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Functions of Propositions

Published online by Cambridge University Press:  12 March 2014

M. J. Cresswell
M. J. Cresswell*
Affiliation:
Victoria University of Wellington
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Extract

In [1] (p. 131 et seq) Professor A. N. Prior suggests a calculus of functions of propositions in which the range of the function variables is not restricted to truth functions.1 If f, g, … etc. represent such variables and we have quantification over all variables we can introduce propositional identity by definition as (ƒ)(ƒp ⊃ ƒq) Alternatively identity may be primitive with the usual axioms and schemata (v.e.g. [4] p. 190 et seq). We shall refer to such systems as ‘functorial calculi’2 (abbreviated as FC).

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 31 , Issue 4 , December 1966 , pp. 545 - 560
Copyright
Copyright © Association for Symbolic Logic 1997

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References

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