Department Mathematik



Mathematisches Kolloquium

Am Donnerstag, 22. Mai 2014, um 16:30 Uhr spricht

Douglas Bridges
(Universität Canterbury, Neuseeland)

im HS A027 über das Thema

Morse Set Theory as a Foundation for Constructive Mathematics

Zusammenfassung: In the northern autumn of 1972, I came across A.P. Morse's little book `A Theory of Sets', and became absorbed by the idea of carrying through a constructive development of set theory CMST along the same lines, in which everything was expressed in a kind of pseudocode governed by strict rules of language and notation. Such a development would seem to be particularly suitable for the extraction of programs from proofs, and their subsequence implementation. Chapter 1 of my D.Phil. thesis (Oxford, 1974) contained the fruits of my labours to that stage. After that, despite a brief foray into CMST for a conference paper in 1986, my plan to develop the set theory in greater depth was shelved until taken up again late last year. In this talk I sketch some of the salient features of this updated development of CMST, paying particular attention to where it deviates from Morse's classical theory and to those results of the latter that are essentially nonconstructive.
Alle Interessierten sind hiermit herzlich eingeladen. Eine halbe Stunde vor dem Vortrag gibt es Kaffee und Tee im Sozialraum (Raum 448) im 4. Stock.
Treffpunkt zum Abendessen um 18.00 Uhr wird noch bekannt gegeben.