Undecidable Theories: Studies in Logic and the Foundation of Mathematics (Dover Books on Mathematics)

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9780486477039: Undecidable Theories: Studies in Logic and the Foundation of Mathematics (Dover Books on Mathematics)

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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About the Author:

Polish mathematician Alfred Tarski (1901-83) ranks among the greatest logicians of all time. Best known for his work on model theory, meta mathematics, and algebraic logic, he contributed to many other fields of mathematics and taught at the University of California, Berkeley, for more than 40 years.
Tarski's student Andrzej Mostowksi worked at the University of Warsaw on first-order logic and model theory.
Tarski's University of California colleague Raphael M. Robinson built on Tarski's concept of essential undecidability and proved a number of mathematical theories undecidable.

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Tarski, Alfred
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Descripción 2010. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486477039

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Descripción Dover Publications, 2010. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0486477037

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Alfred Tarski
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Descripción Dover Publications Inc., United States, 2010. Paperback. Estado de conservación: New. Dover.. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486477039

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Alfred Tarski
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Descripción Dover Publications Inc., United States, 2010. Paperback. Estado de conservación: New. Dover.. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486477039

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Descripción 2010. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486477039

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Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486477037

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Descripción Dover Publications 8/19/2010, 2010. Paperback or Softback. Estado de conservación: New. Undecidable Theories: Studies in Logic and the Foundation of Mathematics. Book. Nº de ref. de la librería BBS-9780486477039

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Alfred Tarski
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Descripción Dover Publications Inc., United States, 2010. Paperback. Estado de conservación: New. Dover.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Nº de ref. de la librería BTE9780486477039

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Tarski, Alfred; Mostowski, Andrzej; Robinson, Raphael M.; Mathematics
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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486477037. Nº de ref. de la librería Z0486477037ZN

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Alfred Tarski; Andrzej Mostowski; Raphael M. Robinson; Mathematics
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