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From logic to practice[electronic re...
~
Lolli, Gabriele.
From logic to practice[electronic resource] :Italian studies in the philosophy of mathematics /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
510.1
書名/作者:
From logic to practice : Italian studies in the philosophy of mathematics // edited by Gabriele Lolli, Marco Panza, Giorgio Venturi.
其他作者:
Lolli, Gabriele.
出版者:
Cham : : Springer International Publishing :, 2015.
面頁冊數:
xix, 336 p. : : ill., digital ;; 24 cm.
Contained By:
Springer eBooks
標題:
Mathematics - History.
標題:
Philosophy.
標題:
Epistemology.
標題:
Mathematical Logic and Foundations.
標題:
Philosophy of Science.
標題:
Mathematics - Philosophy.
標題:
Logic.
ISBN:
9783319104348 (electronic bk.)
ISBN:
9783319104331 (paper)
摘要、提要註:
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.
電子資源:
http://dx.doi.org/10.1007/978-3-319-10434-8
From logic to practice[electronic resource] :Italian studies in the philosophy of mathematics /
From logic to practice
Italian 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.303..
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:
386766
Mathematics
--History.
LC Class. No.: QA8.4 / .F76 2015
Dewey Class. No.: 510.1
From logic to practice[electronic resource] :Italian studies in the philosophy of mathematics /
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