Sentence examples for presupposition fails from inspiring English sources
When the third presupposition fails, the why-question has no answer even if it arises.
If this presupposition fails, a statement may be made but the question of its truth value fails to arise.
When the first or second presupposition fails (because the contextually determined body of background knowledge in play does not entail both (i) and (ii)), the why-question does not arise.
Indeed, it would be a bit of a nuisance if it turned out that that some expressions or constructions trigger their presuppositions on a part-time basis, because then we would have two ways of explaining why a given presupposition fails to appear: either it has projected to an embedded context or it wasn't triggered in the first place.
The analysis presupposes that, for any E, there is exactly one such price — let's call this the agent's fair price for the bet on E. This presupposition may fail.
In both cases, the suggestion is that the thoughts at issue involve a mistake or a failed presupposition, and that, because of this, they cannot be true.
If the expressions fail to refer, then there is a presupposition failure and the utterance fails to have a determinate truth value.
Similarly, being male has presupposition ⊤ and assertion m, so the program male is defined as ⊥? ; abort ∪ m?, which reduces to m? What this says is that male is a program without presupposition (the program never aborts), whereas bachelor does have a presupposition (the program aborts if the test m ∧ a fails).
In Invert's and Nonvert's community, that presupposition is false, and so it should not be surprising if the attempt to introduce '\(Q_{R}\)' into their public language fails.
Thus, if we take presupposition failure as our example, the suggestion is that instead of supposing that the proposition that the present King of France is bald does not have a truth value if the King of France does not exist, one should rather suppose that the sentence 'the present King of France is bald' does not express a proposition, and therefore fails to have a truth value.
