Sentence examples for logical law from inspiring English sources

What experience, it might be asked, could lead anyone remotely to query the apparently adamantine logical law of excluded middle (that every proposition is necessarily either true or not true, and each thing either has or lacks any given property)?

Due to the failure of bivalence, the logical law of excluded middle fails for the dual negation ~.

More recent philosophical work shows that characterizing determinations can be constructed which go against any classical logical law.

But we have already shown above that this is no problem, because it does not violate any logical law.

Multiplication was interpreted as intersection, leading to his one new law, the idempotent law $XX = X$ for multiplication, rediscovering a logical law already formulated by Leibniz.

Actually, that dialetheism challenges the LNC needs qualification, since the LNC is accepted as a general logical law in the mainstream versions of the theory.

These worlds are therefore often called logically impossible worlds, as logical laws such as the Law of Non-Contradiction or the Law of Excluded Middle are assumed to be the most general and topic-neutral: they are supposed to hold at all possible worlds.

The insight behind this comes from the second definition of impossible worlds we met above, as worlds where logic is different, or where logical laws may fail.

The logically analytic true propositions are instances of logical laws.

He speaks of logic as preceding every discipline, in the sense that logical constants and logical laws are presupposed by and form part of every science.

Harold is stern, logical, law-abiding, repressed, and irritable; he expects life to be orderly and sane.