Foundations of Mathematics in the Theory of Sets

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This 2001 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'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. The subject matter of the book falls on the borderline between philosophy and mathematics, and should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.

Format: Hardback CONTRIBUTORS: John P. Mayberry EAN: 9780521770347 COUNTRY: United Kingdom PAGES: 446 WEIGHT: 800 g HEIGHT: 237 mm

PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2001-03-22 CITY: GENRE: MATHEMATICS / Logic, MATHEMATICS / Set Theory, PHILOSOPHY / General WIDTH: 163 mm SPINE:

Book Themes:

Mathematical logic, Set theory, Philosophy

Format: Hardback CONTRIBUTORS: John P. Mayberry EAN: 9780521770347 COUNTRY: United Kingdom PAGES: 446 WEIGHT: 800 g HEIGHT: 237 mm

PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2001-03-22 CITY: GENRE: MATHEMATICS / Logic, MATHEMATICS / Set Theory, PHILOSOPHY / General WIDTH: 163 mm SPINE:

Book Themes:

Mathematical logic, Set theory, Philosophy

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Foundations of Mathematics in the Theory of Sets

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