Talk:Introduction to Philosophical Logic/Consistency and Inconsistency

I think that it needs adding that in logic two propositions are inconsistent if both can't be true but both can be false. This is needed to distinguish a contradiction from an inconsistency.

So 'All swans are white' is inconsistent with 'No swan is white'; both can't be true, but both can be and are false.

Rosa Lichtenstein (discuss • contribs) 11:57, 12 November 2011 (UTC)

Worth noting that the "Would that..." construction is based on an archaic equivalence between "would" and "wish" and an idiomatic omission of implicit subject "I", so the sentence actually reads "(I) (wish) that...". Completing the grammatical construction makes it a statement that can be evaluated for truth ("Is it true that I wish that...?"), even if it depends on the subjective input of the speaker.

50.250.214.91 (discuss) 22:25, 5 October 2018 (UTC)