Topic summary
Contradictory
Extracted from the Wikipedia article Law of noncontradiction.
History
Early in philosophy, it is hard to distinguish between different conceptions of the law of non-contradiction. One can interpret a logical law ontologically, e. g. to say nothing in reality is contradictory; one can interpret it psychologically, to say one cannot believe in a contradiction, and one can interpret it more strictly logically, that contradictory propositions cannot be true.