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The pure calculus of entailment1

Published online by Cambridge University Press:  12 March 2014

Alan Ross Anderson  and
Nuel D. Belnap Jr.
Alan Ross Anderson
Affiliation:
Yale University
Nuel D. Belnap Jr.
Affiliation:
Yale University
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Extract

The “implicational paradoxes” are treated by most contemporary logicians somewhat as follows:

“The two-valued prepositional calculus sanctions as valid many of the obvious and satisfactory inferences which we recognize intuitively as valid, such as

(A→.B→C)→.A→B→.A→C,2

and

A→B→.B→C→.A→C;

it consequently suggests itself as a candidate for a formal analysis of implication.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 27 , Issue 1 , March 1962 , pp. 19 - 52
Copyright
Copyright © Association for Symbolic Logic 1962

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Footnotes

1

This research was supported in part by the Office of Naval Research, Group Psychology Branch, Contract No. SAR/Nonr-609(16). Permission is granted for reproduction, translation, publication, and disposal in whole or in part by or for the U. S. Government.

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