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First-Order Modal Logic

Dordrecht, Netherland: Kluwer Academic Publishers (1998)

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  1. Translations from the philosophical writings of Gottlob Frege.Gottlob Frege - 1952 - New York,: Philosophical Library. Edited by P. T. Geach & Max Black.
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  • Negative existentials.Richard L. Cartwright - 1960 - Journal of Philosophy 57 (20/21):629-639.
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  • Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
    This is identical with the first edition (see 21: 2716) except for the addition of a Supplement containing 5 previously published articles and the bringing of the bibliography (now 73 items) up to date. The 5 added articles present clarifications or modifications of views expressed in the first edition. (PsycINFO Database Record (c) 2009 APA, all rights reserved).
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  • A general interpreted modal calculus.Aldo Bressan - 1972 - New Haven,: Yale University Press.
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  • Speaker’s Reference and Semantic Reference.Saul Kripke - 1977 - Midwest Studies in Philosophy 2 (1):255-276.
    am going to discuss some issues inspired by a well-known paper ofKeith Donnellan, "Reference and Definite Descriptions,”2 but the interest—to me—of the contrast mentioned in my title goes beyond Donnellan's paper: I think it is of considerable constructive as well as critical importance to the philosophy oflanguage. These applications, however, and even everything I might want to say relative to Donnellan’s paper, cannot be discussed in full here because of problems of length. Moreover, although I have a considerable interest in (...)
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  • Semantical Analysis of Modal Logic II. Non-Normal Modal Propositional Calculi.Saul A. Kripke - 1965 - In J. W. Addison (ed.), The theory of models. Amsterdam,: North-Holland Pub. Co.. pp. 206-20.
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  • Immanuel Kant's Critique of pure reason.Immanuel Kant - 1929 - London: Macmillan. Edited by Norman Kemp Smith.
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  • A functional calculus of first order based on strict implication.Ruth Barcan Marcus - 1946 - [n. p.,: [N. P..
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  • Stoic logic.Benson Mates - 1953 - Berkeley,: University of California Press.
    This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1973.
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  • Formal Logic.Arthur N. Prior & Norman Prior - 1955 - Oxford,: Oxford University Press.
    This book was designed primarily as a textbook; though the author hopes that it will prove to be of interests to others beside logic students. Part I of this book covers the fundamentals of the subject the propositional calculus and the theory of quantification. Part II deals with the traditional formal logic and with the developments which have taken that as their starting-point. Part III deals with modal, three-valued, and extensional systems.
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  • Time and modality.Arthur N. Prior - 1955 - Westport, Conn.: Greenwood Press.
    The relationship between formal logic and general philosophy is discussed under headings such as A Re-examination of Our Tense-Logical Postulates, Modal Logic in the Style of Frege, and Intentional Logic and Indeterminism.
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  • An Introduction to Modal Logic.George Edward Hughes & M. J. Cresswell - 1968 - London, England: Methuen. Edited by M. J. Cresswell.
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  • Handbook of Tableau Methods.Marcello D'Agostino, Dov M. Gabbay, Reiner Hähnle & Joachim Posegga (eds.) - 1999 - Dordrecht, Netherland: Springer.
    Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications. A logic can be characterised in many different ways. Traditionally, a logic is presented via the following three components: 1. an intuitive non-formal motivation, perhaps tie it in to some application area 2. a semantical interpretation 3. a proof theoretical formulation. There are several types of proof theoretical methodologies, Hilbert style, Gentzen style, goal directed style, labelled deductive system style, and so on. The (...)
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  • A Treatise of Human Nature (1739-40).David Hume - 1969 - Mineola, N.Y.: Oxford University Press. Edited by Ernest Campbell Mossner.
    A key to modern studies of 18th century Western philosophy, the Treatise considers numerous classic philosophical issues, including causation, existence, freedom and necessity and morality. This abridged edition has an introduction which explain's Hume's thought and places it in the context of its times.
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  • The Development of Logic.William Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press. Edited by Martha Kneale.
    This book traces the development of formal logic from its origins inancient Greece to the present day. The authors first discuss the work oflogicians from Aristotle to Frege, showing how they were influenced by thephilosophical or mathematical ideas of their time. They then examinedevelopments in the present century.
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  • First-order logic.Raymond Merrill Smullyan - 1968 - New York [etc.]: Springer Verlag.
    This completely self-contained study, widely considered the best book in the field, is intended to serve both as an introduction to quantification theory and as ...
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  • Principia Mathematica.A. N. Whitehead & B. Russell - 1927 - Annalen der Philosophie Und Philosophischen Kritik 2 (1):73-75.
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  • Modality and reference.Richmond H. Thomason & Robert C. Stalnaker - 1968 - Noûs 2 (4):359-372.
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  • Abstraction in First-Order Modal Logic.Robert C. Stalnaker & Richmond H. Thomason - 1968 - Theoria 34 (3):203-207.
    The first amounts, roughly, to "It is necessarily the case that any President of the U.S. is a citizen of the U.S." But the second says, "the person who in fact is the President of the U.S, has the property of necessarily being a citizen of the U.S," Thus, while (2) is clearly true, it would be reasonable to consider (3) false.
