sometimes i wonder if leftists are just applying “ex contradictione sequitur quodlibet” a little too zealously
the two propositions don’t need to share a subject to use the disjunctive syllogism; ie from “x is red or y is green” and “x is not red” we conclude “y is green
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(as you note the preposterous thing is that you can draw inferences that have no common terms with the contradictory pair of premises)
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