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  1. A defense of Isaacson’s thesis, or how to make sense of the boundaries of finite mathematics.Pablo Dopico - 2024 - Synthese 203 (2):1-22.
    Daniel Isaacson has advanced an epistemic notion of arithmetical truth according to which the latter is the set of truths that we grasp on the basis of our understanding of the structure of natural numbers alone. Isaacson’s thesis is then the claim that Peano Arithmetic (PA) is the theory of finite mathematics, in the sense that it proves all and only arithmetical truths thus understood. In this paper, we raise a challenge for the thesis and show how it can be (...)
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