Reflections on the Foundations of Mathematics

Language: English

Published by Springer, Springer Nov 2020, 2020

3030156575 / 9783030156572

Series: Book 248 of 304 - Synthese Library

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This item is printed on demand - Print on Demand Titel. Neuware -This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives.The volume is divided into three sections, the first two of which focus on the two most prominent candidate theories for a foundation of mathematics. Readers may trace current research in set theory, which has widely been assumed to serve as a framework for foundational issues, as well as new material elaborating on the univalent foundations, considering an approach based on homotopy type theory (HoTT). The third section then builds on this and is centred on philosophical questions connected to the foundations of mathematics. Here, the authors contribute to discussions on foundational criteria with more general thoughts on the foundations of mathematics which are not connected to particular theories.This book shares the work of some of the most important scholars in the fields of set theory (S. Friedman), non-classical logic (G. Priest) and the philosophy of mathematics (P. Maddy). The reader will become aware of the advantages of each theory and objections to it as a foundation, following the latest and best work across the disciplines and it is therefore a valuable read for anyone working on the foundations of mathematics or in the philosophy of mathematics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 524 pp. Englisch.…

Seller Inventory # 9783030156572

Title
Reflections on the Foundations of Mathematics
Author
Stefania Centrone
Publisher
Springer, Springer Nov 2020
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3030156575
ISBN 13
9783030156572
Item weight
785 grams
Dimensions
235x155x29 mm
Series
Book 248 of 304: Synthese Library

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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