Collected Papers
Volume 4: 1958-1979
Published on 1. January 2019
Book
Hardback
XVII, 757 pages
978-3-319-95416-5 (ISBN)
Description
Alfred Tarski was one of the two giants of the twentieth-century development of logic, along with Kurt Goedel. The four volumes of this collection contain all of Tarski's published papers and abstracts, as well as a comprehensive bibliography. Here will be found many of the works, spanning the period 1921 through 1979, which are the bedrock of contemporary areas of logic, whether in mathematics or philosophy. These areas include the theory of truth in formalized languages, decision methods and undecidable theories, foundations of geometry, set theory, and model theory, algebraic logic, and universal algebra.
More details
Edition
1st ed. 2019
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
15 s/w Abbildungen, 1 farbige Abbildung
XVII, 757 p. 16 illus., 1 illus. in color.
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 47 mm
Weight
1630 gr
ISBN-13
978-3-319-95416-5 (9783319954165)
DOI
10.1007/978-3-319-95417-2
Schweitzer Classification
Content
The sentential calculus with infinitely long expressions (with D. Scott).- Remarks on predicate logic with infinitely long expressions.- What is elementary geometry?.- On two properties of free algebras (with B. Jónsson).- Cylindric algebras (with L. Henkin).- On some problems involving inaccessible cardinals (with P. Erdös).- Some problems and results relevant to the foundations of set theory.- From accessible to inaccessible cardinals. Results holding for all accessible cardinal numbers and the problem of their extension to inaccessible ones (with H. J. Keisler).- Refinement properties for relational structures (with C. C. Chang and B. Jónsson).- A simplified formalization of predicate logic with identity.- Metamathematical properties of some affine geometries (with L. W. Szczerba).- The completeness of elementary algebra and geometry.- Equational logic and equational theories of algebras.- An extended arithmetic of ordinal numbers (with J. Doner).- Truth and proof.- An interpolation theorem for irredundant bases of closure structures.- The elementary theory of well-ordering - A metamathematical study (with J. Doner and A. Mostowski).- Metamathematical discussion of some affine geometries (with L. W. Szczerba).- Abstracts.- Summaries of Talks Presented at the Summer Institute for Symbolic Logic, Cornell University, 1957.- Problems, Reviews, Contributions to Discussions.- Bibliography of Alfred Tarski by S. Givant.