The notion of the material implication
is the reference for the semantic definition of conditional constructions.
The heterogeneity in generators' responses of fuel consumption to fuel price has material implication
for carbon dioxide emissions.
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
According to this analysis, if the material implication
from a sentence "p" to the sentence "q" is a tautology, then the fact q is a consequence of the fact p and the other way around.
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.
To derive the instances, an additional principle is needed, such as McGrath's principle of material implication
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.
Horwich allows himself the resources of a material implication
relations between propositions and a notion of broadly logical necessity that is not understood in terms of truth.
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.
He discusses narrative and time, Old Assyrian time, narrative and context, and the material implications
of Old Assyrian commercial time.