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  • Systematically misleading expressions.G. Ryle - 1932 - Proceedings of the Aristotelian Society 32:139.
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  • The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
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  • On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
    By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...)
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  • Notes on existence and necessity.Willard V. Quine - 1943 - Journal of Philosophy 40 (5):113-127.
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  • Notes on Existence and Necessity.Willard V. Quine - 1956 - Journal of Symbolic Logic 21 (1):77-78.
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  • Nonexistent Objects.Terence Parsons - 1980 - Yale University Press.
    In this book Terence Parsons revives the older tradition of taking such objects at face value. Using various modern techniques from logic and the philosophy of language, he formulates a metaphysical theory of nonexistent objects. The theory is given a formalization in symbolism rich enough to contain definite descriptions, modal operators, and epistemic contexts, and the book includes a discussion which relates the formalized theory explicitly to English.
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  • Frege's Begriffsschrift Theory of Identity.Richard L. Mendelsohn - 1982 - Journal of the History of Philosophy 20 (3):279-299.
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  • Tableau methods of proof for modal logics.Melvin Fitting - 1972 - Notre Dame Journal of Formal Logic 13 (2):237-247.
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  • Modalities.Ruth Barcan Marcus - 1996 - Philosophy and Phenomenological Research 56 (4):978-979.
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  • Counterpart theory and quantified modal logic.David Lewis - 1968 - Journal of Philosophy 65 (5):113-126.
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  • A Survey of Symbolic Logic.C. I. Lewis - 1918 - Journal of Philosophy, Psychology and Scientific Methods 17 (3):78-79.
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  • Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
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  • A Treatise of Human Nature.David Hume & A. D. Lindsay - 1958 - Philosophical Quarterly 8 (33):379-380.
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  • Modality and Quantification.Jaakko Hintikka - 1961 - Theoria 27 (3):119-128.
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  • Proof Methods for Modal and Intuitionistic Logics.Melvin Fitting - 1985 - Journal of Symbolic Logic 50 (3):855-856.
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  • A Modal Logic Analog of Smullyan's Fundamental Theorem.Melvin Fitting - 1973 - Mathematical Logic Quarterly 19 (1):1-16.
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  • A Modal Logic Analog of Smullyan's Fundamental Theorem.Melvin Fitting - 1973 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 19 (1):1-16.
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  • A modal logic "epsilon"-calculus.Melvin Fitting - 1975 - Notre Dame Journal of Formal Logic 16:1.
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  • Modal logic should say more than it does.Melvin Fitting - unknown
    First-order modal logics, as traditionally formulated, are not expressive enough. It is this that is behind the difficulties in formulating a good analog of Herbrand’s Theorem, as well as the well-known problems with equality, non-rigid designators, definite descriptions, and nondesignating terms. We show how all these problems disappear when modal language is made more expressive in a simple, natural way. We present a semantic tableaux system for the enhanced logic, and (very) briefly discuss implementation issues.
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  • Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
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  • Set theory and the continuum problem.Raymond Smullyan - 1996 - Clarendon Press.
    A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.
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  • Begriffsschrift: Eine der arithmetischen nachgebildete Formelsprache des reinen Denkens.Gottlob Frege - 1879 - Halle a.d.S.: Louis Nebert.
    Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens / von Dr. Gottlob Frege,...Date de l'edition originale : 1879Ce livre est la reproduction fidele d'une oeuvre publiee avant 1920 et fait partie d'une collection de livres reimprimes a la demande editee par Hachette Livre, dans le cadre d'un partenariat avec la Bibliotheque nationale de France, offrant l'opportunite d'acceder a des ouvrages anciens et souvent rares issus des fonds patrimoniaux de la BnF.Les oeuvres faisant partie de cette collection ont ete numerisees (...)
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  • A Structuralist Theory of Logic.Arnold Koslow - 1992 - New York: Cambridge University Press.
    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general (...)
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  • A New Introduction to Modal Logic.M. J. Cresswell & G. E. Hughes - 1996 - New York: Routledge. Edited by M. J. Cresswell.
    This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: _An Introduction to Modal Logic_ and _A Companion to Modal Logic_. _A New Introduction to Modal Logic_ is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. The book takes (...)
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  • Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
    A textbook on modal logic, intended for readers already acquainted with the elements of formal logic, containing nearly 500 exercises. Brian F. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. Illustrative chapters focus on deontic logic and conditionality. Modality is a rapidly expanding branch of logic, and familiarity with the subject is now regarded as a necessary part of every philosopher's technical equipment. Chellas here offers an (...)
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  • Past, present, and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.
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  • First-Order Logic and Automated Theorem Proving.Melvin Fitting - 1998 - Studia Logica 61 (2):300-302.
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  • Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
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  • Semantical Considerations on Modal Logic.Saul Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
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  • Philosophical Explanations. [REVIEW]Robert Nozick - 1981 - Philosophy 58 (223):118-121.
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  • Symbolic Logic.C. I. Lewis & C. H. Langford - 1932 - Erkenntnis 4 (1):65-66.
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