F76 2015

Dewey Class. No.: 510.1

From logic to practiceItalian studies in the philosophy of mathematics /
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520 $a This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.
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