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  1. Of Marriage and Mathematics: Inferentialism and Social Ontology.James Henry Collin - 2023 - Topoi 42 (1):247-257.
    The semantic inferentialist account of the social institution of semantic meaning can be naturally extended to account for social ontology. I argue here that semantic inferentialism provides a framework within which mathematical ontology can be understood as social ontology, and mathematical facts as socially instituted facts. I argue further that the semantic inferentialist framework provides resources to underpin at least some aspects of the objectivity of mathematics, even when the truth of mathematical claims is understood as socially instituted.
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  • Semantic inferentialism as (a Form of) active externalism.Adam Carter, James H. Collin & Orestis Palermos - 2017 - Phenomenology and the Cognitive Sciences 16 (3):387-402.
    Within contemporary philosophy of mind, it is taken for granted that externalist accounts of meaning and mental content are, in principle, orthogonal to the matter of whether cognition itself is bound within the biological brain or whether it can constitutively include parts of the world. Accordingly, Clark and Chalmers (Analysis 58(1):7–19, 1998) distinguish these varieties of externalism as ‘passive’ and ‘active’ respectively. The aim here is to suggest that we should resist the received way of thinking about these dividing lines. (...)
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  • Anti-Naturalistic Arguments From Reason.Graham Oppy - 2022 - Roczniki Filozoficzne 70 (1):15-35.
    This paper discusses a wide range of anti-naturalistic argument from reason due to Balfour, Haldane, Joad, Lewis, Taylor, Moreland, Plantinga, Reppert, and Hasker. I argue that none of these arguments poses a serious challenge to naturalists who are identity theorists. Further, I argue that some of these arguments do not even pose prima facie plausible challenges to naturalism. In the concluding part of my discussion, I draw attention to some distinctive differences between Hasker’s anti-naturalistic arguments and the other anti-naturalistic arguments (...)
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  • Global Debunking Arguments.Andrew Moon - 2023 - In Diego E. Machuca (ed.), Evolutionary Debunking Arguments: Ethics, Philosophy of Religion, Philosophy of Mathematics, Metaphysics, and Epistemology. Routledge.
    This chapter explores global debunking arguments, debunking arguments that aim to give one a global defeater. I defend Alvin Plantinga’s view that global defeaters are possible and, once gained, are impossible to escape by reasoning. They thereby must be extinguished by other means: epistemically propitious actions, luck, or grace. I then distinguish between three types of global defeater—pure-undercutters, undercutters-because-rebutters, and undercutters-while-rebutters—and systematically consider how one can deflect such defeaters. Lastly, since I draw insights from the literature on perhaps the most (...)
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