Monads and Mathematics: Gödel and Husserl

Axiomathes 22 (1):31-52 (2012)
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Abstract

In 1928 Edmund Husserl wrote that “The ideal of the future is essentially that of phenomenologically based (“philosophical”) sciences, in unitary relation to an absolute theory of monads” (“Phenomenology”, Encyclopedia Britannica draft) There are references to phenomenological monadology in various writings of Husserl. Kurt Gödel began to study Husserl’s work in 1959. On the basis of his later discussions with Gödel, Hao Wang tells us that “Gödel’s own main aim in philosophy was to develop metaphysics—specifically, something like the monadology of Leibniz transformed into exact theory—with the help of phenomenology.” (A Logical Journey: From Gödel to Philosophy, p. 166) In the Cartesian Meditations and other works Husserl identifies ‘monads’ (in his sense) with ‘transcendental egos in their full concreteness’. In this paper I explore some prospects for a Gödelian monadology that result from this identification, with reference to texts of Gödel and to aspects of Leibniz’s original monadology

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Citations of this work

Hilbert mathematics versus (or rather “without”) Gödel mathematics: V. Ontomathematics!Vasil Penchev - forthcoming - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN).
Gödel’s Cantorianism.Claudio Ternullo - 2015 - In E.-M. Engelen (ed.), Kurt Gödel: Philosopher-Scientist. Presses Universitaires de Provence. pp. 417-446.
Arithmetic, Mathematical Intuition, and Evidence.Richard Tieszen - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):28-56.

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References found in this work

Cartesian meditations.Edmund Husserl - 1960 - [The Hague]: M. Nijhoff.
Erste Philosophie.Edmund Husserl & Rudolf Boehm - 1956 - Martiuns Nijhoff.
What is Cantor's Continuum Problem?Kurt Gödel - 1947 - The American Mathematical Monthly 54 (9):515--525.
Monadology.Gottfried Wilhelm Leibniz - 1991 - Routledge. Edited by N. Rescher.

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