[PDF] Alfred Tarski And The Concept Of Truth In Formalized Languages eBook

Author : Monika Gruber
Publisher : Springer
Page : 197 pages
File Size : 24,66 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.

Author : Douglas Patterson
Publisher : Springer
Page : 273 pages
File Size : 49,50 MB
Release : 2012-02-10
Category : Mathematics
ISBN : 0230367224

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This study looks to the work of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all of the major issues in Tarski scholarship in light of the conception of Intuitionistic Formalism developed: semantics, truth, paradox, logical consequence.

Author : Leon Horsten
Publisher : MIT Press
Page : 178 pages
File Size : 19,54 MB
Release : 2011-07-15
Category : Philosophy
ISBN : 0262297760

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A philosopher proposes a new deflationist view of truth, based on contemporary proof-theoretic approaches. In The Tarskian Turn, Leon Horsten investigates the relationship between formal theories of truth and contemporary philosophical approaches to truth. The work of mathematician and logician Alfred Tarski (1901–1983) marks the transition from substantial to deflationary views about truth. Deflationism—which holds that the notion of truth is light and insubstantial—can be and has been made more precise in multiple ways. Crucial in making the deflationary intuition precise is its relation to formal or logical aspects of the notion of truth. Allowing that semantical theories of truth may have heuristic value, in The Tarskian Turn Horsten focuses on axiomatic theories of truth developed since Tarski and their connection to deflationism. Arguing that the insubstantiality of truth has been misunderstood in the literature, Horsten proposes and defends a new kind of deflationism, inferential deflationism, according to which truth is a concept without a nature or essence. He argues that this way of viewing the concept of truth, inspired by a formalization of Kripke's theory of truth, flows naturally from the best formal theories of truth that are currently available. Alternating between logical and philosophical chapters, the book steadily progresses toward stronger theories of truth. Technicality cannot be altogether avoided in the subject under discussion, but Horsten attempts to strike a balance between the need for logical precision on the one hand and the need to make his argument accessible to philosophers.

Author : Anita Burdman Feferman
Publisher : Cambridge University Press
Page : 442 pages
File Size : 16,65 MB
Release : 2004-10-04
Category : Mathematics
ISBN : 9780521802406

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Author : John Gordon MacFarlane
Publisher :
Page : 361 pages
File Size : 30,31 MB
Release : 2014
Category : Philosophy
ISBN : 0199682755

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John MacFarlane debates how we might make sense of the idea that truth is relative, and how we might use this idea to give satisfying accounts of parts of our thought and talk that have resisted traditional methods of analysis. Although there is a substantial philosophical literature on relativism about truth, going back to Plato's Theaetetus, this literature (both pro and con) has tended to focus on refutations of the doctrine, or refutations of these refutations, at the expense of saying clearly what the doctrine is. In contrast, Assessment Sensitivity begins with a clear account of what it is to be a relativist about truth, and uses this view to give satisfying accounts of what we mean when we talk about what is tasty, what we know, what will happen, what might be the case, and what we ought to do. The book seeks to provide a richer framework for the description of linguistic practices than standard truth-conditional semantics affords: one that allows not just standard contextual sensitivity (sensitivity to features of the context in which an expression is used), but assessment sensitivity (sensitivity to features of the context from which a use of an expression is assessed). The Context and Content series is a forum for outstanding original research at the intersection of philosophy, linguistics, and cognitive science. The general editor is Francois Recanati (Institut Jean-Nicod, Paris).

Author : Alfred Tarski
Publisher : Courier Corporation
Page : 271 pages
File Size : 45,62 MB
Release : 2013-07-04
Category : Mathematics
ISBN : 0486318893

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This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.

Author : John Etchemendy
Publisher : Stanford Univ Center for the Study
Page : 174 pages
File Size : 10,76 MB
Release : 1999
Category : Mathematics
ISBN : 9781575861944

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

Author : Volker Halbach
Publisher : Walter de Gruyter
Page : 245 pages
File Size : 14,51 MB
Release : 2013-05-02
Category : Philosophy
ISBN : 3110332663

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On the one hand, the concept of truth is a major research subject in analytic philosophy. On the other hand, mathematical logicians have developed sophisticated logical theories of truth and the paradoxes. Recent developments in logical theories of the semantical paradoxes are highly relevant for philosophical research on the notion of truth. And conversely, philosophical guidance is necessary for the development of logical theories of truth and the paradoxes. From this perspective, this volume intends to reflect and promote deeper interaction and collaboration between philosophers and logicians investigating the concept of truth than has existed so far.Aside from an extended introductory overview of recent work in the theory of truth, the volume consists of articles by leading philosophers and logicians on subjects and debates that are situated on the interface between logical and philosophical theories of truth. The volume is intended for graduate students in philosophy and in logic who want an introduction to contemporary research in this area, as well as for professional philosophers and logicians

Author : Alfred Tarski
Publisher : Birkhäuser
Page : 0 pages
File Size : 14,68 MB
Release : 2019-01-01
Category : Mathematics
ISBN : 9783319953656

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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 papers and abstracts published during his lifetime, 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.