Search results for 'By Neil Tennant' (try it on Scholar)

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  1. By Neil Tennant (2005). Rule-Circularity and the Justification of Deduction. Philosophical Quarterly 55 (221):625–648.score: 960.0
    I examine Paul Boghossian's recent attempt to argue for scepticism about logical rules. I argue that certain rule- and proof-theoretic considerations can avert such scepticism. Boghossian's 'Tonk Argument' seeks to justify the rule of tonk-introduction by using the rule itself. The argument is subjected here to more detailed proof-theoretic scrutiny than Boghossian undertook. Its sole axiom, the so-called Meaning Postulate for tonk, is shown to be false or devoid of content. It is also shown that the rules of Disquotation and (...)
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  2. Neil Tennant (2010). Williamson's Woes. Synthese 173 (1):9 - 23.score: 720.0
    This is a reply to Timothy Williamson’s paper ‘Tennant’s Troubles’. It defends against Williamson’s objections the anti-realist’s knowability principle based on the author’s ‘local’ restriction strategy involving Cartesian propositions, set out in The Taming of the True . Williamson’s purported Fitchian reductio , involving the unknown number of books on his table, is analyzed in detail and shown to be fallacious. Williamson’s attempt to cause problems for the anti-realist by means of a supposed rigid designator (...)
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  3. Neil Tennant (2002). Victor Vanquished. Analysis 62 (2):135–142.score: 720.0
    The naive anti-realist holds the following principle: (◊K) All truths are knowable. This unrestricted generalization (◊K), as is now well known, falls prey to Fitch’s Paradox (Fitch 1963: 38, Theorem 1). It can be used as the only suspect principle, alongside others that cannot be impugned, to prove quite generally, and constructively, that the set {p, ¬Kp} is inconsistent (Tennant 1997: 261). From this it would follow, intuitionistically, that any proposition that is never actually known to be true (by (...)
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  4. Neil Tennant (1997). The Taming of the True. Oxford University Press.score: 520.0
    The Taming of the True poses a broad challenge to realist views of meaning and truth that have been prominent in recent philosophy. Neil Tennant argues compellingly that every truth is knowable, and that an effective logical system can be based on this principle. He lays the foundations for global semantic anti-realism and extends its consequences from the philosophy of mathematics and logic to the theory of meaning, metaphysics, and epistemology.
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  5. Daniel Osherson, Note on an Observation by Neil Tennant.score: 492.0
    Neil Tennant (Tennant, 2005) has offered an important observation about the AGM theory of belief revision (G¨ardenfors, 1988). We attempt to restate and demonstrate his result in a slightly different way. Fix a formal language L that embeds sentential logic. Given K ⊆ L and ϕ ∈ L, K ⊥ ϕ denotes the class of maximally consistent subsets of K that do not imply ϕ. That is, A ∈ K ⊥ ϕ iff A ⊆ K, A |= (...)
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  6. Neil Tennant (2008). Carnap, Gödel, and the Analyticity of Arithmetic. Philosophia Mathematica 16 (1):100-112.score: 450.0
    Michael Friedman maintains that Carnap did not fully appreciate the impact of Gödel's first incompleteness theorem on the prospect for a purely syntactic definition of analyticity that would render arithmetic analytically true. This paper argues against this claim. It also challenges a common presumption on the part of defenders of Carnap, in their diagnosis of the force of Gödel's own critique of Carnap in his Gibbs Lecture. The author is grateful to Michael Friedman for valuable comments. Part of the research (...)
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  7. Neil Tennant (1997). On the Necessary Existence of Numbers. Noûs 31 (3):307-336.score: 450.0
    We examine the arguments on both sides of the recent debate (Hale and Wright v. Field) on the existence, and modal status, of the natural numbers. We formulate precisely, with proper attention to denotational commitments, the analytic conditionals that link talk of numbers with talk of numerosity and with counting. These provide conceptual controls on the concept of number. We argue, against Field, that there is a serious disanalogy between the existence of God and the existence of numbers. We give (...)
