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Logic, Semantics, Metamathematics

Author : Alfred Tarski
Publisher : Hackett Publishing Company Incorporated
Page : 506 pages
File Size : 20,20 MB
Release : 1983
Category : Philosophy
ISBN : 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

Author : Alfred Tarski
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 39,77 MB
Release : 1987
Category : Mathematics
ISBN : 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"

Author : Monika Gruber
Publisher : Springer
Page : 197 pages
File Size : 21,54 MB
Release : 2016-09-02
Category : Philosophy
ISBN : 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.

Alfred Tarski and the Vienna Circle

Author : Jan Wolenski
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 33,11 MB
Release : 2013-03-09
Category : Science
ISBN : 9401706891

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The larger part of Yearbook 6 of the Institute Vienna Circle constitutes the proceedings of a symposium on Alfred Tarski and his influence on and interchanges with the Vienna Circle, especially those on and with Rudolf Carnap and Kurt Gödel. It is the first time that this topic has been treated on such a scale and in such depth. Attention is mainly paid to the origins, development and subsequent role of Tarski's definition of truth. Some contributions are primarily historical, others analyze logical aspects of the concept of truth. Contributors include Anita and Saul Feferman, Jan Wolenski, Jan Tarski and Hans Sluga. Several Polish logicians contributed: Gzegorczyk, Wójcicki, Murawski and Rojszczak. The volume presents entirely new biographical material on Tarski, both from his Polish period and on his influential career in the United States: at Harvard, in Princeton, at Hunter, and at the University of California at Berkeley. The high point of the analysis involves Tarski's influence on Carnap's evolution from a narrow syntactical view of language, to the ontologically more sophisticated but more controversial semantical view. Another highlight involves the interchange between Tarski and Gödel on the connection between truth and proof and on the nature of metalanguages. The concluding part of Yearbook 6 includes documentation, book reviews and a summary of current activities of the Institute Vienna Circle. Jan Tarski introduces letters written by his father to Gödel; Paolo Parrini reports on the Vienna Circle's influence in Italy; several reviews cover recent books on logical empiricism, on Gödel, on cosmology, on holistic approaches in Germany, and on Mauthner.

Logicism, Intuitionism, and Formalism

Author : Sten Lindström
Publisher : Springer Science & Business Media
Page : 509 pages
File Size : 10,73 MB
Release : 2008-11-25
Category : Mathematics
ISBN : 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.

Alfred Tarski

Author : Anita Burdman Feferman
Publisher : Cambridge University Press
Page : 442 pages
File Size : 38,35 MB
Release : 2004-10-04
Category : Mathematics
ISBN : 9780521802406

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