Cardinal Algebras. With an appendix, Cardinal Products of Isomorphism Types, by Bjarni Jónsson and Alfred Tarski.

TARSKI, Alfred (1902-1983):

Published by New York: Oxford University Press, 1949., 1949

About this Item

xii, 326 pp. Original cloth. Signature of former owner on front flyleaf, else Very good+, in very good dust jacket. 'This book is an axiomatic investigation of the novel types of algebraic systems which arise from three sources: the arithmetic of cardinal numbers; the formal properties of the direct product decompositions of algebraic systems; the algebraic aspects of invariant measures, regarded as functions on a field of sets. . . . The book is replete with novel algebraic notions; it is written in logical style; all theorems (important and unimportant) are explicitly stated, and the proofs are carefully cross-referenced' (Saunders MacLane, review for Bull. Amer. Math. Soc. 56, 1950, pp. 485-516). 'The Interludes [in Feferman & Feferman's Alfred Tarski: Life and Logic] . . . give a brief but precise account of Tarski's other endeavors. Thus, in Interlude IV we learn in just a few words (p. 191) what the aim was of Tarski's Cardinal Algebras (published in 1949): 'to isolate in algebraic form a number of results about finite and infinite cardinal numbers that could be proved without using the Axiom of Choice' (Hourya Benis Sinaceur's review of Feferman & Feferman, Notices of the AMS, Sept. 2007).

Seller Inventory # 19403

Bibliographic Details

• Title: Cardinal Algebras. With an appendix, Cardinal Products of Isomorphism Types, by Bjarni Jónsson and Alfred Tarski.
• Publisher: New York: Oxford University Press, 1949.
• Publication Date: 1949
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Near Fine
• Dust Jacket Condition: Very Good