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  8. Neil Tennant (2002). The Emperor's New Concepts. Noûs 36 (16):345-377.score: 450.0
    Christopher Peacocke, in A Study of Concepts, motivates his account of possession conditions for concepts by means of an alleged parallel with the conditions under which numbers are abstracted to give the numerosity of a predicate. There are, however, logical mistakes in Peacocke.
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  9. Neil Tennant (2008). Belief-Revision, the Ramsey Test, Monotonicity, and the so-Called Impossibility Results. Review of Symbolic Logic 1 (4):402-423.score: 450.0
    Peter G¨ ardenfors proved a theorem purporting to show that it is impossible to adjoin to the AGM -postulates for belief-revision a principle of monotonicity for revisions. The principle of monotonicity in question is implied by the Ramsey test for conditionals. So G¨.
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  10. Neil Tennant (2002). Deflationism and the Gödel Phenomena. Mind 111 (443):551-582.score: 450.0
    consistent and sufficiently strong system of first-order formal arithmetic fails to decide some independent Gödel sentence. We examine consistent first-order extensions of such systems. Our purpose is to discover what is minimally required by way of such extension in order to be able to prove the Gödel sentence in a non-trivial fashion. The extended methods of formal proof must capture the essentials of the so-called ‘semantical argument’ for the truth of the Gödel sentence. We are concerned to show that the (...)
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  11. Neil Tennant (2001). On Turing Machines Knowing Their Own Gödel-Sentences. Philosophia Mathematica 9 (1):72-79.score: 450.0
    Storrs McCall appeals to a particular true but improvable sentence of formal arithmetic to argue, by appeal to its irrefutability, that human minds transcend Turing machines. Metamathematical oversights in McCall's discussion of the Godel phenomena, however, render invalid his philosophical argument for this transcendentalist conclusion.
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  12. W. D. Hart (2008). Book Review: The Taming of the True, by Neil Tennant. [REVIEW] Notre Dame Journal of Formal Logic 49 (4):447-451.score: 450.0
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  13. Neil Tennant (forthcoming). Logic, Mathematics, and the A Priori, Part I: A Problem for Realism. Philosophia Mathematica:nku006.score: 450.0
    This is Part I of a two-part study of the foundations of mathematics through the lenses of (i) apriority and analyticity, and (ii) the resources supplied by Core Logic. Here we explain what is meant by apriority, as the notion applies to knowledge and possibly also to truths in general. We distinguish grounds for knowledge from grounds of truth, in light of our recent work on truthmakers. We then examine the role of apriority in the realism/anti-realism debate. We raise a (...)
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  14. Neil Tennant (2003). Review of B. Hale and C. Wright, The Reason's Proper Study. [REVIEW] Philosophia Mathematica 11 (2):226-241.score: 450.0
    The over-arching theme is that we can redeem Frege's key philosophical insights concerning (natural and real) numbers and our knowledge of them, despite Russell's famous discovery of paradox in Frege's own theory of classes. That paradox notwithstanding, numbers are still logical objects, in some sense created or generated by methods or principles of abstraction— which of course cannot be as ambitious as Frege's Basic Law U. These principles not only bring numbers into existence, as it were, but also afford a (...)
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  15. Neil Tennant (2008). Introduction. Philosophia Mathematica 16 (1):1-3.score: 450.0
    Christopher Peacocke, in A Study of Concepts, motivates his account of possession conditions for concepts by means of an alleged parallel with the conditions under which numbers are abshacted to give the numerosity of a predicate. There are, however, logical mistakes in Peacocke's treatment of numbers, which undermine his intended analogy. Nevertheless Peacocke's account of possession conditions for concepts is not rendered inadequate simply by virtue of being deprived of the intended analogy and the motivation it was supposed to afford. (...)
