Consider this argument:
Conditional premise: If the sun has risen, daytime is present.
Exceptive premise: But the sun has risen.
Conclusion: Therefore daytime is present.
The first premise relates antecedent and consequent. The second affirms the antecedent, so the consequent follows.
Crucially, the conclusion does not merely repeat the second premise; the conditional connection allows a different claim to be established.
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Exceptive Syllogism: Valid Inferences from Connected and Disjunctive Conditionals
Consider this argument:
Conditional premise: If the sun has risen, daytime is present.
Exceptive premise: But the sun has risen.
Conclusion: Therefore daytime is present.
The first premise relates antecedent and consequent. The second affirms the antecedent, so the consequent follows.
Crucially, the conclusion does not merely repeat the second premise; the conditional connection allows a different claim to be established.