Ideas from 'On the Algebra of Logic' by Charles Sanders Peirce [1895], by Theme Structure

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10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Truth-functional conditionals have a simple falsification, when A is true and B is false
                        Full Idea: The utility of [truth-functional conditionals] is that it puts us in possession of a rule...[namely] The hypothetical proposition may be ...falsified by a single state of things, but only by one in which A [antecedent] is true and B [consequent] is false.
                        From: Charles Sanders Peirce (On the Algebra of Logic [1895], p.218), quoted by Stephen Mumford - Dispositions
                        A reaction: Personally I am rather more interested in verifying conditionals than in falsifying them. I certainly don't accept them until they are falsified, unless they have massive support from surrounding facts.