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Contextual definitions in nonextensional languages

Published online by Cambridge University Press:  12 March 2014

Gustav Bergmann*
Affiliation:
The State University of Iowa

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
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.