From Logic to Practice: Italian Studies in the Philosophy of Mathematics Gabriele Lolli

ISBN: 9783319104331

Published: December 14th 2014

Hardcover

342 pages


Description

From Logic to Practice: Italian Studies in the Philosophy of Mathematics  by  Gabriele Lolli

From Logic to Practice: Italian Studies in the Philosophy of Mathematics by Gabriele Lolli
December 14th 2014 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 342 pages | ISBN: 9783319104331 | 3.46 Mb

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 bookMoreThis 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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