material implication

Real estate developers will find the program's material implications of greater interest.

For other uses of the term see Material implication (disambiguation).

The first operation, x y, or Cxy, is called material implication.

It is Mr. Murray's job to plan for the material implications of these changes.

Material implication allows a true consequent to follow from a false antecedent.

It is contentious in the literature whether the material implication represents logical causation.

The following statement, for example, is not correctly formalized by material implication:

Since that date certain material implications have followed for those subgroups and school subjects promoting or representing the academic tradition.

The material implication rule may be written in sequent notation:

The strict conditionals may avoid paradoxes of material implication.

To prove that contrapositives are logically equivalent, we need to understand when material implication is true or false.

Classical propositional logic usually has a connective to denote material implication.

In defense of material implication.

However, the direct encoding of this formula in classical logic using material implication leads to:

This is in contradistinction to the form of the propositions of transposition, which may be material implication, or a hypothetical statement.

The symbol for material nonimplication is simply a crossed-out material implication symbol.

This truth-functional interpretation of implication is called material implication or material conditional.

In this sense the use the term "contraposition" is usually referred to by "transposition" when applied to hypothetical propositions or material implications.

These are analogous to the rules relating boolean conjunctives and material implication in classical propositional logic.

Material implication may refer to:

In addition, there are serious problems with trying to use material implication as representing the English "if ... then ...".

(The implication arrow denotes material implication in the metalanguage.)

Material implication (disambiguation)

Lewis proposed to replace material implication with strict implication, such that a false antecedent can never strictly imply a true consequent.

Connexive logic names one class of alternative, or non-classical, logics designed to exclude the so-called paradoxes of material implication.