num_pages: 446
description: This unified approach to the foundations of mathematics in the theory of sets covers 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 book contains an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, and the analysis of proof by induction and definition by recursion. The book should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.
language: English
title: The Foundations of Mathematics in the Theory of Sets
titlecomplete: The Foundations of Mathematics in the Theory of Sets (Encyclopedia of Mathematics and its Applications, Series Number 82)
genres: Mathematics
series: Encyclopedia of Mathematics and its Applications
publisher: Cambridge University Press