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Construction and Constitution in Mathematics

In Stefania Centrone (ed.), Essays on Husserl’s Logic and Philosophy of Mathematics. Dordrecht, Netherland: Springer Verlag (2017)

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  1. Propositions as Intentions.Bruno Bentzen - 2023 - Husserl Studies 39 (2):143-160.
    I argue against the interpretation of propositions as intentions and proof-objects as fulfillments proposed by Heyting and defended by Tieszen and van Atten. The idea is already a frequent target of criticisms regarding the incompatibility of Brouwer’s and Husserl’s positions, mainly by Rosado Haddock and Hill. I raise a stronger objection in this paper. My claim is that even if we grant that the incompatibility can be properly dealt with, as van Atten believes it can, two fundamental issues indicate that (...)
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  • (1 other version)Phenomenology, anti‐realism, and the knowability paradox.James Kinkaid - 2022 - European Journal of Philosophy 30 (3):1010-1027.
    Husserl endorses ideal verificationism, the claim that there is a necessary correlation between truth and the ideal possibility of experience. This puts him in the company of semantic anti-realists like Dummett, Tennant, and Wright who endorse the knowability thesis that all truths are knowable. Unfortunately, there is a simple, seductive, and troubling argument due to Alonzo Church and Frederic Fitch that the knowability thesis collapses into the omniscience thesis that all truths are known. Phenomenologists should be worried. I assess the (...)
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  • (1 other version)Phenomenology, anti‐realism, and the knowability paradox.James Kinkaid - 2022 - European Journal of Philosophy 30 (3):1010-1027.
    European Journal of Philosophy, Volume 30, Issue 3, Page 1010-1027, September 2022.
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