Matias Kimi Slavov
Tampere University
Given the sharp distinction that follows from Hume’s Fork, the proper epistemic status of propositions of mixed mathematics seems to be a mystery. On the one hand, mathematical propositions concern the relation of ideas. They are intuitive and demonstratively certain. On the other hand, propositions of mixed mathematics, such as in Hume’s own example, the law of conservation of momentum, are also matter of fact propositions. They concern causal relations between species of objects, and, in this sense, they are not intuitive or demonstratively certain, but probable or provable. In this article, I argue that the epistemic status of propositions of mixed mathematics is that of matters of fact. I wish to show that their epistemic status is not a mystery. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle, unlike the propositions of pure mathematics.
Keywords Hume's Fork  Mixed Mathematics  Conservation of Momentum  Uniformity Principle
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DOI 10.1515/agph-2017-0004
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References found in this work BETA

Humes Reason.David Owen - 1999 - Oxford University Press.
Reason, Habit, and Applied Mathematics.David Sherry - 2009 - Hume Studies 35 (1-2):57-85.
Curious Virtues in Hume's Epistemology.Karl Schafer - 2014 - Philosophers' Imprint 14:1-20.

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