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Dictionary
material conditional
noun
A conditional statement in the indicative mood.
synonyms
Exact(34)
But given the truth-conditions for the material conditional "→", that just amounts to saying p is true at all those i-accessible worlds (if any) where d is true, which in turn holds iff p is true at all the i-accessible worlds falling within DEM, i.e., at their intersection (which is non-empty by strong seriality).
where '→' is the standard material conditional.
The second part of (ii) is a material conditional.
The idea is that every conditional entails the corresponding material conditional.
Matters are not much better if one requires the material conditional to be a logical truth.
When working with propositional logic, we often translate ordinary 'If …then …' statements using the material conditional, \(\supset\).
Similar(26)
Reliance upon material conditionals within first-order symbolic logic, moreover, forfeits the benefits of synthetic subjunctives.
He focused on universally quantified material conditionals, exemplified by sentences of the form, "(x)(Rx ⊃ Bx)".
Following Hempel, we will take universally quantified material conditionals as canonical logical representations of relevant hypotheses.
Both inferences are valid for strict (logical or material) conditionals, but they are not generally correct for non-strict conditionals.
Even in the case of material conditionals, the only falsifying instances are those that combine the truth of their antecedents with the falsity of their consequents.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com