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A Remark on Peirce’s Law

Published online by Cambridge University Press:  22 January 2016

Tosiyuki Tugué  and
Shûrô Nagata
Tosiyuki Tugué
Affiliation:
Nagoya University
Shûrô Nagata
Affiliation:
Nagoya University
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Before stating the purpose, we explain some propositional logics treated in this paper. The logical symbols we use are: implication →, conjunction ∧, disjunction ∨, and the propositional constant ⋏ denoting contradiction.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 33 , November 1968 , pp. 1 - 5
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

[1] Miura, S. and Nagata, S.. Certain method for generating a series of logics, Nagoya Math. J., Vol. 31 (1968), 125–129.Google Scholar
[2] Nagata, S.. A series of successive modifications of Peirce’s rule, Proc. Japan Acad., Vol. 42 (1966), 859–861.Google Scholar
[3] Ono, K.. On universal character of the primitive logic, Nagoya Math. J., Vol. 27 (1966), 331–353.Google Scholar
[4] Troelstra, A.S.. On intermediate propositional logics, Indag. Math., Vol. 27 (1965), 141–152.Google Scholar
[5] Tugué, T.. A lemma for negationless propositional logics and its applications, Nagoya Math. J., Vol. 30 (1967), 303–308.Google Scholar