Results for 'Curry-Howard'

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  1. The formulæ-as-types notion of construction.W. A. Howard - 1995 - In Philippe De Groote (ed.), The Curry-Howard isomorphism. Louvain-la-Neuve: Academia.
     
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  2. Basic theory of functionality. Analogies with propositional algebra.H. B. Curry & R. Feys - 1995 - In Philippe De Groote (ed.), The Curry-Howard isomorphism. Louvain-la-Neuve: Academia.
     
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  3.  14
    Film and the Emotions.Peter A. French & Howard K. Wettstein (eds.) - 2010 - Wiley-Blackwell.
    Film and the Emotions explores the complicated relationship between filmed entertainment, such as movies and television shows, and our capacity to feel emotions. This volume of The Midwest Studies in Philosophy covers topics such as the role of imagination in our capacity to respond emotionally to films, how emotions felt in response to films relate to emotions felt about real events, and the moral implications of responding emotionally to fictions, among others. This collection includes nineteen original articles from experts on (...)
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  4. The Significance of the Curry-Howard Isomorphism.Richard Zach - 2019 - In Gabriele Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. Berlin, Boston: De Gruyter. pp. 313-326.
    The Curry-Howard isomorphism is a proof-theoretic result that establishes a connection between derivations in natural deduction and terms in typed lambda calculus. It is an important proof-theoretic result, but also underlies the development of type systems for programming languages. This fact suggests a potential importance of the result for a philosophy of code.
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  5.  19
    The Curry-Howard isomorphism.Philippe De Groote (ed.) - 1995 - Louvain-la-Neuve: Academia.
  6.  37
    Extended CurryHoward terms for second‐order logic.Pimpen Vejjajiva - 2013 - Mathematical Logic Quarterly 59 (4-5):274-285.
    In order to allow the use of axioms in a second‐order system of extracting programs from proofs, we define constant terms, a form of CurryHoward terms, whose types are intended to correspond to those axioms. We also define new reduction rules for these new terms so that all consequences of the axioms can be represented. We finally show that the extended CurryHoward terms are strongly normalizable.
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  7.  64
    Lectures on the Curry-Howard isomorphism.Morten Heine Sørensen - 2007 - Boston: Elsevier. Edited by Paweł Urzyczyn.
    The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc. The isomorphism has many aspects, even at the syntactic level: formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization (...)
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  8.  61
    Curry-Howard terms for linear logic.Frank A. Bäuerle, David Albrecht, John N. Crossley & John S. Jeavons - 1998 - Studia Logica 61 (2):223-235.
    In this paper we 1. provide a natural deduction system for full first-order linear logic, 2. introduce Curry-Howard-style terms for this version of linear logic, 3. extend the notion of substitution of Curry-Howard terms for term variables, 4. define the reduction rules for the Curry-Howard terms and 5. outline a proof of the strong normalization for the full system of linear logic using a development of Girard's candidates for reducibility, thereby providing an alternative to (...)
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  9.  18
    CurryHoward–Lambek Correspondence for Intuitionistic Belief.Cosimo Perini Brogi - 2021 - Studia Logica 109 (6):1441-1461.
    This paper introduces a natural deduction calculus for intuitionistic logic of belief \ which is easily turned into a modal \-calculus giving a computational semantics for deductions in \. By using that interpretation, it is also proved that \ has good proof-theoretic properties. The correspondence between deductions and typed terms is then extended to a categorical semantics for identity of proofs in \ showing the general structure of such a modality for belief in an intuitionistic framework.
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  10.  60
    Extending the Curry-Howard interpretation to linear, relevant and other resource logics.Dov M. Gabbay & Ruy J. G. B. de Queiroz - 1992 - Journal of Symbolic Logic 57 (4):1319-1365.
  11.  15
    Extending the Curry-Howard Interpretation to Linear, Relevant and Other Resource Logics.Dov M. Gabbay & Ruy J. G. B. De Queiroz - 1992 - Journal of Symbolic Logic 57 (4):1319 - 1365.
  12.  55
    The placeholder view of assumptions and the CurryHoward correspondence.Ivo Pezlar - 2020 - Synthese (11):1-17.
    Proofs from assumptions are amongst the most fundamental reasoning techniques. Yet the precise nature of assumptions is still an open topic. One of the most prominent conceptions is the placeholder view of assumptions generally associated with natural deduction for intuitionistic propositional logic. It views assumptions essentially as holes in proofs, either to be filled with closed proofs of the corresponding propositions via substitution or withdrawn as a side effect of some rule, thus in effect making them an auxiliary notion subservient (...)
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  13. Extending the Curry {Howard {Tait interpretation to linear, relevant and other logics.D. M. Gabbay & Rjgb de Queiroz - 1992 - Journal of Symbolic Logic 56:1129-40.
