Collected Papers

Volume 4: 1958-1979

Alfred Tarski (Autor)

Buch | Hardcover

XVII, 757 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-319-95416-5 (ISBN)

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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.

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.

Erscheinungsdatum	03.01.2019
Zusatzinfo	XVII, 757 p. 16 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	178 x 254 mm
Gewicht	1637 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
Schlagworte	Alfred Tarski • algebraic logic • Mathematical Logic • philosophy of mathematics • Theory of truth in formalized languages • universal algebra
ISBN-10	3-319-95416-4 / 3319954164
ISBN-13	978-3-319-95416-5 / 9783319954165
Zustand	Neuware