Results for 'Tarski boundary'

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  1.  34
    The two halves of disjunctive correctness.Cezary Cieśliński, Mateusz Łełyk & Bartosz Wcisło - 2023 - Journal of Mathematical Logic 23 (2).
    Ali Enayat had asked whether two halves of Disjunctive Correctness ([Formula: see text]) for the compositional truth predicate are conservative over Peano Arithmetic (PA). In this paper, we show that the principle “every true disjunction has a true disjunct” is equivalent to bounded induction for the compositional truth predicate and thus it is not conservative. On the other hand, the converse implication “any disjunction with a true disjunct is true” can be conservatively added to [Formula: see text]. The methods introduced (...)
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  2. Vagueness and Intuitionistic Logic.Ian Rumfitt - forthcoming - In Alexander Miller (ed.), Language, Logic,and Mathematics: Themes from the Philosophy of Crispin Wright. Oxford University Press.
    In his essay ‘“Wang’s Paradox”’, Crispin Wright proposes a solution to the Sorites Paradox (in particular, the form of it he calls the ‘Paradox of Sharp Boundaries’) that involves adopting intuitionistic logic when reasoning with vague predicates. He does not give a semantic theory which accounts for the validity of intuitionistic logic (and the invalidity of stronger logics) in that area. The present essay tentatively makes good the deficiency. By applying a theorem of Tarski, it shows that intuitionistic logic (...)
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  3. The Bounds of Logic: A Generalized Viewpoint.Gila Sher - 1991 - MIT Press.
    The Bounds of Logic presents a new philosophical theory of the scope and nature of logic based on critical analysis of the principles underlying modern Tarskian logic and inspired by mathematical and linguistic development. Extracting central philosophical ideas from Tarski’s early work in semantics, Sher questions whether these are fully realized by the standard first-order system. The answer lays the foundation for a new, broader conception of logic. By generally characterizing logical terms, Sher establishes a fundamental result in semantics. (...)
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  4. The Variety of Invariance in Formal and Regional Ontologies.Elena Dragalina-Chernaya - 2024 - HORIZON. Studies in Phenomenology 13 (1):15-32.
    The paper examines the invariance principles proposed by the analytical and phenomenological traditions for demarcating the boundaries of formal and regional ontologies. The principle of invariance with respect to isomorphic transformations, generalizing Alfred Tarski’s criterion for logical concepts, is extended to formal ontology as the theory of manifolds in its phenomenological interpretation. Isomorphism types, which are abstract individuals of the highest order, hypostases of forms of all possible ontologies, are considered as model-theoretical analogs of manifolds. The correlativity of the (...)
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  5.  50
    A conjunction in closure spaces.Andrzej W. Jankowski - 1984 - Studia Logica 43 (4):341 - 351.
    This paper is closely related to investigations of abstract properties of basic logical notions expressible in terms of closure spaces as they were begun by A. Tarski (see [6]). We shall prove many properties of -conjunctive closure spaces (X is -conjunctive provided that for every two elements of X their conjunction in X exists). For example we prove the following theorems:1. For every closed and proper subset of an -conjunctive closure space its interior is empty (i.e. it is a (...)
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  6.  21
    Marginal Notes on the Theory of Reference.Gary H. Merrill - 1979 - Grazer Philosophische Studien 9 (1):35-50.
    In 'Notes on the Theory of Reference' Quine offers a brief argument, based on Tarski's Convention T and semantic definition of truth, that the theory of meaning is 'in a worse state' than is the theory of reference and that the concepts of the theory of meaning are inherently more 'foggy and mysterious' than those of thetheory of reference. A careful reconstruction of Quine's argument, however, is sufficient to show both that he covertly imposes a double standard of clarity (...)
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  7.  28
    Marginal Notes on the Theory of Reference.Gary H. Merrill - 1979 - Grazer Philosophische Studien 9 (1):35-50.
    In 'Notes on the Theory of Reference' Quine offers a brief argument, based on Tarski's Convention T and semantic definition of truth, that the theory of meaning is 'in a worse state' than is the theory of reference and that the concepts of the theory of meaning are inherently more 'foggy and mysterious' than those of thetheory of reference. A careful reconstruction of Quine's argument, however, is sufficient to show both that he covertly imposes a double standard of clarity (...)
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  8. Tarski's system of geometry.Alfred Tarski & Steven Givant - 1999 - Bulletin of Symbolic Logic 5 (2):175-214.
    This paper is an edited form of a letter written by the two authors (in the name of Tarski) to Wolfram Schwabhäuser around 1978. It contains extended remarks about Tarski's system of foundations for Euclidean geometry, in particular its distinctive features, its historical evolution, the history of specific axioms, the questions of independence of axioms and primitive notions, and versions of the system suitable for the development of 1-dimensional geometry.
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  9. Logic, semantics, metamathematics.Alfred Tarski - 1956 - Oxford,: Clarendon Press. Edited by John Corcoran & J. H. Woodger.
    I ON THE PRIMITIVE TERM OF LOGISTICf IN this article I propose to establish a theorem belonging to logistic concerning some connexions, not widely known, ...
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  10. Address at the Princeton University Bicentennial Conference on Problems of Mathematics (December 17–19, 1946), By Alfred Tarski.Alfred Tarski & Hourya Sinaceur - 2000 - Bulletin of Symbolic Logic 6 (1):1-44.
    This article presents Tarski's Address at the Princeton Bicentennial Conference on Problems of Mathematics, together with a separate summary. Two accounts of the discussion which followed are also included. The central topic of the Address and of the discussion is decision problems. The introductory note gives information about the Conference, about the background of the subjects discussed in the Address, and about subsequent developments to these subjects.
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  11. What are logical notions?Alfred Tarski - 1986 - History and Philosophy of Logic 7 (2):143-154.
    In this manuscript, published here for the first time, Tarski explores the concept of logical notion. He draws on Klein's Erlanger Programm to locate the logical notions of ordinary geometry as those invariant under all transformations of space. Generalizing, he explicates the concept of logical notion of an arbitrary discipline.
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  12. Remarks of Alfred Tarski.Alfred Tarski - forthcoming - Revue Internationale de Philosophie.
     
