Overview
- Discusses logical, methodological, epistemological, and ontological issues relevant to understanding the development of modern logic
- Explores the main reasons motivating the giants who established modern logic and philosophy of mathematics
- Analyzes key philosophical problems of logic and mathematics in their historical context
- Offers a fresh perspective on Aristotelian philosophy of logic and mathematics
Part of the book series: Studies in Applied Philosophy, Epistemology and Rational Ethics (SAPERE, volume 43)
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Table of contents (12 chapters)
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Front Matter
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Part I The Fregean Legacy
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Front Matter
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Part II The Hilbert School
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Front Matter
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Part III Goedel and Tarski
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Front Matter
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Part IV Back to Aristotle
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Front Matter
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Back Matter
Keywords
About this book
This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski’s and Gödel’s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy’s mathematical naturalism and Shapiro’s mathematical structuralism. Last but not least, the book introduces Biancani’s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century.
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Authors and Affiliations
Bibliographic Information
Book Title: Philosophy's Loss of Logic to Mathematics
Book Subtitle: An Inadequately Understood Take-Over
Authors: Woosuk Park
Series Title: Studies in Applied Philosophy, Epistemology and Rational Ethics
DOI: https://doi.org/10.1007/978-3-319-95147-8
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-95146-1Published: 24 July 2018
Softcover ISBN: 978-3-030-06984-1Published: 30 January 2019
eBook ISBN: 978-3-319-95147-8Published: 12 July 2018
Series ISSN: 2192-6255
Series E-ISSN: 2192-6263
Edition Number: 1
Number of Pages: XII, 230
Topics: Logic, History of Mathematical Sciences, Philosophy of Mathematics, Mathematical Logic and Foundations, Epistemology