An Observation Concerning Porte’s Rule in Modal Logic
Bulletin of the Section of Logic, Tome 44 (2015) no. 1-2
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It is well known that no consistent normal modal logic contains (as theorems) both ◊A and ◊¬A (for any formula A). Here we observe that this claim can be strengthened to the following: for any formula A, either no consistent normal modal logic contains ◊A, or else no consistent normal modal logic contains ◊¬A.
@article{BSL_2015_44_1-2_a0,
author = {French, Rohan and Humberstone, Lloyd},
title = {An {Observation} {Concerning} {Porte{\textquoteright}s} {Rule} in {Modal} {Logic}},
journal = {Bulletin of the Section of Logic},
year = {2015},
volume = {44},
number = {1-2},
url = {http://geodesic.mathdoc.fr/item/BSL_2015_44_1-2_a0/}
}
French, Rohan; Humberstone, Lloyd. An Observation Concerning Porte’s Rule in Modal Logic. Bulletin of the Section of Logic, Tome 44 (2015) no. 1-2. http://geodesic.mathdoc.fr/item/BSL_2015_44_1-2_a0/