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Gödel, mathematics, and possible worlds

Axiomathes 12 (3-4):355-363 (2001)

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  1. (1 other version)Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.
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  • Ideen zu einer reinen phänomenologie und phänomenologischen philosophie.Edmund Husserl - 1929 - Halle a.d. S.,: M. Niemeyer.
    Mit den "Ideen zu einer reinen Phänomenologie und phänomenologischen Philosophie" von 1913, von ihm selbst nur als eine "Allgemeine Einführung in die reine Phänomenologie" angezeigt, zog Edmund Husserl die Konsequenz aus seinen Logischen Untersuchungen (PhB 601), die ihn 1900/01 berühmt gemacht hatten: Ausgehend von der dort entwickelten Phänomenologie der intentionalen Erlebnisse sieht er jetzt in der Aufdeckung der Leistungen des "reinen Bewußtseins", dem die uns bekannte natürliche Welt nur als "Bewußtseinskorrelat" gegeben ist, den eigentlichen Gegenstand philosophischer Erkenntnis und in den (...)
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  • Logische Untersuchungen: Zweiter Band Untersuchungen zur Phänomenologie und Theorie der Erkenntnis.Edmund Husserl (ed.) - 1984 - Tübingen,: Springer.
    Klarheit in betreff dieser Sätze anstrebt, d. i. Einsicht in das Wesen der bei dem Vollzug und den ideal-möglichen Anwendungen solcher Sätze ins Spiel tretenden Erkenntnisweisen und der mit diesen sich wesensmäßig konstituierenden Sinngebungen und objektiven Gel- 1 11 S tungen • Sprachliche Erörterungen gehören r nun sicherlich zu den 1 r philosophisch I unerläßlichen Vorbereitungen für den Aufbau der [A 4] reinen Logik, weil nur durch ihre Mithilfe die eigentlichen Objekte der logischen Forschung und, in weiterer Folge, die wesentlichen (...)
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  • A Remark About the Relationship Between Relativity Theory and Idealistic Philosophy.Paul Arthur Schilpp & Kurt Gödel - 1949 - Harper & Row.
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  • A Logical Journey. From Gödel to Philosophy.Hao Wang - 1998 - Philosophy 73 (285):495-504.
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  • A Logical Journey: From Gödel to Philosophy.Hao Wang - 1996 - Bradford.
    Hao Wang was one of the few confidants of the great mathematician and logician Kurt Gödel. _A Logical Journey_ is a continuation of Wang's _Reflections on Gödel_ and also elaborates on discussions contained in _From Mathematics to Philosophy_. A decade in preparation, it contains important and unfamiliar insights into Gödel's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology. The impact of Gödel's theorem (...)
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  • Collected works.Kurt Gödel - 1986 - New York: Oxford University Press. Edited by Solomon Feferman.
    Kurt Godel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's (...)
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  • On Gödel.Jaakko Hintikka - 2000 - Cengage Learning.
    This brief text assists students in understanding Godel's philosophy and thinking so that they can more fully engage in useful, intelligent class dialogue and improve their understanding of course content. Part of the "Wadsworth Philosophers Series," (which will eventually consist of approximately 100 titles, each focusing on a single "thinker" from ancient times to the present), ON GODEL is written by a philosopher deeply versed in the philosophy of this key thinker. Like other books in the series, this concise book (...)
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  • Hartmann's rejection of the notion of evidence.Maria van der Schaar - 2001 - Axiomathes 12 (3-4):285-297.
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  • The modern development of the foundations of mathematics in the light of philosophy.Kurt Godel - unknown
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  • Reflections on Kurt Gödel.Hao Wang - 1990 - Bradford.
    In this first extended treatment of his life and work, Hao Wang, who was in close contact with Godel in his last years, brings out the full subtlety of Godel's ideas and their connection with grand themes in the history of mathematics and ...
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  • Husserl and Frege.J. N. MOHANTY - 1982 - Tijdschrift Voor Filosofie 46 (4):693-693.
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  • Why Husserl should have been a strong revisionist in mathematics.Mark van Atten - 2002 - Husserl Studies 18 (1):1-18.
    Husserl repeatedly has claimed that (1) mathematics without a philosophical foundation is not a science but a mere technique; (2) philosophical considerations may lead to the rejection of parts of mathematical practice; but (3) they cannot lead to mathematical innovations. My thesis is that Husserl's third claim is wrong, by his own standards.
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  • Logic, Truth and the Modalities: From a Phenomenological Perspective.J. N. Mohanty - 1999 - Dordrecht, Netherland: Springer Verlag.
    This volume is a collection of my essays on philosophy of logic from a phenomenological perspective. They deal with the four kinds of logic I have been concerned with: formal logic, transcendental logic, speculative logic and hermeneutic logic. Of these, only one, the essay on Hegel, touches upon 'speculative logic', and two, those on Heidegger and Konig, are concerned with hermeneutic logic. The rest have to do with Husser! and Kant. I have not tried to show that the four logics (...)
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  • On göde's philosophical assumptions.Jaakko Hintikka - 1998 - Synthese 114 (1):13-23.
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