Logic, Semantics, Metamathematics

Logic, Semantics, Metamathematics

Author: Alfred Tarski

Publisher: Hackett Publishing Company Incorporated

Published: 1983

Total Pages: 506

ISBN-13: 9780915144754

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Published with the aid of a grant from the National Endowment for the Humanities. Contains the only complete English-language text of The Concept of Truth in Formalized Languages. Tarski made extensive corrections and revisions of the original translations for this edition, along with new historical remarks. It includes a new preface and a new analytical index for use by philosophers and linguists as well as by historians of mathematics and philosophy.


A Formalization of Set Theory without Variables

A Formalization of Set Theory without Variables

Author: Alfred Tarski

Publisher: American Mathematical Soc.

Published: 1987

Total Pages: 342

ISBN-13: 0821810413

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Culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. This work shows that set theory and number theory can be developed within the framework of a new, different and simple equational formalism, closely related to the formalism of the theory of relation algebras.


Alfred Tarski and the "Concept of Truth in Formalized Languages"

Alfred Tarski and the

Author: Monika Gruber

Publisher: Springer

Published: 2016-09-02

Total Pages: 197

ISBN-13: 3319326163

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This book provides a detailed commentary on the classic monograph by Alfred Tarski, and offers a reinterpretation and retranslation of the work using the original Polish text and the English and German translations. In the original work, Tarski presents a method for constructing definitions of truth for classical, quantificational formal languages. Furthermore, using the defined notion of truth, he demonstrates that it is possible to provide intuitively adequate definitions of the semantic notions of definability and denotation and that the notion in a structure can be defined in a way that is analogous to that used to define truth. Tarski’s piece is considered to be one of the major contributions to logic, semantics, and epistemology in the 20th century. However, the author points out that some mistakes were introduced into the text when it was translated into German in 1935. As the 1956 English version of the work was translated from the German text, those discrepancies were carried over in addition to new mistakes. The author has painstakingly compared the three texts, sentence-by-sentence, highlighting the inaccurate translations, offering explanations as to how they came about, and commenting on how they have influenced the content and suggesting a correct interpretation of certain passages. Furthermore, the author thoroughly examines Tarski’s article, offering interpretations and comments on the work.


Undecidable Theories

Undecidable Theories

Author: Alfred Tarski

Publisher: Dover Books on Mathematics

Published: 2010

Total Pages: 0

ISBN-13: 9780486477039

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This well-known book by the famed logician consists of three treatises: A General Method in Proofs of Undecidability, Undecidability and Essential Undecidability in Mathematics, and Undecidability of the Elementary Theory of Groups. 1953 edition.


Logicism, Intuitionism, and Formalism

Logicism, Intuitionism, and Formalism

Author: Sten Lindström

Publisher: Springer Science & Business Media

Published: 2008-11-25

Total Pages: 509

ISBN-13: 1402089260

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This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.


The Concept of Logical Consequence

The Concept of Logical Consequence

Author: John Etchemendy

Publisher: Stanford Univ Center for the Study

Published: 1999

Total Pages: 174

ISBN-13: 9781575861944

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The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.


Alfred Tarski

Alfred Tarski

Author: Anita Burdman Feferman

Publisher: Cambridge University Press

Published: 2004-10-04

Total Pages: 442

ISBN-13: 9780521802406

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Sentential Probability Logic

Sentential Probability Logic

Author: Theodore Hailperin

Publisher: Lehigh University Press

Published: 1996

Total Pages: 316

ISBN-13: 9780934223454

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This study presents a logic in which probability values play a semantic role comparable to that of truth values in conventional logic. The difference comes in with the semantic definition of logical consequence. It will be of interest to logicians, both philosophical and mathematical, and to investigators making use of logical inference under uncertainty, such as in operations research, risk analysis, artificial intelligence, and expert systems.