MIPC as the formalisation of an intuitionist concept of modality
- 1 December 1966
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 31 (4) , 609-616
- https://doi.org/10.2307/2269696
Abstract
In the course of a recent paper on modal' extensions of the intuitionist propositional calculus, [1], I made some suggestions as to the relationships between the system MIPC, the intuitionist predicate calculus, and the question of producing a genuine intuitionist concept of modality. This paper may be regarded as a clarification of those rather inaccurate ideas in the light of Kripke's outstanding analysis of the intuitionist predicate calculus, [2]. (I use Kripke's notation and terminology here without explanation — this work is intended to be read in conjunction with [2].) In particular, I shall adapt his interpretation of his modelling to give an account of MIPC in terms of differing mathematical intuitions.Keywords
This publication has 2 references indexed in Scilit:
- A modal extension of intuitionist logic.Notre Dame Journal of Formal Logic, 1965
- A completeness theorem in modal logicThe Journal of Symbolic Logic, 1959