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  1. The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics.Crispin Wright & Bob Hale - 2001 - Oxford: Clarendon Press.
    Here, Bob Hale and Crispin Wright assemble the key writings that lead to their distinctive neo-Fregean approach to the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the program and the contributions made to it by the various papers; a section explaining which issues most require further attention; and bibliographies of references and further useful sources. It will be recognized as the (...)
  2. Necessary Beings: An Essay on Ontology, Modality, and the Relations Between Them.Bob Hale - 2013 - Oxford University Press.
    Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things--not in meanings or concepts.
     
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  3. Necessity, Caution and Scepticism.Bob Hale & Crispin Wright - 1989 - Aristotelian Society Supplementary Volume 63 (1):175 - 238.
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  4. Necessary Beings: An Essay on Ontology, Modality, and the Relations Between Them.Bob Hale - 2013 - Oxford University Press UK.
    Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things--not in meanings or concepts.
     
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  5. Abstract Objects.BOB HALE - 1988 - Blackwell.
  6. Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics.Bob Hale & Crispin Wright - 2003 - Oxford University Press UK.
    Bob Hale and Crispin Wright draw together here the key writings in which they have worked out their distinctive neo-Fregean approach to the philosophy of mathematics. The two main components in Frege's mathematical philosophy were his platonism and his logicism -- the claims, respectively, that mathematics is a body of knowledge about independently existing objects, and that this knowledge may be acquired on the basis of general logical laws and suitable definitions. The central thesis of this collection is that Frege (...)
     
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  7. The Reason's Proper Study: Essays Toward a Neo-Fregean Philosophy of Mathematics.Bob Hale & Crispin Wright - 2006 - Bulletin of Symbolic Logic 12 (2):291-294.
     
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  8.  92
    Relative Necessity Reformulated.Bob Hale & Jessica Leech - 2017 - Journal of Philosophical Logic 46 (1):1-26.
    This paper discusses some serious difficulties for what we shall call the standard account of various kinds of relative necessity, according to which any given kind of relative necessity may be defined by a strict conditional - necessarily, if C then p - where C is a suitable constant proposition, such as a conjunction of physical laws. We argue, with the help of Humberstone, that the standard account has several unpalatable consequences. We argue that Humberstone’s alternative account has certain disadvantages, (...)
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  9.  22
    Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Bob Hale & Geoffrey Hellman - 1992 - Philosophical Review 101 (4):919.
  10. The Metaontology of Abstraction.Bob Hale & Crispin Wright - 2009 - In David John Chalmers, David Manley & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 178-212.
  11.  53
    Implicit Definition and the a Priori.Bob Hale & Crispin Wright - 2000 - In Paul Boghossian & Christopher Peacocke (eds.), New Essays on the a Priori. Oxford University Press. pp. 286--319.
  12.  76
    Essence and Definition by Abstraction.Bob Hale - forthcoming - Synthese:1-17.
    We may define words or concepts, and we may also, as Aristotle and others have thought, define the things for which words stand and of which concepts are concepts. Definitions of words or concepts may be explicit or implicit, and may seek to report preexisting synonymies, as Quine put it, but they may instead be wholly or partly stipulative. Definition by abstraction, of which Hume’s principle is a much discussed example, seek to define a term-forming operator, such as the number (...)
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  13. Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
    On the neo-Fregean approach to the foundations of mathematics, elementary arithmetic is analytic in the sense that the addition of a principle wliich may be held to IMJ explanatory of the concept of cardinal number to a suitable second-order logical basis suffices for the derivation of its basic laws. This principle, now commonly called Hume's principle, is an example of a Fregean abstraction principle. In this paper, I assume the correctness of the neo-Fregean position on elementary aritlunetic and seek to (...)
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  14. Absolute Necessities.Bob Hale - 1996 - Philosophical Perspectives 10:93 - 117.
  15. The Source Of Necessity.Bob Hale - 2002 - Noûs 36 (s16):299-319.
  16. Horse Sense.Bob Hale & Crispin Wright - 2012 - Journal of Philosophy 109 (1-2):85-131.
  17.  69
    The Limits of Abstraction.Bob Hale - 2006 - Philosophy and Phenomenological Research 72 (1):223-232.
    Kit Fine’s book is a study of abstraction in a quite precise sense which derives from Frege. In his Grundlagen, Frege contemplates defining the concept of number by means of what has come to be called Hume’s principle—the principle that the number of Fs is the same as the number of Gs just in case there is a one-to-one correspondence between the Fs and the Gs. Frege’s discussion is largely conducted in terms of another, similar but in some respects simpler, (...)
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  18. Benacerraf's Dilemma Revisited.Bob Hale & Crispin Wright - 2002 - European Journal of Philosophy 10 (1):101–129.
  19. A Companion to the Philosophy of Language.Bob Hale, Crispin Wright & Alexander Miller (eds.) - 1997 - Wiley-Blackwell.