  14.  38
    Variable-free formalization of the Curry-Howard theory.William Tait - manuscript
    The reduction of the lambda calculus to the theory of combinators in [Sch¨ onfinkel, 1924] applies to positive implicational logic, i.e. to the typed lambda calculus, where the types are built up from atomic types by means of the operation A −→ B, to show that the lambda operator can be eliminated in favor of combinators K and S of each type A −→ (B −→ A) and (A −→ (B −→ C)) −→ ((A −→ B) −→ (A −→ C)), (...)
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  15.  46
    Derivation and computation: taking the Curry-Howard correspondence seriously.Harold Simmons - 2000 - New York: Cambridge University Press.
    Mathematics is about proofs, that is the derivation of correct statements; and calculations, that is the production of results according to well-defined sets of rules. The two notions are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. The aim of the author is to explore this relationship. The book itself forms an introduction to simple type theory. Starting from the familiar propositional calculus the author develops the central idea of an applied lambda-calculus. (...)
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  16.  10
    How far to extend the Curry-Howard isomorphism?Enrico Monconi - 2001 - In V. Fano, M. Stanzione & G. Tarozzi (eds.), Prospettive Della Logica E Della Filosofia Della Scienza. Rubettino. pp. 57.
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  17.  9
    Derivation and Computation. Taking the Curry-Howard Correspondence Seriously.Norman Danner - 2001 - Bulletin of Symbolic Logic 7 (3):380-383.
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  18.  26
    Simmons Harold. Derivation and computation. Taking the Curry-Howard correspondence seriously. Cambridge tracts in theoretical computer science, vol. 51. Cambridge University Press, Cambridge, New York, etc., 2000, xxv + 384 pp. [REVIEW]Norman Danner - 2001 - Bulletin of Symbolic Logic 7 (3):380-383.
  19.  94
    An ontology of art.Gregory Currie - 1989 - New York: St. Martin's Press.
  20. The Nature of Fiction.Gregory Currie - 1990 - Cambridge University Press.
    This important book provides a theory about the nature of fiction, and about the relation between the author, the reader and the fictional text. The approach is philosophical: that is to say, the author offers an account of key concepts such as fictional truth, fictional characters, and fiction itself. The book argues that the concept of fiction can be explained partly in terms of communicative intentions, partly in terms of a condition which excludes relations of counterfactual dependence between the world (...)
  21. Aesthetics and cognitive science.Gregory Currie - 2003 - In Jerrold Levinson (ed.), The Oxford handbook of aesthetics. New York: Oxford University Press. pp. 706--721.
  22.  57
    Frege, an introduction to his philosophy.Gregory Currie - 1982 - Totowa, NJ: Barnes & Noble.
    Studie over het werk van de Duitse wijsgeer Friedrich Ludwig Gottlob Frege (1848-1925).
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  23. Interpretation in art.Gregory Currie - 2003 - In Jerrold Levinson (ed.), The Oxford handbook of aesthetics. New York: Oxford University Press. pp. 291--306.
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  24. Infallibilism and Gettier's legacy. Daniel, Frances Howard-Snyder & Neil Feit - 2003 - Philosophy and Phenomenological Research 66 (2):304-327.
    Infallibilism is the view that a belief cannot be at once warranted and false. In this essay we assess three nonpartisan arguments for infallibilism, arguments that do not depend on a prior commitment to some substantive theory of warrant. Three premises, one from each argument, are most significant: if a belief can be at once warranted and false, then the Gettier Problem cannot be solved; if a belief can be at once warranted and false, then its warrant can be transferred (...)
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  25.  99
    Logic and contemporary rhetoric: the use of reason in everyday life.Howard Kahane - 2001 - Belmont, CA: Wadsworth Thomson Learning. Edited by Nancy Cavender.
    [This book offers] compilation of examples from TV, newspapers, magazines, advertisements, and our nation's political dialogue.
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  26. Imagination as simulation: Aesthetics meets cognitive science.Gregory Currie - 1995 - In Martin Davies & Tony Stone (eds.), Mental Simulation. Blackwell.
  27.  54
    Two functional components of the hippocampal memory system.Howard Eichenbaum, Tim Otto & Neal J. Cohen - 1994 - Behavioral and Brain Sciences 17 (3):449-472.
    There is considerable evidence that the hippocampal system contributes both to (1) the temporary maintenance of memories and to (2) the processing of a particular type of memory representation. The findings on amnesia suggest that these two distinguishing features of hippocampal memory processing are orthogonal. Together with anatomical and physiological data, the neuropsychological findings support a model of cortico-hippocampal interactions in which the temporal and representational properties of hippocampal memory processing are mediated separately. We propose that neocortical association areas maintain (...)
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  28.  62
    Kant's political philosophy.Howard Williams - 1983 - New York: St. Martin's Press.
