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Logical pluralism

Australasian Journal of Philosophy 78 (4):475 – 493 (2000)

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  1. On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
    This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.
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  • Naming and Necessity: Lectures Given to the Princeton University Philosophy Colloquium.Saul A. Kripke - 1980 - Cambridge, MA: Harvard University Press. Edited by Darragh Byrne & Max Kölbel.
    A transcript of three lectures, given at Princeton University in 1970, which deals with (inter alia) debates concerning proper names in the philosophy of language.
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  • (4 other versions)Naming and necessity.Saul Kripke - 2010 - In Darragh Byrne & Max Kölbel, Arguing about language. New York: Routledge. pp. 431-433.
    _Naming and Necessity_ has had a great and increasing influence. It redirected philosophical attention to neglected questions of natural and metaphysical necessity and to the connections between these and theories of naming, and of identity. This seminal work, to which today's thriving essentialist metaphysics largely owes its impetus, is here reissued in a newly corrected form with a new preface by the author. If there is such a thing as essential reading in metaphysics, or in philosophy of language, this is (...)
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  • (1 other version)In contradiction: a study of the transconsistent.Graham Priest - 2006 - New York: Oxford University Press.
    In Contradiction advocates and defends the view that there are true contradictions, a view that flies in the face of orthodoxy in Western philosophy since Aristotle. The book has been at the center of the controversies surrounding dialetheism ever since its first publication in 1987. This second edition of the book substantially expands upon the original in various ways, and also contains the author’s reflections on developments over the last two decades. Further aspects of dialetheism are discussed in the companion (...)
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  • Remarks on the Foundations of Mathematics.Ludwig Wittgenstein - 1956 - Oxford: Macmillan. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
    Wittgenstein's work remains, undeniably, now, that off one of those few philosophers who will be read by all future generations.
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  • Inquiry.Robert Stalnaker - 1984 - Cambridge University Press.
    The abstract structure of inquiry - the process of acquiring and changing beliefs about the world - is the focus of this book which takes the position that the "pragmatic" rather than the "linguistic" approach better solves the philosophical problems about the nature of mental representation, and better accounts for the phenomena of thought and speech. It discusses propositions and propositional attitudes (the cluster of activities that constitute inquiry) in general and takes up the way beliefs change in response to (...)
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  • An Introduction to Substructural Logics.Greg Restall - 1999 - New York: Routledge.
    This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. _An Introduction to Substrucural Logics_ is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both (...)
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  • The concept of logical consequence.John Etchemendy - 1990 - Cambridge: Harvard University Press.
    Of course we all know now that mathematics has proved that logic doesn't really make sense, but Etchemendy (philosophy, Stanford Univ.) goes further and challenges the received view of the conceptual underpinnings of modern logic by arguing that Tarski's model-theoretic analysis of logical consequences is wrong. He may have found the soft underbelly of the dead horse. Annotation copyrighted by Book News, Inc., Portland, OR.
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  • Elements of Intuitionism.Michael Dummett - 1977 - New York: Oxford University Press. Edited by Roberto Minio.
    This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics, for example Brouwer's proof of the Bar Theorem, valuation systems, and the completeness of intuitionistic first-order logic, have been completely revised.
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  • The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
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  • (3 other versions)Truth-Makers.Kevin Mulligan, Peter Simons & Barry Smith - 1984 - Philosophy and Phenomenological Research 44 (3):287-321.
    A realist theory of truth for a class of sentences holds that there are entities in virtue of which these sentences are true or false. We call such entities ‘truthmakers’ and contend that those for a wide range of sentences about the real world are moments (dependent particulars). Since moments are unfamiliar, we provide a definition and a brief philosophical history, anchoring them in our ontology by showing that they are objects of perception. The core of our theory is the (...)
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  • (1 other version)Situations and Attitudes.Jon Barwise - 1981 - Journal of Philosophy 78 (11):668.
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  • (1 other version)Nominalist platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
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  • Intuitive semantics for first-degree entailments and 'coupled trees'.J. Michael Dunn - 1976 - Philosophical Studies 29 (3):149-168.
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  • The Possible and the actual: readings in the metaphysics of modality.Michael J. Loux (ed.) - 1979 - Ithaca, N.Y.: Cornell University Press.
    Preface In these days, an anthology on the topic of possible worlds hardly needs justification. No issue has given rise to as much literature in the past ...
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  • Informal Rigour and Completeness Proofs.Georg Kreisel - 1967 - In Imre Lakatos, Problems in the philosophy of mathematics. Amsterdam,: North-Holland Pub. Co.. pp. 138--157.
