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Platitudes in mathematics

Synthese 192 (6):1799-1820 (2015)

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  1. A metalinguistic and computational approach to the problem of mathematical omniscience.Zeynep Soysal - 2022 - Philosophy and Phenomenological Research 106 (2):455-474.
    In this paper, I defend the metalinguistic solution to the problem of mathematical omniscience for the possible-worlds account of propositions by combining it with a computational model of knowledge and belief. The metalinguistic solution states that the objects of belief and ignorance in mathematics are relations between mathematical sentences and what they express. The most pressing problem for the metalinguistic strategy is that it still ascribes too much mathematical knowledge under the standard possible-worlds model of knowledge and belief on which (...)
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  • Why the Canberra plan won’t help you do serious metaphysics.Raamy Majeed - 2018 - Synthese 195 (11):4865-4882.
    Jackson argues that conceptual analysis plays a modest, albeit crucial, role in ‘serious metaphysics’: roughly, the project of demystifying phenomena we take to be mysterious by locating them in the natural world. This defence of conceptual analysis is associated with ‘the Canberra Plan’, a philosophical methodology that has its roots in the works of both Lewis :427–446, 1970, Australas J Philos 50:249–258, 1972) and Jackson. There is, however, a distinction to be drawn between conceptual analysis, as it is typically employed (...)
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  • Philosophy of Mathematics for the Masses : Extending the scope of the philosophy of mathematics.Stefan Buijsman - 2016 - Dissertation, Stockholm University
    One of the important discussions in the philosophy of mathematics, is that centered on Benacerraf’s Dilemma. Benacerraf’s dilemma challenges theorists to provide an epistemology and semantics for mathematics, based on their favourite ontology. This challenge is the point on which all philosophies of mathematics are judged, and clarifying how we might acquire mathematical knowledge is one of the main occupations of philosophers of mathematics. In this thesis I argue that this discussion has overlooked an important part of mathematics, namely mathematics (...)
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