Monads and mathematics

Godel and Husserl

Richard Tieszen

pp. 31-52

in: Guillermo Rosado Haddock (ed), The other Husserl, Axiomathes 22 (1), 2012.

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.

Cited authors

Husserl Edmund

Leibniz Gottfried Wilhelm

Gödel Kurt

Wang Hao