  29.  22
    The Fundamentals of Reasons.Nathan Robert Howard & Mark Schroeder - 2024 - Oxford University Press.
    The concept of a reason is now central to many areas of contemporary philosophy. Key theses in ethics, epistemology, political philosophy, philosophy of action, and the philosophy of the emotions, among others, have come to be framed in terms of reasons. And yet, despite their centrality, theorists seem to take inconsistent things for granted about how reasons work, what kinds of things can be reasons, what reasons favor, and more. Somehow reasons have come to be both indispensable and impenetrable. -/- (...)
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  30.  21
    The Significance of Religious Experience.Howard Wettstein - 2012 - New York, US: Oxford University Press.
    This book is collection of published and unpublished essays on the philosophy of religion by Howard Wettstein, who is a widely respected analytic philosopher. Over the past twenty years, Wettstein has attempted to reconcile his faith with his philosophy, and he brings his personal investment in this mission to the essays collected here. Influenced by the work of George Santayana, Wittgenstein, and A.J. Heschel, Wettstein grapples with central issues in the philosophy of religion such as the relationship of religious (...)
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  31. Kuhn's changing concept of incommensurability.Howard Sankey - 1993 - British Journal for the Philosophy of Science 44 (4):759-774.
    Since 1962 Kuhn's concept of incommensurability has undergone a process of transformation. His current account of incommensurability has little in common with his original account of it. Originally, incommensurability was a relation of methodological, observational and conceptual disparity between paradigms. Later Kuhn restricted the notion to the semantical sphere and assimilated it to the indeterminacy of translation. Recently he has developed an account of it as localized translation failure between subsets of terms employed by theories.
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  32. Realism and the Epistemic Objectivity of Science.Howard Sankey - 2021 - Kriterion - Journal of Philosophy 35 (1):5-20.
    The paper presents a realist account of the epistemic objectivity of science. Epistemic objectivity is distinguished from ontological objectivity and the objectivity of truth. As background, T.S. Kuhn’s idea that scientific theory-choice is based on shared scientific values with a role for both objective and subjective factors is discussed. Kuhn’s values are epistemologically ungrounded, hence provide a minimal sense of objectivity. A robust account of epistemic objectivity on which methodological norms are reliable means of arriving at the truth is presented. (...)
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  33.  15
    Rock, Bone, and Ruin An Optimist's Guide to the Historical Sciences.Adrian Currie - 2018 - The MIT Press.
    An argument that we should be optimistic about the capacity of “methodologically omnivorous” geologists, paleontologists, and archaeologists to uncover truths about the deep past. -/- The “historical sciences”—geology, paleontology, and archaeology—have made extraordinary progress in advancing our understanding of the deep past. How has this been possible, given that the evidence they have to work with offers mere traces of the past? In Rock, Bone, and Ruin, Adrian Currie explains that these scientists are “methodological omnivores,” with a variety of strategies (...)
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  34. Faith and Reason.Daniel Howard-Snyder & Daniel J. McKaughan - 2023 - In John Greco, Tyler Dalton McNabb & Jonathan Fuqua (eds.), The Cambridge Handbook of Religious Epistemology. New York, NY, USA: Cambridge University Press.
    Faith in God conflicts with reason—or so we’re told. We focus on two arguments for this conclusion. After evaluating three criticisms of them, we identify an assumption they share, namely that faith in God requires belief that God exists. Whether the assumption is true depends on what faith is. We sketch a theory of faith that allows for both faith in God without belief that God exists, and faith in God while in belief-cancelling doubt God’s existence. We then argue that (...)
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  35.  9
    Matter and sense: a critique of contemporary materialism.Howard Robinson - 1982 - New York: Cambridge University Press.
    Published in 1982 by CUP (pb. 2009) it discusses the forms of materialism then current, including Davidson, early Rorty, but concentrating on Smart and Armstrong, and arguing that central state materialism fails to give a better 'occurrent' account of conscious states than does behaviourism/functionalism, as Armstrong claims. The book starts with a version of the 'knowledge argument' and ends with a chapter claiming that our conception of matter/the physical is more problematic than our conception of mind.
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  36. Directly Plausible Principles.Howard Nye - 2015 - In Christopher Daly (ed.), Palgrave Handbook on Philosophical Methods. Palgrave Macmillan. pp. 610-636.
    In this chapter I defend a methodological view about how we should conduct substantive ethical inquiries in the fields of normative and practical ethics. I maintain that the direct plausibility and implausibility of general ethical principles – once fully clarified and understood – should be foundational in our substantive ethical reasoning. I argue that, in order to expose our ethical intuitions about particular cases to maximal critical scrutiny, we must determine whether they can be justified by directly plausible principles. To (...)
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  37.  6
    Becoming William James.Howard M. Feinstein - 1984 - Ithaca, N.Y.: Cornell University Press.
