书目名称 | From Logic to Practice | 副标题 | Italian Studies in t | 编辑 | Gabriele Lolli,Marco Panza,Giorgio Venturi | 视频video | | 概述 | Allows young (untenured) scholars meet philosophy in their (non philosophical) work.Revisits traditional questions and explores new realities.Demonstrates the limits of formalization.Includes suppleme | 丛书名称 | Boston Studies in the Philosophy and History of Science | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2015 | 关键词 | Axioms of Set Theory; Church’s Thesis and Naturalness of Axioms; Constructibility, Naturalism, Axiomat | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-10434-8 | isbn_softcover | 978-3-319-34845-2 | isbn_ebook | 978-3-319-10434-8Series ISSN 0068-0346 Series E-ISSN 2214-7942 | issn_series | 0068-0346 | copyright | Springer International Publishing Switzerland 2015 |
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