Reflections on the Foundations of Mathematics

Reflections on the Foundations of Mathematics
Author :
Publisher : Springer Nature
Total Pages : 511
Release :
ISBN-10 : 9783030156558
ISBN-13 : 3030156559
Rating : 4/5 (58 Downloads)

Book Synopsis Reflections on the Foundations of Mathematics by : Stefania Centrone

Download or read book Reflections on the Foundations of Mathematics written by Stefania Centrone and published by Springer Nature. This book was released on 2019-11-11 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Reflections on the Foundations of Mathematics Related Books

Reflections on the Foundations of Mathematics
Language: en
Pages: 511
Authors: Stefania Centrone
Categories: Mathematics
Type: BOOK - Published: 2019-11-11 - Publisher: Springer Nature

DOWNLOAD EBOOK

This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations.
Kurt Gödel and the Foundations of Mathematics
Language: en
Pages: 541
Authors: Matthias Baaz
Categories: Mathematics
Type: BOOK - Published: 2011-06-06 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order
Labyrinth of Thought
Language: en
Pages: 472
Authors: Jose Ferreiros
Categories: Mathematics
Type: BOOK - Published: 2001-11-01 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize
Bemerkungen Über Die Grundlagen Der Mathematik
Language: de
Pages: 204
Authors: Ludwig Wittgenstein
Categories: Mathematics
Type: BOOK - Published: 1972 - Publisher:

DOWNLOAD EBOOK

Pluralism in Mathematics: A New Position in Philosophy of Mathematics
Language: en
Pages: 297
Authors: Michèle Friend
Categories: Science
Type: BOOK - Published: 2013-11-20 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematic