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Sentences true in all constructive models

Published online by Cambridge University Press:  12 March 2014

R. L. Vaught
R. L. Vaught*
Affiliation:
University of California, Berkeley
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Let P0, …,Pq be predicates, of which at least one has two or more places. By a formula in P0, …, Pq (or simply a formula, when the list P0, …, Pq is fixed, as in this section) is meant any formula whose only symbols, other than sentential connectives, quantifiers, and (individual) variables, are among P0, …, Pq. A realization (or possible model) of such a formula is a system where A is a non-empty set and each Pk is a relation among the elements of A, having the same number of places as Pk.

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Type
Research Article
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The Journal of Symbolic Logic , Volume 25 , Issue 1 , March 1960, pp. 39 - 53
Copyright
Copyright © Association for Symbolic Logic 1960

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