The dissolution of a reflectional relationship. (English) Zbl 0842.00007

Tichy, Matthias

Puhl, Klaus (ed.), Wittgenstein’s philosophy of mathematics. Proceedings of the 15th international Wittgenstein-Symposium, 16-23 August 1992, Kirchberg am Wechsel, Austria. Part II. Wien: Hölder-Pichler-Tempsky. Schriftenreihe der Wittgenstein-Gesellschaft. 20/II, 144-150 (1993).

Wittgenstein’s opinion (as the author puts it) that the relation between mathematics and philosophy is no “relationship of reciprocal explication” (p. 144) but of a “reflectionless juxtaposition” (p. 145) is discussed. According to Wittgenstein there is no need of a philosophical justification in mathematics and philosophy is in no greater need of mathematics than of any other knowledge in order to elucidate its subject and method.
For the entire collection see [Zbl 0836.00023].

Reviewer: V.Peckhaus (Erlangen)

MSC:

00A30

Philosophy of mathematics

Keywords:

relation between mathematics and philosophy; Wittgenstein