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  1. Logic and philosophy of mathematics in the early Husserl.Stefania Centrone - 2010 - New York: Springer.
    This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to ...
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  • Platonism, phenomenology, and interderivability.Guillermo E. Rosado Haddock - 2010 - In Mirja Hartimo (ed.), Phenomenology and mathematics. London: Springer. pp. 23--46.
  • On the philosophical development of Kurt gödel.Mark van Atten & Juliette Kennedy - 2003 - Bulletin of Symbolic Logic 9 (4):425-476.
    It is by now well known that Gödel first advocated the philosophy of Leibniz and then, since 1959, that of Husserl. This raises three questions:1.How is this turn to Husserl to be interpreted? Is it a dismissal of the Leibnizian philosophy, or a different way to achieve similar goals?2.Why did Gödel turn specifically to the later Husserl's transcendental idealism?3.Is there any detectable influence from Husserl on Gödel's writings?Regarding the first question, Wang [96, p.165] reports that Gödel ‘[saw] in Husserl's work (...)
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  • Gödel, mathematics, and possible worlds.Mark van Atten - 2001 - Axiomathes 12 (3-4):355-363.
  • Brouwer, as never read by Husserl.Mark van Atten - 2003 - Synthese 137 (1-2):3-19.
    Even though Husserl and Brouwer have never discussed each other's work, ideas from Husserl have been used to justify Brouwer's intuitionistic logic. I claim that a Husserlian reading of Brouwer can also serve to justify the existence of choice sequences as objects of pure mathematics. An outline of such a reading is given, and some objections are discussed.
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  • On Kant and Husserl on transcendental logic.Mohammad Shafiei & Ahmad Ali Akbar Mesgari - 2020 - Synthese 198 (12):11881-11896.
    It is well known that the notion of transcendental logic has a prominent role in both Kant’s and Husserl’s theories of knowledge. The main aim of the present paper is to study the links between formal and transcendental logic in Husserl on the one hand, and the links between general logic and transcendental logic in Kant on the other. There is a debate about the proper relation between transcendental logic and general logic in Kant’s philosophy. By means of our definition (...)
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  • 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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  • 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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  • Husserl’s Transcendentalization of Mathematical Naturalism.Mirja Hartimo - 2020 - Journal of Transcendental Philosophy 1 (3):289-306.
    The paper aims to capture a form of naturalism that can be found “built-in” in phenomenology, namely the idea to take science or mathematics on its own, without postulating extraneous normative “molds” on it. The paper offers a detailed comparison of Penelope Maddy’s naturalism about mathematics and Husserl’s approach to mathematics in Formal and Transcendental Logic. It argues that Maddy’s naturalized methodology is similar to the approach in the first part of the book. However, in the second part Husserl enters (...)
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