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  • Truthmakers, entailment and necessity.Greg Restall - 1996 - Australasian Journal of Philosophy 74 (2):331 – 340.
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  • (1 other version)Constructible falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.
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  • Logical Consequence.J. C. Beall, Greg Restall & Gil Sagi - 2019 - Stanford Encyclopedia of Philosophy.
    A good argument is one whose conclusions follow from its premises; its conclusions are consequences of its premises. But in what sense do conclusions follow from premises? What is it for a conclusion to be a consequence of premises? Those questions, in many respects, are at the heart of logic (as a philosophical discipline). Consider the following argument: 1. If we charge high fees for university, only the rich will enroll. We charge high fees for university. Therefore, only the rich (...)
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  • Truthmaker.John F. Fox - 1987 - Australasian Journal of Philosophy 65 (2):188 – 207.
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  • Tarski on truth and logical consequence.John Etchemendy - 1988 - Journal of Symbolic Logic 53 (1):51-79.
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  • The semantics of first degree entailment.Richard Routley & Valerie Routley - 1972 - Noûs 6 (4):335-359.
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  • Island Universes and the Analysis of Modality.Phillip Bricker - 2001 - In Gerhard Preyer & Frank Siebelt, Reality and Humean Supervenience: Essays on the Philosophy of David Lewis. Rowman & Littlefield Publishers.
    It follows from Humean principles of plenitude, I argue, that island universes are possible: physical reality might have 'absolutely isolated' parts. This makes trouble for Lewis's modal realism; but the realist has a way out. First, accept absolute actuality, which is defensible, I argue, on independent grounds. Second, revise the standard analysis of modality: modal operators are 'plural', not 'individual', quantifiers over possible worlds. This solves the problem of island universes and confers three additional benefits: an 'unqualified' principle of compossibility (...)
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  • In Contradiction, A Study of the Transconsistent.Joel M. Smith - 1991 - Noûs 25 (3):380-383.
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  • Constructive Analysis.Errett Bishop & Douglas Bridges - 1987 - Journal of Symbolic Logic 52 (4):1047-1048.
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  • Negation in Relevant Logics (How I Stopped Worrying and Learned to Love the Routley star).Greg Restall - 1999 - In Dov M. Gabbay & Heinrich Wansing, What Is Negation? Springer. pp. 53-76.
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  • Formal and material consequence.Stephen Read - 1994 - Journal of Philosophical Logic 23 (3):247 - 265.
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  • Twenty-five basic theorems in situation and world theory.Edward N. Zalta - 1993 - Journal of Philosophical Logic 22 (4):385-428.
    The foregoing set of theorems forms an effective foundation for the theory of situations and worlds. All twenty-five theorems seem to be basic, reasonable principles that structure the domains of properties, relations, states of affairs, situations, and worlds in true and philosophically interesting ways. They resolve 15 of the 19 choice points defined in Barwise (1989) (see Notes 22, 27, 31, 32, 35, 36, 39, 43, and 45). Moreover, important axioms and principles stipulated by situation theorists are derived (see Notes (...)
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  • On truthmakers for negative truths.J. C. Beall - 2000 - Australasian Journal of Philosophy 78 (2):264 – 268.
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  • Shifting situations and shaken attitudes.Jon Barwise & John Perry - 1985 - Linguistics and Philosophy 8 (1):105--161.
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  • Truth and proof: The platonism of mathematics.W. W. Tait - 1986 - Synthese 69 (3):341 - 370.
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  • Negation, denial and language change in philosophical logic.Jamie Tappenden - unknown
    This paper uses the strengthened liar paradox as a springboard to illuminate two more general topics: i) the negation operator and the speech act of denial among speakers of English and ii) some ways the potential for acceptable language change is constrained by linguistic meaning. The general and special problems interact in reciprocally illuminating ways. The ultimate objective of the paper is, however, less to solve certain problems than to create others, by illustrating how the issues that form the topic (...)
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  • XIII*—Two Problems with Tarski's Theory of Consequence.Vann McGee - 1992 - Proceedings of the Aristotelian Society 92 (1):273-292.
    Vann McGee; XIII*—Two Problems with Tarski's Theory of Consequence, Proceedings of the Aristotelian Society, Volume 92, Issue 1, 1 June 1992, Pages 273–292, htt.
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  • Solution to the P − W problem.E. P. Martin & R. K. Meyer - 1982 - Journal of Symbolic Logic 47 (4):869-887.
