Speaker:
Douglas S. Bridges
- University of Canterbury, Christchurch, New Zealand
Monday, May 2, 2016
at
5:00 PM
Seminario di Logica
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 for their subsequent 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 in the autumn of 2013.
In this talk I sketch some of the salient features of the substantially updated development of CMST over the last two-and-a-half years, paying particular attention to where the constructive theory deviates from Morse’s classical counterpart and to those results of the latter that are essentially nonconstructive.
- Place
-
Ca' Vignal - Piramide,
Floor 0,
Hall Verde
- Programme Director
-
Margherita
Zorzi
-
External reference
-
- Publication date
-
April 25, 2016
