9780521770347 - The Foundations of Mathematics in the Theory of Sets (Encyclopedia of Mathematics & Its Applications) von Mayberry, John P. (3 Ergebnisse)

Zustand: New. In.

Zustand: New. This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics. Series Editor(s): Rota, G.-C.; Doran, B.; Ismail, M.; Lam, T. Y.; Wutwak, E.; Flajolet, Philippe; Lutwak, E. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 446 pages, appendices, bibliography, index. BIC Classification: HP; PBCD; PBCH. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 25. Weight in Grams: 764. . 2001. Illustrated. hardcover. . . . . Books ship from the US and Ireland.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.