The Foundations of Mathematics in the Theory of Sets

The Foundations of Mathematics in the Theory of Sets
Author :
Publisher : Cambridge University Press
Total Pages : 454
Release :
ISBN-10 : 0521770343
ISBN-13 : 9780521770347
Rating : 4/5 (43 Downloads)

Book Synopsis The Foundations of Mathematics in the Theory of Sets by : John P. Mayberry

Download or read book The Foundations of Mathematics in the Theory of Sets written by John P. Mayberry and published by Cambridge University Press. This book was released on 2000 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. The author investigates the logic of quantification over the universe of sets and discusses its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. Suitable for graduate students and researchers in both philosophy and mathematics.


The Foundations of Mathematics in the Theory of Sets Related Books

The Foundations of Mathematics in the Theory of Sets
Language: en
Pages: 454
Authors: John P. Mayberry
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematic
Conceptions of Set and the Foundations of Mathematics
Language: en
Pages: 255
Authors: Luca Incurvati
Categories: History
Type: BOOK - Published: 2020-01-23 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory
Language: en
Pages: 222
Authors: Douglas Cenzer
Categories: Mathematics
Type: BOOK - Published: 2020-04-04 - Publisher: World Scientific

DOWNLOAD EBOOK

This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate stu
The Logical Foundations of Mathematics
Language: en
Pages: 331
Authors: William S. Hatcher
Categories: Mathematics
Type: BOOK - Published: 2014-05-09 - Publisher: Elsevier

DOWNLOAD EBOOK

The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-co
Set Theory, Arithmetic, and Foundations of Mathematics
Language: en
Pages: 242
Authors: Juliette Kennedy
Categories: Mathematics
Type: BOOK - Published: 2011-09-01 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contem