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Contextual definitions in nonextensional languages

Published online by Cambridge University Press:  12 March 2014

Gustav Bergmann
Gustav Bergmann*
Affiliation:
The State University of Iowa
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Extract

The purpose of this note is to contribute to the discussion of nonextensional languages that is now in progress. A formal language, L, that contains, besides the lower functional calculus, predicates and predicate variables of higher type will here be called nonextensional if the sentence

Type
Articles
Information
The Journal of Symbolic Logic , Volume 13 , Issue 3 , December 1948 , pp. 140
Copyright
Copyright © Association for Symbolic Logic 1948

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References

1 The logical syntax of language, pp. 89–90. Carnap neglects to close the right side of (3) for the predicate variable. This leads to a difficulty if, in case ‘Ψ(χ)’ is false, a predicate ‘χ1’ for which ‘Ψ(χ1)’ is true is substituted for the variable.