Functions of Propositions

Author:

Cresswell M. J.

Abstract

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).

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference20 articles.

1. Prepositional functions;Smiley;Proceedings of the Aristotelian Society,1960

2. Quantification and modality;Prior;Notre Dame Journal of Formal Logic,1963

3. A formulation of the simple theory of Types;Church;this Journal,1940

4. On the formalization of indirect discourse;Goodstein;this Journal,1958

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Classical intensional logics;Theoria;2008-02-11

2. Adverbial Modification in Situation Semantics;Adverbial Modification;1985

3. The Autonomy of Semantics;Processes, Beliefs, and Questions;1982

4. Quotational theories of propositional attitudes;Journal of Philosophical Logic;1980-02

5. Abolition of the fregean axiom;Lecture Notes in Mathematics;1975

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