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  16. Neil Tennant, Contents.score: 450.0
    I examine Paul Boghossian’s recent attempt to argue for scepticism about logical rules. I argue that certain rule- and proof-theoretic considerations can avert such scepticism. Boghossian’s ‘Tonk Argu- ment’ seeks to justify the rule of tonk-introduction by using the rule itself. The argument is subjected here to more detailed proof-theoretic scrutiny than Boghossian undertook. Its sole axiom, the so-called Meaning Postulate for tonk, is shown to be false or devoid of content. It is also shown that the rules of Disquotation (...)
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  17. Neil Tennant (2001). Is Every Truth Knowable? Reply to Williamson. Ratio 14 (3):263–280.score: 450.0
    This paper addresses an objection raised by Timothy Williamson to the ‘restriction strategy’ that I proposed, in The Taming of The True, in order to deal with the Fitch paradox. Williamson provides a new version of a Fitch-style argument that purports to show that even the restricted principle of knowability suffers the same fate as the unrestricted one. I show here that the new argument is fallacious. The source of the fallacy is a misunderstanding of the condition used in stating (...)
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  18. Neil Tennant (1994). Intuitionistic Mathematics Does Not Needex Falso Quodlibet. Topoi 13 (2):127-133.score: 450.0
    We define a system IR of first-order intuitionistic relevant logic. We show that intuitionistic mathematics (on the assumption that it is consistent) can be relevantized, by virtue of the following metatheorem: any intuitionistic proof of A from a setX of premisses can be converted into a proof in IR of eitherA or absurdity from some subset ofX. Thus IR establishes the same inconsistencies and theorems as intuitionistic logic, and allows one to prove every intuitionistic consequence of any consistent set of (...)
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  19. Neil Tennant (2014). The Logical Structure of Evolutionary Explanation and Prediction: Darwinism's Fundamental Schema. Biology and Philosophy 29 (5):611-655.score: 450.0
    We present a logically detailed case-study of Darwinian evolutionary explanation. Special features of Darwin’s explanatory schema made it an unusual theoretical breakthrough, from the point of view of the philosophy of science. The schema employs no theoretical terms, and puts forward no theoretical hypotheses. Instead, it uses three observational generalizations—Variability, Heritability and Differential Reproduction—along with an innocuous assumption of Causal Efficacy, to derive Adaptive Evolution as a necessary consequence. Adaptive Evolution in turn, with one assumption of scale (‘Deep Time’), implies (...)
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  20. Neil Tennant (1984). Perfect Validity, Entailment and Paraconsistency. Studia Logica 43 (1-2):181 - 200.score: 450.0
    This paper treats entailment as a subrelation of classical consequence and deducibility. Working with a Gentzen set-sequent system, we define an entailment as a substitution instance of a valid sequent all of whose premisses and conclusions are necessary for its classical validity. We also define a sequent Proof as one in which there are no applications of cut or dilution. The main result is that the entailments are exactly the Provable sequents. There are several important corollaries. Every unsatisfiable set is (...)
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  21. Neil Tennant (2006). New Foundations for a Relational Theory of Theory-Revision. Journal of Philosophical Logic 35 (5):489 - 528.score: 450.0
    AGM-theory, named after its founders Carlos Alchourrón, Peter Gärdenfors and David Makinson, is the leading contemporary paradigm in the theory of belief-revision. The theory is reformulated here so as to deal with the central relational notions 'J is a contraction of K with respect to A' and 'J is a revision of K with respect to A'. The new theory is based on a principal-case analysis of the domains of definition of the three main kinds of theory-change (expansion, contraction and (...)
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  22. Neil Tennant (2003). Frege's Content-Principle and Relevant Deducibility. Journal of Philosophical Logic 32 (3):245-258.score: 450.0
    Given the harmony principle for logical operators, compositionality ought to ensure that harmony should obtain at the level of whole contents. That is, the role of a content qua premise ought to be balanced exactly by its role as a conclusion. Frege's contextual definition of propositional content happens to exploit this balance, and one appeals to the Cut rule to show that the definition is adequate. We show here that Frege's definition remains adequate even when one relevantizes logic by abandoning (...)
