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portada undecidable theories
Type
Physical Book
Year
2010
Language
English
Pages
112
Format
Paperback
Dimensions
20.8 x 13.5 x 1.0 cm
Weight
0.16 kg.
ISBN
0486477037
ISBN13
9780486477039

undecidable theories

Alfred Tarski (Author) · Andrzej Mostowski (Author) · Raphael M. Robinson (Author) · Dover Publications · Paperback

undecidable theories - Tarski, Alfred ; Mostowski, Andrzej ; Robinson, Raphael M.

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Synopsis "undecidable theories"

This graduate-level book is well known for its proof that many mathematical systems--including lattice theory, abstract projective geometry, and closure algebras--are undecidable. Based on research conducted from 1938 to 1952, it consists of three treatises by a prolific author who ranks among the greatest logicians of all time. The first article, A General Method in Proofs of Undecidability, examines theories with standard formalization, undecidable theories, interpretability, and relativization of quantifiers. The second feature, Undecidability and Essential Undecidability in Mathematics, explores definability in arbitrary theories and the formalized arithmetic of natural numbers. It also considers recursiveness, definability, and undecidability in subtheories of arithmetic as well as the extension of results to other arithmetical theories. The compilation concludes with "Undecidability of the Elementary Theory of Groups.

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