Feferman on Foundations: Logic, Mathematics, Philosophy - Outstanding Contributions to Logic - - 書籍 - Springer Nature Switzerland AG - 9783030096915 - 2018年12月9日
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Feferman on Foundations: Logic, Mathematics, Philosophy - Outstanding Contributions to Logic Softcover Reprint of the Original 1st 2017 edition

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This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman?s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman?s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community.

With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel?s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory.

In his philosophical research, Feferman explored questions such as ?What is logic?? and proposed particular positions regarding the foundations of mathematics including, for example, his ?conceptual structuralism.? The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman?s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman?s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.

551 pages, 4 Illustrations, black and white; LXXX, 551 p. 4 illus.

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2018年12月9日
ISBN13 9783030096915
出版社 Springer Nature Switzerland AG
ページ数 551
寸法 156 × 235 × 37 mm   ·   938 g
言語 ドイツ語  
編集者 Jager, Gerhard
編集者 Sieg, Wilfried

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