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  13. The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
  14.  82
    Undecidable theories.Alfred Tarski - 1968 - Amsterdam,: North-Holland Pub. Co.. Edited by Andrzej Mostowski & Raphael M. Robinson.
    This book is well known for its proof that many mathematical systems - including lattice theory and closure algebras - are undecidable. It consists of three treatises from one of the greatest logicians of all time: "A General Method in Proofs of Undecidability," "Undecidability and Essential Undecidability in Mathematics," and "Undecidability of the Elementary Theory of Groups.".
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  15. On the Concept of Following Logically.Alfred Tarski - 2002 - History and Philosophy of Logic 23 (3):155-196.
    We provide for the first time an exact translation into English of the Polish version of Alfred Tarski's classic 1936 paper, whose title we translate as ?On the Concept of Following Logically?. We also provide in footnotes an exact translation of all respects in which the German version, used as the basis of the previously published and rather inexact English translation, differs from the Polish. Although the two versions are basically identical, to an extent that is even uncanny, we (...)
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  16.  59
    The Semantic Conception of Truth and the Foundations of Semantics.Alfred Tarski - 1944 - Journal of Symbolic Logic 9 (3):68-68.
  17. The concept of truth in formalized languages.Alfred Tarski - 1956 - In Logic, semantics, metamathematics. Oxford,: Clarendon Press. pp. 152--278.
  18.  21
    Logic, Semantics, Metamathematics: Papers from 1923 to 1938.Alfred Tarski & J. H. Woodger (eds.) - 1983 - New York, NY, USA: Hackett Publishing Company.
    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.
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  19. Der wahrheitsbegriff in den formalisierten sprachen.Alfred Tarski - 1935 - Studia Philosophica 1:261--405.
  20.  7
    Alfred Tarski: Drei Briefe an Otto Neurath.Rudolf Haller & Jan Tarski - 1992 - Grazer Philosophische Studien 43 (1):1-32.
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  21.  8
    Proceedings of the Tarski Symposium: An International Symposium Held to Honor Alfred Tarski on the Occasion of His Seventieth Birthday.Leon Henkin, Alfred Tarski & Association for Symbolic Logic - 1979 - Amer Mathematical Society.
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  22. Dialogue and un1versalism no. 1-2/1996 truth after Tarski.Truth After Tarski - 1996 - Dialogue and Universalism 6 (1-6):25.
     
