Infinitary logic and admissible sets
- 25 July 1969
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 34 (2) , 226-252
- https://doi.org/10.2307/2271099
Abstract
In recent years much effort has gone into the study of languages which strengthen the classical first-order predicate calculus in various ways. This effort has been motivated by the desire to find a language which is (I) strong enough to express interesting properties not expressible by the classical language, but (II) still simple enough to yield interesting general results. Languages investigated include second-order logic, weak second-order logic, ω-logic, languages with generalized quantifiers, and infinitary logic.Keywords
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