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  • E, r, and γ.Robert K. Meyer & J. Michael Dunn - 1969 - Journal of Symbolic Logic 34 (3):460-474.
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  • Defending logical pluralism.J. C. Beall & Greg Restall - 2001 - In John Woods Bryson Brown, Logical Consequence: Rival Approaches. Hermes Science Publishing. pp. 1-22.
    We are pluralists about logical consequence [1]. We hold that there is more than one sense in which arguments may be deductively valid, that these senses are equally good, and equally deserving of the name deductive validity. Our pluralism starts with our analysis of consequence. This analysis of consequence is not idiosyncratic. We agree with Richard Jeffrey, and with many other philosophers of logic about how logical consequence is to be defined. To quote Jeffrey.
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  • Logic on the australian plan.Robert K. Meyer & Errol P. Martin - 1986 - Journal of Philosophical Logic 15 (3):305 - 332.
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  • Against intuitionism: Constructive mathematics is part of classical mathematics.William W. Tait - 1983 - Journal of Philosophical Logic 12 (2):173 - 195.
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  • The grounds for the model-theoretic account of the logical properties.Manuel García-Carpintero Sánchez-Miguel - 1992 - Notre Dame Journal of Formal Logic 34 (1):107-131.
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  • Ought there to be but One Logic.Michael Resnik - 1996 - In Brian Jack Copeland, Logic and reality: essays on the legacy of Arthur Prior. New York: Oxford University Press. pp. 489--517.
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  • What Is Wrong with Disjunctive Syllogism?Stephen Read - 1980 - Analysis 41 (2):66 - 70.
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  • Entailment.Jonathan Bennett - 1969 - Philosophical Review 78 (2):197-236.
    Following Moore, I use ‘P entails Q’ as a convenient shorthand for ‘Q can be deduced logically from P’, ‘From P, Q follows logically’, ‘There is a logically valid argument with P as sole premise and Q as conclusion’, and the like.1 Apart from a minor point to be raised in Section XVI, distinctions within this cluster do not matter for present purposes. An analysis of the concept of entailment is answerable to careful, educated uses of expressions such as those. (...)
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  • Paraconsistent logics!Greg Restall - 1997 - Bulletin of the Section of Logic 26 (3):156-163.
    In this note I respond to Hartley Slater's argument 12 to the e ect that there is no such thing as paraconsistent logic. Slater's argument trades on the notion of contradictoriness in the attempt to show that the negation of paraconsistent logics is merely a subcontrary forming operator and not one which forms contradictories. I will show that Slater's argument fails, for two distinct reasons. Firstly, the argument does not consider the position of non-dialethic paraconsistency which rejects the possible truth (...)
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  • Two Concepts of Entailment.Mark Lance - 1995 - Journal of Philosophical Research 20:113-137.
    What is the logic of entailment? The latter half of the twentieth century has seen, for even the simplest languages, a proliferation of distinct formal entailment systems, each having those willing to defend its status as the answer. Among those defenders, and among the most adamant and mutually critical, are the champions of strict implication and relevance logic. To an outsider, this debate must seem singularly odd. Here we have a group of philosophers who cannot agree on the validity of (...)
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  • Relevantism, Material Detachment, and the Disjunctive Syllogism Argument.R. Routley - 1984 - Canadian Journal of Philosophy 14 (2):167 - 188.
    Relevantism, as a matter of definition, rejects classical logic as incorrect and adopts instead a relevant logic as encapsulating correct inference. It rejects classical logic on the grounds that the rule of Material Detachment, from A and not A or B to infer B,, sometimes leads from truth to falsity. Relevantism — although promoted by some relevant logicians, and an integral part of ultralogic — has recently encountered heavy, but interesting, criticism from relevance logicians themselves.
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  • Errett Bishop. Foundations of constructive analysis. McGraw-Hill Book Company, New York, San Francisco, St. Louis, Toronto, London, and Sydney, 1967, xiii + 370 pp. - Errett Bishop. Mathematics as a numerical language. Intuitionism and proof theory, Proceedings of the summer conference at Buffalo N.Y. 1968, edited by A. Kino, J. Myhill, and R. E. Vesley, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam and London1970, pp. 53–71. [REVIEW]John Myhill - 1972 - Journal of Symbolic Logic 37 (4):744-747.
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  • The Logical Syntax of Language. [REVIEW]E. N. - 1937 - Journal of Philosophy 34 (11):303.
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  • On Establishing the Converse.Robert K. Meyer & Errol P. Martin - 1992 - Logique Et Analyse 139:207-222.
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