  20. On Some Arguments for the Necessity of Necessity.Bob Hale - 1999 - Mind 108 (429):23-52.
    Must we believe in logical necessity? I examine an argument for an affirmative answer given by Ian McFetridge in his posthumously published paper 'Logical Necessity: Some Issues', and explain why it fails, as it stands, to establish his conclusion. I contend, however, that McFetridge's argument can be effectively buttressed by drawing upon another argument aimed at establishing that we ought to believe that some propositions are logically necessary, given by Crispin Wright in his paper 'Inventing Logical necessity'. My contention is (...)
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  21. A Companion to the Philosophy of Language.Bob Hale & Crispin Wright - 1999 - Philosophical Quarterly 49 (196):405-409.
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  22. Abstract Objects.BOB HALE - 1988 - Revue Philosophique de la France Et de l'Etranger 179 (1):109-109.
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  23.  47
    Abstraction and Set Theory.Bob Hale - 2000 - Notre Dame Journal of Formal Logic 41 (4):379--398.
    The neo-Fregean program in the philosophy of mathematics seeks a foundation for a substantial part of mathematics in abstraction principles—for example, Hume’s Principle: The number of Fs D the number of Gs iff the Fs and Gs correspond one-one—which can be regarded as implicitly definitional of fundamental mathematical concepts—for example, cardinal number. This paper considers what kind of abstraction principle might serve as the basis for a neo- Fregean set theory. Following a brief review of the main difficulties confronting the (...)
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  24. Abstract Objects.Bob Hale - 1987 - Mind 97 (387):487-490.
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  25. Nominalism and the Contingency of Abstract Objects.Crispin Wright & Bob Hale - 1992 - Journal of Philosophy 89 (3):111-135.
  26. Focus Restored: Comments on John MacFarlane.Bob Hale & Crispin Wright - 2009 - Synthese 170 (3):457 - 482.
    In “Double Vision Two Questions about the Neo-Fregean Programme”, John MacFarlane’s raises two main questions: (1) Why is it so important to neo-Fregeans to treat expressions of the form ‘the number of Fs’ as a species of singular term? What would be lost, if anything, if they were analysed instead as a type of quantifier-phrase, as on Russell’s Theory of Definite Descriptions? and (2) Granting—at least for the sake of argument—that Hume’s Principle may be used as a means of implicitly (...)
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  27.  10
    Reals by Abstraction.Bob Hale - 2000 - The Proceedings of the Twentieth World Congress of Philosophy 6:197-207.
    While Frege’s own attempt to provide a purely logical foundation for arithmetic failed, Hume’s principle suffices as a foundation for elementary arithmetic. It is known that the resulting system is consistent—or at least if second-order arithmetic is. Some philosophers deny that HP can be regarded as either a truth of logic or as analytic in any reasonable sense. Others—like Crispin Wright and I—take the opposed view. Rather than defend our claim that HP is a conceptual truth about numbers, I explain (...)
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  28. The Bearable Lightness of Being (Vol 20, Pg 399, 2010).Bob Hale - 2011 - Axiomathes 21 (4):597 - 597.
    How are philosophical questions about what kinds of things there are to be understood and how are they to be answered? This paper defends broadly Fregean answers to these questions. Ontological categories—such as object , property , and relation —are explained in terms of a prior logical categorization of expressions, as singular terms, predicates of varying degree and level, etc. Questions about what kinds of object, property, etc., there are are, on this approach, reduce to questions about truth and logical (...)
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  29. Can There Be a Logic of Attitudes?Bob Hale - 1993 - In John Haldane & Crispin Wright (eds.), Reality, Representation, and Projection. Oxford University Press. pp. 337--63.
  30.  87
    Can Arboreal Knotwork Help Blackburn Out of Frege’s Abyss?Bob Hale - 2002 - Philosophy and Phenomenological Research 65 (1):144-149.
    An early objection to Simon Blackburn’s first attempts to breathe new life into expressivism—by solving the Frege-Geach problem—was that whilst viewing compound sentences featuring moral components as expressive of attitudes towards combinations of attitudes might enable one to make out that a thinker who, to take the usual example, asserts the premisses but will not accept the conclusion of a moral modus ponens is at fault because they are involved in a “clash of attitudes”, this does no justice to the (...)
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  31.  67
    Grundlagen §64.Bob Hale - 1997 - Proceedings of the Aristotelian Society 97 (3):243–261.
  32. Second-Order Logic: Properties, Semantics, and Existential Commitments.Bob Hale - 2019 - Synthese 196 (7):2643-2669.
    Quine’s most important charge against second-, and more generally, higher-order logic is that it carries massive existential commitments. The force of this charge does not depend upon Quine’s questionable assimilation of second-order logic to set theory. Even if we take second-order variables to range over properties, rather than sets, the charge remains in force, as long as properties are individuated purely extensionally. I argue that if we interpret them as ranging over properties more reasonably construed, in accordance with an abundant (...)
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  33. Modality: Metaphysics, Logic, and Epistemology.Bob Hale & Aviv Hoffmann (eds.) - 2009 - Oxford University Press.
