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  1. Logic, mathematics, physics: from a loose thread to the close link: Or what gravity is for both logic and mathematics rather than only for physics.Vasil Penchev - 2023 - Astrophysics, Cosmology and Gravitation Ejournal 2 (52):1-82.
    Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...)
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  • Kant, Gödel and Relativity.Mauro Dorato - 2002 - In Gardenfors, Wolenski & Katarzina Kijania-Placek (eds.), In the Scope of Logic, Methodology and Philosophy of Science, Proceedings of the Invited Lectures for the 11th International Congress of Logic Methodology and Philosophy of Science. Dordrecht: Kluwer. pp. 331-348..
    Since the onset of logical positivism, the general wisdom of the philosophy of science has it that the kantian philosophy of (space and) time has been superseded by the theory of relativity, in the same sense in which the latter has replaced Newton’s theory of absolute space and time. On the wake of Cassirer and Gödel, in this paper I raise doubts on this commonplace by suggesting some conditions that are necessary to defend the ideality of time in the sense (...)
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  • On Becoming, Cosmic Time and Rotating Universes.Mauro Dorato - 2002 - Royal Institute of Philosophy Supplement 50:253-276.
    In the literature on the compatibility between the time of our experience and the time of physics, the special theory of relativity has enjoyed central stage. By bringing into the discussion the general theory of relativity, I suggest a new analysis of the misunderstood notion of becoming, developed from hints in Gödel's published and unpublished arguments for the ideality of time. I claim that recent endorsements of such arguments, based on Gödel's own ‘rotating’ solution to Einstein's field equation, fail: once (...)
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  • Tiden og døden.Truls Wyller - 2018 - Norsk Filosofisk Tidsskrift 53 (1):06-18.
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  • Twins' Paradox and Closed Timelike Curves: The Role of Proper Time and the Presentist View on Spacetime.Cord Friebe - 2012 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 43 (2):313-326.
    Relativity allegedly contradicts presentism, the dynamic view of time and reality, according to which temporal passage is conceived of as an existentially distinguished ‘moving’ now. Against this common belief, the paper motivates a presentist interpretation of spacetime: It is argued that the fundamental concept of time—proper time—cannot be characterized by the earlier-later relation, i.e., not in the B-theoretical sense. Only the presentist can provide a temporal understanding of the twins’ paradox and of universes with closed timelike curves.
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  • Gödel, Kant, and the Path of a Science.Srećko Kovač - 2008 - Inquiry: Journal of Philosophy 51 (2):147-169.
    Gödel's philosophical views were to a significant extent influenced by the study not only of Leibniz or Husserl, but also of Kant. Both Gödel and Kant aimed at the secure foundation of philosophy, the certainty of knowledge and the solvability of all meaningful problems in philosophy. In this paper, parallelisms between the foundational crisis of metaphysics in Kant's view and the foundational crisis of mathematics in Gödel's view are elaborated, especially regarding the problem of finding the “secure path of a (...)
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