Alfred Tarski and the "Concept of Truth in Formalized Languages" PDF Download
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Author: Monika Gruber
Publisher: Springer
ISBN: 3319326163
Category : Philosophy
Languages : en
Pages : 197
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Book Description
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: Monika Gruber
Publisher: Springer
ISBN: 3319326163
Category : Philosophy
Languages : en
Pages : 197
Get Book Here
Book Description
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: Alfred Tarski
Publisher: Hackett Publishing
ISBN: 9780915144761
Category : Philosophy
Languages : en
Pages : 542
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Book Description
Author: Leon Horsten
Publisher: MIT Press
ISBN: 0262297760
Category : Philosophy
Languages : en
Pages : 178
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Book Description
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: Jan Woleński
Publisher: Springer Nature
ISBN: 3030245365
Category : Philosophy
Languages : en
Pages : 392
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Book Description
The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
Author: John Gordon MacFarlane
Publisher:
ISBN: 0199682755
Category : Philosophy
Languages : en
Pages : 361
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Book Description
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
ISBN: 0486318893
Category : Mathematics
Languages : en
Pages : 271
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Book Description
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
ISBN: 9781575861944
Category : Mathematics
Languages : en
Pages : 174
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Book Description
The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.
Author: Volker Halbach
Publisher: Walter de Gruyter
ISBN: 3110332663
Category : Philosophy
Languages : en
Pages : 245
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Book Description
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: Anita Burdman Feferman
Publisher: Cambridge University Press
ISBN: 9780521802406
Category : Mathematics
Languages : en
Pages : 442
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Book Description
Publisher Description
Author: Anil Gupta
Publisher: MIT Press
ISBN: 9780262071444
Category : Mathematics
Languages : en
Pages : 334
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Book Description
In this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological contexts. The latter include, for instance, contexts that generate Liar Paradox. Their central claim is that truth is a circular concept. In support of this claim they provide a widely applicable theory (the "revision theory") of circular concepts. Under the revision theory, when truth is seen as circular both its ordinary features and its pathological features fall into a simple understandable pattern. The Revision Theory of Truth is unique in placing truth in the context of a general theory of definitions. This theory makes sense of arbitrary systems of mutually interdependent concepts, of which circular concepts, such as truth, are but a special case.
