material implication


Also found in: Encyclopedia.

material implication

n
1. (Logic) the truth-functional connective that forms a compound sentence from two given sentences and assigns the value false to it only when its antecedent is true and its consequent false, without consideration of relevance; loosely corresponds to the English if … then
2. (Logic) a compound sentence formed with this connective
References in periodicals archive ?
This paper extends the defense of a simple theory of indicative conditionals previously proposed by the author, in which the truth conditions are material, and Grice-style assertability conditions are given to explain the paradoxes of material implication.
To avoid some pitfalls of Lukasiewicz's construction Field introduces a special conditional beside material implication.
A distinction is made between material implication, represented by the symbol [contains], and strict implication, represented by [right arrow].
It is noteworthy that he succeeds in introducing implication as material implication ([right arrow]) in a very convincing way.
Rosenthal discusses Lewis' groundbreaking work in logic, which originated from his objections to the concept of material implication and its development in the extensional logic of Russell and Whitehead's Principia Mathematica.
The main target of their criticism was what used to be called material implication, and the gravamen of their charge was that the connection between two propositions one of which logically implies the other cannot be established merely by virtue of the falsity of the antecedent proposition or the truth of the consequent one.
The data extracted from this core can have material implications with respect to prospectivity within our acreage and can possibly shape the industry's perspective of the Haynesville Shale in Mississippi.
We do very detailed research into several global themes which we believe may have material implications for business, and make this research available (www.
It's the energy and material implications of economic growth, rather than economic growth per se, that is the problem,' Foran says.
Such decisions have material implications for the property sector with regard to rental growth, capital values and development activity.
Full browser ?