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  1. Modal Structuralism Simplified.Sharon Berry - 2018 - Canadian Journal of Philosophy 48 (2):200-222.
    Since Benacerraf’s ‘What Numbers Could Not Be, ’ there has been a growing interest in mathematical structuralism. An influential form of mathematical structuralism, modal structuralism, uses logical possibility and second order logic to provide paraphrases of mathematical statements which don’t quantify over mathematical objects. These modal structuralist paraphrases are a useful tool for nominalists and realists alike. But their use of second order logic and quantification into the logical possibility operator raises concerns. In this paper, I show that the work (...)
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  • Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical grounding: understanding the structure of reality. Cambridge: Cambridge University Press. pp. 37--80.
    A number of philosophers have recently become receptive to the idea that, in addition to scientific or causal explanation, there may be a distinctive kind of metaphysical explanation, in which explanans and explanandum are connected, not through some sort of causal mechanism, but through some constitutive form of determination. I myself have long been sympathetic to this idea of constitutive determination or ‘ontological ground’; and it is the aim of the present paper to help put the idea on a firmer (...)
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  • Armstrong on classes as states of affairs.Gideon Rosen - 1995 - Australasian Journal of Philosophy 73 (4):613 – 625.
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  • Truthmakers, entailment and necessity.Greg Restall - 1996 - Australasian Journal of Philosophy 74 (2):331 – 340.
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  • The Metaphysics of Identity: Is Identity Fundamental?Erica Shumener - 2017 - Philosophy Compass 12 (1):1-13.
    Identity and distinctness facts are ones like “The Eiffel Tower is identical to the Eiffel Tower,” and “The Eiffel Tower is distinct from the Louvre.” This paper concerns one question in the metaphysics of identity: Are identity and distinctness facts metaphysically fundamental or are they nonfundamental? I provide an overview of answers to this question.
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  • Frege, mill, and the foundations of arithmetic.Glenn Kessler - 1980 - Journal of Philosophy 77 (2):65-79.
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  • Truthmaker.John F. Fox - 1987 - Australasian Journal of Philosophy 65 (2):188 – 207.
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  • Truthmakers for negative truths, and for truths of mere possibility.D. M. Armstrong - 2007 - In Jean-Maurice Monnoyer (ed.), Metaphysics and Truthmakers. Pisctaway, NJ: Ontos Verlag. pp. 99.
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  • A Puzzle about Identity.Alexis Burgess - 2012 - Thought: A Journal of Philosophy 1 (2):90-99.
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  • (1 other version)Can Truthmaker Theorists Claim Ontological Free Lunches?Peter Https://Orcidorg288X Schulte - 2011 - European Journal of Philosophy 22 (2):249-268.
    Truthmaker theorists hold that propositions about higher-level entities (e.g. the proposition that there is a heap of sand) are often made true by lower-level entities (e.g. by facts about the configuration of fundamental particles). This generates a problem: what should we say about these higher-level entities? On the one hand, they must exist (since there are true propositions about them), on the other hand, it seems that they are completely superfluous and should be banished for reasons of ontological parsimony. Some (...)
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  • From Combinatorialism to Primitivism.Jennifer Wang - 2013 - Australasian Journal of Philosophy 91 (3):535-554.
    Many are reluctant to accept primitive modality into their fundamental picture of the world. The worry often traces to this thought: we shouldn't adopt any more primitive - that is, unexplained - notions than we need in order to explain all the features of the world, and primitive modal notions are not needed. I examine one prominent rival to modal primitivism, combinatorialism, and show that in order to account for all the modal features of the world the combinatorialist must adopt (...)
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  • Maoist mathematics?Geoffrey Hellman - 1998 - Philosophia Mathematica 6 (3):334-345.
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  • Truthmaking, entailment, and the conjunction thesis.Gonzalo Rodriguez-Pereyra - 2006 - Mind 115 (460):957-982.
    In this paper I undermine the Entailment Principle according to which if an entity is a truthmaker for a certain proposition and this proposition entails another, then the entity in question is a truthmaker for the latter proposition. I argue that the two most promising versions of the principle entail the popular but false Conjunction Thesis, namely that a truthmaker for a conjunction is a truthmaker for its conjuncts. One promising version of the principle understands entailment as strict implication but (...)
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  • Aristotle.Jonathan Barnes - 1982 - In Richard Mervyn Hare, Jonathan Barnes & Henry Chadwick (eds.), Founders of thought. New York: Oxford University Press.
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  • Necessary truth and proof.Stephen Read - 2010 - Kriterion: Journal of Philosophy 51 (121):47-67.
    What makes necessary truths true? I argue that all truth supervenes on how things are, and that necessary truths are no exception. What makes them true are proofs. But if so, the notion of proof needs to be generalized to include verification-transcendent proofs, proofs whose correctness exceeds our ability to verify it. It is incumbent on me, therefore, to show that arguments, such as Dummett's, that verification- truth is not compatible with the theory of meaning, are mistaken. The answer is (...)
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  • Against the aggregate theory of number.Peter M. Simons - 1982 - Journal of Philosophy 79 (3):163-167.
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  • The Possibility Principle and the Truthmakers for Modal Truths.Timothy Pawl - 2010 - Australasian Journal of Philosophy 88 (3):417-428.
    A necessary part of David Armstrong's account of truthmakers for modal truths is his Possibility principle: any truthmaker for a contingent truth is also a truthmaker for the possibility of the complement of that contingent truth (if T makes _p_ true and _p_ is contingent, then T makes ⋄∼_p_ true). I criticize Armstrong's Possibility principle for two reasons. First, his argument for the Possibility principle both relies on an unwarranted generalization and vitiates his desire for relevant truthmakers. His argument undercuts (...)
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  • Small sets.A. P. Hazen - 1991 - Philosophical Studies 63 (1):119 - 123.
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