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On intermediate propositional logics

Published online by Cambridge University Press:  12 March 2014

Toshio Umezawa
Toshio Umezawa*
Affiliation:
Nagoya University, Nagoya, Japan
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Extract

By intermediate prepositional logics we mean prepositional logics between the intuitionistic and classical logics.

K. Gödel [1] proved that there is a set of intermediate prepositional logics which possesses the order type ω. The method enables us to define intermediate logics in terms of axioms and rules of inference. We shall call it the axiomatic method.

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 24 , Issue 1 , March 1959, pp. 20 - 36
Copyright
Copyright © Association for Symbolic Logic 1959

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References

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