Sentence examples for material conditional of from inspiring English sources

Regardless of the exact formulation, none of these counterfactuals are satisfied by the material conditional of clause (ii) as it appears in the simple mapping account of computation.

A default rule then can be written in the form: ∀x((F x) & ¬ abi(x) ) → G x)), where "→" is the ordinary material conditional of classical logic.

This gives rise to a problem for the compositionality of English, since is seems rather plausible that the syntactic structure of (1) and (2) is the same and that 'if' contributes some sort of conditional connective not necessarily a material conditional!—to the meaning of (1).

Matters are not much better if one requires the material conditional to be a logical truth.

That is, we are not to understand PF judgments as having the form of a material conditional.

For the Curry paradox is most important where the conditional is more than the material conditional (or some modalized variant of it).

The axiom MP, for modus ponens states a connection between the material conditional and the more general notion of conditionality encoded by '>'.

It is now virtually universally acknowledged that Chisholm was right: the sort of conditional deontic claim expressed in (3) can't be faithfully represented in SDL, nor more generally by a composite of some sort of unary deontic operator and a material conditional.

The second part of (ii) is a material conditional.

Default conditionals are not allowed to be nested within other default conditionals, or within the scope of the usual Boolean operators of propositional logic (negation, conjunction, disjunction, material conditional).

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.