    For William James, work was the problem. Ultimately, going to work was the resolution, and James's quest for meaningful work remains as relevant at the end of the twentieth century as it was in the nineteenth. Weaving letters, diaries, drawings, and published texts, Becoming William James provides a convincing biographical analysis rich in detail and tone. In his new introduction, Howard M. Feinstein adds biological psychiatry to psychoanalytic and family systems theories to inform our understanding of a complex man. (...)
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  38. Imagination and make-believe.Gregory Currie - 2000 - In Berys Nigel Gaut & Dominic Lopes (eds.), The Routledge Companion to Aesthetics. Routledge.
     
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  39. Aristotle and the Virtues.Howard J. Curzer - 2012 - Oxford, GB: Oxford University Press.
    Howard J. Curzer presents a fresh new reading of Aristotle's Nicomachean Ethics, which brings each of the virtues alive. He argues that justice and friendship are symbiotic in Aristotle's view; reveals how virtue ethics is not only about being good, but about becoming good; and describes Aristotle's ultimate quest to determine happiness.
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  40. Robust vs Formal Normativity II, Or: No Gods, No Masters, No Authoritative Normativity.Nathan Robert Howard & N. G. Laskowski - forthcoming - In David Copp & Connie Rosati (eds.), The Oxford Handbook of Metaethics. Oxford University Press.
    Some rules seem more important than others. The moral rule to keep promises seems more important than the aesthetic rule not to wear brown with black or the pool rule not to scratch on the eight ball. A worrying number of metaethicists are increasingly tempted to explain this difference by appealing to something they call “authoritative normativity” – it’s because moral rules are “authoritatively normatively” that they are especially important. The authors of this chapter argue for three claims concerning “authoritative (...)
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  41.  2
    The individual and the state.H. MacL Currie - 1973 - London,: Dent.
  42.  32
    The Lomborg deception: setting the record straight about global warming.Howard Friel - 2010 - New Haven: Yale University Press.
    Questions the research, assumptions, and intention behind Danish statistician Bj²rn Lomborg's attacks on peer-reviewed scientific theories of global warming.
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  43.  21
    Remarks on the definition and nature of mathematics.H. B. Curry - 1954 - Dialectica 8 (3):228-233.
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  44.  10
    Infinity and Perspective.Howard H. Harries & Karsten Harries - 2001 - MIT Press (MA).
    A philosophical exploration of the origin and limits of the modern world.
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  45. Divine Hiddenness: New Essays.Daniel Howard-Snyder & Paul Moser - 2001 - New York, NY: Cambridge University Press.
    For many people the existence of God is by no means a sufficiently clear feature of reality. This problem, the fact of divine hiddenness, has been a source of existential concern and has sometimes been taken as a rationale for support of atheism or agnosticism. In this collection of essays, a distinguished group of philosophers of religion explore the question of divine hiddenness in considerable detail. The issue is approached from several perspectives including Jewish, Christian, atheist and agnostic. There is (...)
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  46. Walter Benjamin: the colour of experience.Howard Caygill - 1998 - New York: Routledge.
    In this major reinterpretation, Howard Caygill argues that all of Benjamin's work is characterized by its focus on a concept of experience derived from Kant but applied by Benjamin to objects as diverse as urban experience, visual art, literature and philosophy. The book analyzes the development of Benjamin's concept of experience in his early writings showing that it emerges from an engagement with visual experience, and in particular the experience of colour. By representing Benjamin as primarily a thinker of (...)
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  47.  55
    Venomous Dinosaurs and Rear-Fanged Snakes: Homology and Homoplasy Characterized. [REVIEW]Adrian Mitchell Currie - 2014 - Erkenntnis 79 (3):701-727.
    I develop an account of homology and homoplasy drawing on their use in biological inference and explanation. Biologists call on homology and homoplasy to infer character states, support adaptationist explanations, identify evolutionary novelties and hypothesize phylogenetic relationships. In these contexts, the concepts must be understood phylogenetically and kept separate: as they play divergent roles, overlap between the two ought to be avoided. I use these considerations to criticize an otherwise attractive view defended by Gould, Hall, and Ramsey & Peterson. By (...)
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  48.  13
    The hippocampal system and declarative memory in humans and animals: Experimental analysis and historical origins.Howard Eichenbaum - 1994 - In D. Schacter & E. Tulving (eds.), Memory Systems. MIT Press. pp. 147--201.
  49. The ontology of the mental.Howard Robinson - 2003 - In Michael J. Loux & Dean W. Zimmerman (eds.), The Oxford handbook of metaphysics. New York: Oxford University Press.
     
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  50. Robert Nola as I remember him.Howard Sankey - 2023 - Metascience 32 (1):3-5.
    The New Zealand philosopher, Robert Nola (1940-2022), has died. He was a kind man, a good friend, and a fine philosopher. Here is how I remember him.
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