    The philosophy of modality investigates necessity and possibility, and related notions--are they objective features of mind-independent reality? If so, are they irreducible, or can modal facts be explained in other terms? This volume presents new work on modality by established leaders in the field and by up-and-coming philosophers. Between them, the papers address fundamental questions concerning realism and anti-realism about modality, the nature and basis of facts about what is possible and what is necessary, the nature of modal knowledge, modal (...)
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  34. Rule-Following, Objectivity and Meaning.Bob Hale - 1997 - In Bob Hale & C. Wright (eds.), A Companion to the Philosophy of Language. Blackwell.
  35. A Desperate Fix.Bob Hale - 1995 - Analysis 55 (2):74-81.
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  36.  11
    Knowledge of Possibility and of Necessity.Bob Hale - 2003 - Proceedings of the Aristotelian Society 103 (1):1-20.
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  37.  35
    Frege's Philosophy of Mathematics. [REVIEW]Bob Hale - 1999 - Philosophical Quarterly 49 (194):92-104.
  38. A Reductio Ad Surdum? Field on the Contingency of Mathematical Objects.Bob Hale & Crispin Wright - 1994 - Mind 103 (410):169-184.
  39. Introduction.Bob Hale & Crispin Wright - 2001 - In Bob Hale & Crispin Wrigth (eds.), The Reason's Proper Study. Essays Towards a Neo-Fregean Philosophy of Mathematics. Oxford University Press. pp. 1-27.
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  40.  15
    Singular Terms.Bob Hale - 1994 - In Brian McGuiness & Gianluigi Oliveri (eds.), The Philosophy of Michael Dummett. Kluwer Academic Publishers. pp. 17--44.
  41. Knowledge of Possibility and of Necessity.Bob Hale - 2002 - Proceedings of the Aristotelian Society 103 (1):1–20.
    I investigate two asymmetrical approaches to knowledge of absolute possibility and of necessity--one which treats knowledge of possibility as more fundamental, the other according epistemological priority to necessity. Two necessary conditions for the success of an asymmetrical approach are proposed. I argue that a possibility-based approach seems unable to meet my second condition, but that on certain assumptions--including, pivotally, the assumption that logical and conceptual necessities, while absolute, do not exhaust the class of absolute necessities--a necessity-based approach may be able (...)
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  42.  38
    Review: The Compleat Projectivist. [REVIEW]Bob Hale - 1986 - Philosophical Quarterly 36 (142):65 - 84.
  43.  35
    The Basis of Necessity and Possibility.Bob Hale - 2018 - Royal Institute of Philosophy Supplement 82:109-138.
    The article argues that modal concepts should be explained in terms of the essences or nature of things: necessarily p if, and because, there is something the nature of which ensures that p; possibly p if, and because, there is nothing whose nature rules out its being true that p. The theory is defended against various objections and difficulties, including ones arising from attributing essences to contingent individuals.
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  44. Putnam's Model-Theoretic Argument Against Metaphysical Realism.Bob Hale & Crispin Wright - 1997 - In Bob Hale & Crispin Wright (eds.), A Companion to the Philosophy of Language. Blackwell. pp. 427--57.
  45. Modal Fictionalism: A Simple Dilemma.Bob Hale - 1995 - Analysis 55 (2):63--7.
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  46.  31
    A Response to Potter and Smiley: Abstraction by Recarving.Bob Hale - 2001 - Proceedings of the Aristotelian Society 101 (3):339–358.
  47. Abstraction and Additional Nature.Bob Hale & Crispin Wright - 2008 - Philosophia Mathematica 16 (2):182-208.
    What is wrong with abstraction’, Michael Potter and Peter Sullivan explain a further objection to the abstractionist programme in the foundations of mathematics which they first presented in their ‘Hale on Caesar’ and which they believe our discussion in The Reason's Proper Study misunderstood. The aims of the present note are: To get the character of this objection into sharper focus; To explore further certain of the assumptions—primarily, about reference-fixing in mathematics, about certain putative limitations of abstractionist set theory, and (...)
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  48.  50
    Is Platonism Epistemologically Bankrupt?Bob Hale - 1994 - Philosophical Review 103 (2):299-325.
  49.  6
    Modal Fictionalism: A Simple Dilemma.Bob Hale - 1995 - Analysis 55 (2):63.
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  50.  58
    Dummett's Critique of Wright's Attempt to Resuscitate Frege.Bob Hale - 1994 - Philosophia Mathematica 2 (2):122-147.
    Michael Dummett mounts, in Frege: Philosophy of Mathematics, a concerted attack on the attempt, led by Crispin Wright, to salvage defensible versions of Frege's platonism and logicism in which Frege's criterion of numerical identity plays a leading role. I discern four main strands in this attack—that Wright's solution to the Caesar problem fails; that explaining number words contextually cannot justify treating them as enjoying robust reference; that Wright has no effective counter to ontological reductionism; and that the attempt is vitiated (...)
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