FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS, THE

FOUNDATIONS OF MATHEMATICS IN THE THEORY OF SETS, THE

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.
Editora: CAMBRIDGE UNIVERSITY PRESS
ISBN: 0521770343
ISBN13: 9780521770347
Edição: 1ª Edição - 2001
Número de Páginas: 444
Acabamento: HARDCOVER
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