Sentence examples for conditional is false from inspiring English sources

And in this case, when people are asked to say what is the probability that the conditional is false, they respond in a conjunctive way, too.

And in the same way, the probability that the conditional is false should correspond to the ratio between the number of cases that make the conditional false, divided by the number of cases that are relevant for truth value.

But on Hook's account, the conditional is false only if the consequent is false.

This is easy: in such a model, the antecedent is false, and inspection of the above Strong Kleene table shows that when the antecedent of a conditional is false, the conditional is true, as would be the case classically.

Philo maintained that a conditional is false when and only when its antecedent is true and its consequent false, and true in the three remaining cases: whenever the antecedent is false, and when both antecedent and consequent are true (SE, Against the Logicians 2.113-114).

Philo, who may be credited with introducing truth-functionality into logic, provided the following criterion for their truth: A conditional is false when and only when its antecedent is true and its consequent is false, and it is true in the three remaining truth-value combinations.

While there is no one conditional premise of the conditional form which is false, it is nonetheless true according to supervaluation theory that some conditional is.

The conditional is clearly false.

As with all conditional claims, if the antecedent is false, then the entire claim is invalidated.

Given their acceptance of the principle of bivalence and their presentation of the argument as invoking a material conditional, they blocked the sorites by claiming some one conditional to be false (since not true) and that there comes a point in any sorites series where the relevant predicate ceases to apply and its negation does.

This is classically valid (if p fails, p is false, and conditionals with false antecedents are true), but invalid in intuitionistic logic.