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  23. Neil Tennant (forthcoming). Logic, Mathematics, and the A Priori, Part II: Core Logic as Analytic, and as the Basis for Natural Logicism. Philosophia Mathematica:nku009.score: 450.0
    We examine the sense in which logic is a priori, and explain how mathematical theories can be dichotomized non-trivially into analytic and synthetic portions. We argue that Core Logic contains exactly the a-priori-because-analytically-valid deductive principles. We introduce the reader to Core Logic by explaining its relationship to other logical systems, and stating its rules of inference. Important metatheorems about Core Logic are reported, and its important features noted. Core Logic can serve as the basis for a foundational program that could (...)
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  24. Benjamin Bewersdorf (2014). Changes of Mind: An Essay on Rational Belief Revision, by Neil Tennant. Mind 123 (489):246-251.score: 450.0
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  25. Neil Tennant (2006). On the Degeneracy of the Full AGM-Theory of Theory-Revision. Journal of Symbolic Logic 71 (2):661 - 676.score: 450.0
    A general method is provided whereby bizarre revisions of consistent theories with respect to contingent sentences that they refute can be delivered by revision-functions satisfying both the basic and the supplementary postulates of the AGM-theory of theory-revision.
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  26. Neil Tennant (2001). Game Theory and Conventiont. Nordic Journal of Philosophical Logic 6 (1):3-19.score: 450.0
    This paper rebuts criticisms by Hintikka of the author's account of game-theoretic semantics for classical logic. At issue are (i) the role of the axiom of choice in proving the equivalence of the game-theoretic account with the standard truth-theoretic account; (ii) the alleged need for quantification over strategies when providing a game-theoretic semantics; and (iii) the role of Tarski's Convention T. As a result of the ideas marshalled in response to Hintikka, the author puts forward a new conjecture concerning the (...)
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  27. Neil Tennant (2005). Rule-Circularity and the Justification of Deduction. Philosophical Quarterly 55 (221):625 - 648.score: 450.0
    I examine Paul Boghossian's recent attempt to argue for scepticism about logical rules. I argue that certain rule- and proof-theoretic considerations can avert such scepticism. Boghossian's 'Tonk Argument' seeks to justify the rule of tonk-introduction by using the rule itself. The argument is subjected here to more detailed proof-theoretic scrutiny than Boghossian undertook. Its sole axiom, the so-called Meaning Postulate for tonk, is shown to be false or devoid of content. It is also shown that the rules of Disquotation and (...)
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  28. Neil Tennant (2006). A Note on the Irrelevance of Probabilistic Irrelevance. Analysis 66 (289):32–35.score: 450.0
    In his book Bayes or Bust?, John Earman (1992: 63–65) seeks to set out the Bayesian reasoning that would vindicate the pre-theoretic intuition that a theory receives confirmation from having its observational predictions borne out by experience.
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  29. Neil Tennant (2009). Revamping the Restriction Strategy. In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press.score: 450.0
    This study continues the anti-realist’s quest for a principled way to avoid Fitch’s paradox. It is proposed that the Cartesian restriction on the anti-realist’s knowability principle ‘ϕ, therefore 3Kϕ’ should be formulated as a consistency requirement not on the premise ϕ of an application of the rule, but rather on the set of assumptions on which the relevant occurrence of ϕ depends. It is stressed, by reference to illustrative proofs, how important it is to have proofs in normal form before (...)
