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A Lemma which Distinguishes Minimal Logics from Other Logics

Published online by Cambridge University Press:  22 January 2016

Katuzi Ono
Katuzi Ono*
Affiliation:
Mathematical Institute, Nagoya University
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In my joint work with J. Ito [7], we have pointed out that the following property (called ASSUMPTION REMOVABILITY) is characteristic of positive logics LO, LP, and LQ:

ASSUMPTION REMOVABILITY. If → is provable for any pair of propositions andhaving no primitive notions (proposition-, predicate-, and relation-symbols) in common, thenis also provable.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 28 , October 1966 , pp. 197 - 201
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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