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  23. Philosophy in the Creativity of Alfred Tarski'.Jan Tarski - 1996 - Dialogue and Universalism 6 (1-6):157.
     
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  24. Sobre Alguns Conceitos Fundamentais da Metamatemática (Tarski, Alfred).Alfred Tarski, Patrícia Del Nero Velasco & Edelcio Gonçalves de Souza - 2001 - Princípios 8 (10):187-209.
     
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  25.  14
    On the Concept of Following Logically.Alfred Tarski - 2002 - History and Philosophy of Logic 23 (3):155-196.
    We provide for the first time an exact translation into English of the Polish version of Alfred Tarski's classic 1936 paper, whose title we translate as ‘On the Concept of Following Logically’. We also provide in footnotes an exact translation of all respects in which the German version, used as the basis of the previously published and rather inexact English translation, differs from the Polish. Although the two versions are basically identical, to an extent that is even uncanny, we (...)
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  26. Undecidable Theories.Alfred Tarski, Andrzej Mostowski & Raphael M. Robinson - 1953 - Philosophy 30 (114):278-279.
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  27. Introduction to logic and to the methodology of deductive sciences.Alfred Tarski - 1946 - New York: Dover Publications. Edited by Jan Tarski.
    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.
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  28.  61
    A Decision Method for Elementary Algebra and Geometry.Alfred Tarski - 1949 - Journal of Symbolic Logic 14 (3):188-188.
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  29. The establishment of scientific semantics.Alfred Tarski - 2006 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 13 (2):181-188.
  30.  12
    A simplified formalization of predicate logic with identity.Alfred Tarski - 1964 - Archive for Mathematical Logic 7 (1-2):61-79.
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  31.  30
    Der Aussagenkalkul und die Topologie.Alfred Tarski - 1939 - Journal of Symbolic Logic 4 (1):26-27.
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  32. Introduction to logic and to the methodology of the deductive sciences.Alfred Tarski - 1949 - New York: Oxford University Press. Edited by Jan Tarski.
    Now in its fourth edition, this classic work clearly and concisely introduces the subject of logic and its applications. The first part of the book explains the basic concepts and principles which make up the elements of logic. The author demonstrates that these ideas are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning. The second part of the book shows the applications of logic in mathematical theory building with concrete examples that draw (...)
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  33.  31
    Equational Logic and Equational Theories of Algebras.A. Tarski, H. Arnold Schmidt & K. Schutte - 1971 - Journal of Symbolic Logic 36 (1):161-162.
  34. Logic, Semantics, Metamathematics: Papers from 1923 to 1938.Alfred Tarski & John Corcoran (eds.) - 1983 - New York, NY, USA: Hackett Publishing Company.
    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.
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  35. On the calculus of relations.Alfred Tarski - 1941 - Journal of Symbolic Logic 6 (3):73-89.
    The logical theory which is called thecalculus of (binary) relations, and which will constitute the subject of this paper, has had a strange and rather capricious line of historical development. Although some scattered remarks regarding the concept of relations are to be found already in the writings of medieval logicians, it is only within the last hundred years that this topic has become the subject of systematic investigation. The first beginnings of the contemporary theory of relations are to be found (...)
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  36. The Semantic Conception of Truth.Alfred Tarski - 2005-01-01 - In José Medina & David Wood (eds.), Truth. Blackwell.
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  37.  19
    Interplay of Philosophy and Mathematics in the Classical Theory of Truth.Jan Tarski - 1999 - Vienna Circle Institute Yearbook 6:95-108.
    Alfred Tarski’s theory of truth, to which we will also refer as the classical theory,1 has a conspicuous place in mathematics as well as in general philosophy. The place in philosophy appears the more prominent of the two, although it is still somewhat unsettled, and perhaps even controversial.
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  38. Über den Begriff der Logischen Folgerung.Alfred Tarski - 1937 - Journal of Symbolic Logic 2 (2):83-84.
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  39.  36
    A Decision Method for Elementary Algebra and Geometry.Alfred Tarski - 1952 - Journal of Symbolic Logic 17 (3):207-207.
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  40. The fundamental ideas of pansomatism.Alfred Tarski, David Rynin & Tadeusz Kotarbiński - 1955 - Mind 64 (256):488 - 500.
  41. Sur la décomposition des ensembles de points en parties respectivement congruentes.Stefan Banach & Alfred Tarski - 1924 - Fundamenta Mathematicae 6:244-277.
    Sur la décomposition des ensembles de points en parties respectivement congruentes.
     