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  30. Neil Tennant (1989). Truth Table Logic, with a Survey of Embeddability Results. Notre Dame Journal of Formal Logic 30 (3):459-484.score: 450.0
    Kalrnaric. We set out a system T, consisting of normal proofs constructed by means of elegantly symmetrical introduction and elimination rules. In the system T there are two requirements, called ( ) and ()), on applications of discharge rules. T is sound and complete for Kalmaric arguments. ( ) requires nonvacuous discharge of assumptions; ()) requires that the assumption discharged be the sole one available of highest degree. We then consider a 'Duhemian' extension T*, obtained simply by dropping the requirement (...)
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  31. Neil Tennant, §1. Exposition.score: 450.0
    Peacocke argues for a ‘generalized rationalism’, holding that ‘all entitlement has a fundamentally a priori component.’ (2) But his rationalism ‘differs from those of Frege and Gödel, just as theirs differ from that of Leibniz.’ He requires both substantive theories of intentional content and of understanding, and systematic formal theories of referential semantics and truth. We need an externalist theory of content: ‘Only mental states with externally individuated contents can make judgements about the external, mind-independent world rational.’ (123) Purely evidential (...)
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  32. Alan Weir (1989). Neil Tennant, Anti-Realism, and Logic: Truth as Eternal Reviewed By. Philosophy in Review 9 (7):293-296.score: 435.0
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  33. Matthew Tennant (2008). To Rwanda and Back: Liberation Spirituality and Reconciliation. By Mary Grey. Heythrop Journal 49 (3):526–527.score: 360.0
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  34. R. A. Neil (1893). Editions of the Herodas Papyrus Classical Texts From Papyri in the British Museum, Including the Newly Discovered Poems of Herodas, Edited by F. G. Kenyon, M.A. By Order of the Trustees of the British Museum. 1891. HPΩNΔOΓ MIMIAMBOI. Herondas, a First Recension, by William Gunion Rutherford, M.A., LL.D. London: Macmillan & Co. 1891. HPΩDelta;OΓ MIMIAMBOI. Herodas, Facsimile of Papyrus CXXXV. In the British Museum. By Order of the Trustees. 1892. Herondae Mimiambi. Edidit Franciscus Buecheler. Bonnae, 1892. Mk. 2.40. ——: Exemplum Iteratum. 1892. Untersuchungen Zu den Mimiumben des Herondas: Otto von Crusius. Leipzig, 1892. Mk. 6. Herondae Mimiambi. Edidit Otto Crusius. (Bibliotheca Teubneriana) Lipsiae, 1892. Mk. 2.40. [REVIEW] The Classical Review 7 (07):314-318.score: 360.0
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  35. Matthew Tennant (2012). A Moral Climate: The Ethics of Global Warming. By Michael S. Northcott. Pp. 336, London, Darton, Longman and Todd, 2007, £14.95. [REVIEW] Heythrop Journal 53 (5):897-898.score: 360.0
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  36. Neil Tennant (1987). Anti-Realism and Logic: Truth as Eternal. Oxford University Press.score: 300.0
    Anti-realism is a doctrine about logic, language, and meaning that is based on the work of Wittgenstein and Frege. In this book, Professor Tennant clarifies and develops Dummett's arguments for anti-realism and ultimately advocates a radical reform of our logical practices.
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  37. Neil Tennant (1997). Changing the Theory of Theory Change: Reply to My Critics. British Journal for the Philosophy of Science 48 (4):569-586.score: 300.0
    Changing the Theory of Theory Change: Towards a Computational Approach’ (Tennant [1994]; henceforth CTTC) claimed that the AGM postulate of recovery is false, and that AGM contractions of theories can be more than minimally mutilating. It also described an alternative, computational method for contracting theories, called the Staining Algorithm. Makinson [1995] and Hansson and Rott [1995] criticized CTTC's arguments against AGM-theory, and its specific proposals for an alternative, computational approach. This paper replies as comprehensively as space allows.
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  38. Kit Fine & Neil Tennant (1983). A Defence of Arbitrary Objects. Aristotelian Society Supplementary Volume 57:55 - 89.score: 240.0
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  39. Neil Tennant, Inferentialism, Logicism, Harmony, and a Counterpoint.score: 240.0
    Inferentialism is explained as an attempt to provide an account of meaning that is more sensitive (than the tradition of truth-conditional theorizing deriving from Tarski and Davidson) to what is learned when one masters meanings.
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  40. Neil Tennant (2010). The Logical Structure of Scientific Explanation and Prediction: Planetary Orbits in a Sun's Gravitational Field. Studia Logica 95 (1/2):207 - 232.score: 240.0
    We present a logically detailed case-study of explanation and prediction in Newtonian mechanics. The case in question is that of a planet's elliptical orbit in the Sun's gravitational field. Care is taken to distinguish the respective contributions of the mathematics that is being applied, and of the empirical hypotheses that receive a mathematical formulation. This enables one to appreciate how in this case the overall logical structure of scientific explanation and prediction is exactly in accordance with the hypotheticodeductive model.
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  41. Neil Tennant (1995). Paradoxes of Pure Curiosity. Theory and Decision 38 (3):321-330.score: 240.0
    We consider how a rational decision theorist would justify committing resources to an investigation designed to satisfy pure curiosity. We derive a strange result about the need to be completely open-minded about the outcome.
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  42. Neil Tennant (2007). Existence and Identity in Free Logic: A Problem for Inferentialism? Mind 116 (464):1055-1078.score: 240.0
    Peter Milne (2007) poses two challenges to the inferential theorist of meaning. This study responds to both. First, it argues that the method of natural deduction idealizes the essential details of correct informal deductive reasoning. Secondly, it explains how rules of inference in free logic can determine unique senses for the existential quantifier and the identity predicate. The final part of the investigation brings out an underlying order in a basic family of free logics.
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  43. Neil Tennant (1994). Changing the Theory of Theory Change: Towards a Computational Approach. British Journal for the Philosophy of Science 45 (3):865-897.score: 240.0
    The Theory of theory change has contraction and revision as its central notions. Of these, contraction is the more fundamental. The best-known theory, due to Alchourrón, Gärdenfors, and Makinson, is based on a few central postulates. The most fundamental of these is the principle of recovery: if one contracts a theory with respect to a sentence, and then adds that sentence back again, one recovers the whole theory. Recovery is demonstrably false. This paper shows why, and investigates how one can (...)
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  44. Neil Tennant, On Negation, Truth and U Arranted Assertibility.score: 240.0
    All parties to the proceedings that follow concur with DS. The question is whether there is anything more to truth than can be gleaned from DS alone. Deflationism holds that there is nothing more to truth than this. Now it would appear that 'warrantedly assertible' can play the role of T in DS. Hence it would appear that the deflationist would be able to identify truth with warranted assertibility.
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  45. Neil Tennant (2005). Deflationism and the Gödel Phenomena: Reply to Ketland. Mind 114 (453):89-96.score: 240.0
    I am not a deflationist. I believe that truth and falsity are substantial. The truth of a proposition consists in its having a constructive proof, or truthmaker. The falsity of a proposition consists in its having a constructive disproof, or falsitymaker. Such proofs and disproofs will need to be given modulo acceptable premisses. The choice of these premisses will depend on the discourse in question.
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  46. Neil Tennant (2012). Cut for Core Logic. Review of Symbolic Logic 5 (3):450-479.score: 240.0
    The motivation for Core Logic is explained. Its system of proof is set out. It is then shown that, although the system has no Cut rule, its relation of deducibility obeys Cut with epistemic gain.
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  47. Neil Tennant (2010). Harmony in a Sequent Setting. Analysis 70 (3):462 - 468.score: 240.0
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  48. Neil Tennant (2014). Aristotle's Syllogistic and Core Logic. History and Philosophy of Logic 35 (2):120-147.score: 240.0
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  49. Neil Tennant (2007). Mind, Mathematics and the Ignorabimusstreit. British Journal for the History of Philosophy 15 (4):745 – 773.score: 240.0
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