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  42.  17
    Address at the Princeton University Bicentennial Conference on Problems of Mathematics (December 17–19, 1946), By Alfred Tarski[REVIEW]Alfred Tarski & Hourya Sinaceur - 2000 - Bulletin of Symbolic Logic 6 (1):1-44.
    This article presents Tarski's Address at the Princeton Bicentennial Conference on Problems of Mathematics, together with a separate summary. Two accounts of the discussion which followed are also included. The central topic of the Address and of the discussion is decision problems. The introductory note gives information about the Conference, about the background of the subjects discussed in the Address, and about subsequent developments to these subjects.
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  43. sciences, edited by Jan Tarski, Oxford University Press, New York-Oxford, 1994, XXII+ 229 p. Depuis sa parution en 1936, ce livre pionnier, originellement écrit en polonais, aura joué un rôle inestimable dans la promotion et la propagation. [REVIEW]Alfred Tarski - 1997 - Revue Internationale de Philosophie 200:275.
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  44. Introduction to Logic and to the Methodology of the Deductive Sciences.Alfred Tarski - 1967 - British Journal for the Philosophy of Science 17 (4):347-347.
     
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  45.  43
    Some Current Problems in Metamathematics 1.Alfred Tarski, Jan Tarski & Jan Woleński - 1995 - History and Philosophy of Logic 16 (2):159-168.
    In this article the author first described the developments which brought to focus the importance of consistency proofs for mathematics, and which led Hilbert to promote the science of metamathemat-ics. Further comments and remarks concern the (partly analogous) beginnings of the work on the decision problem, Gödel?s theorems and related matters, and general metamathematics. An appendix summarizes a text by the author on completeness and categoricity.
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  46.  24
    Einige methodologifche Unterfuchungen über die Definierbarkeit der Begriffe.Alfred Tarski - 1935 - Erkenntnis 5 (1):80-100.
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  47.  69
    On undecidable statements in enlarged systems of logic and the concept of truth.Alfred Tarski - 1939 - Journal of Symbolic Logic 4 (3):105-112.
  48.  27
    Boolean Algebras with Operators.Alfred Tarski - 1953 - Journal of Symbolic Logic 18 (1):70-71.
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  49. Introduction to Logic and to the Methodology of Deductive Sciences.Alfred Tarski & Olaf Helmer - 1944 - Philosophy 19 (72):90-91.
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  50. Undecidable Theories.Alfred Tarski - 1959 - British Journal for the Philosophy of Science 9 (36):321-327.
     
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