Logic / Logic 100 · Atom · ~20 seconds
Rules Method: Quality Rules
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Rule 3: no syllogism with two negative premises is valid. Rule 4: a negative premise requires a negative conclusion, and vice versa.
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Two exclusions can't build a connection — that's Rule 3 in one line.
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Rule 4 cuts both directions. An affirmative conclusion from a negative premise fails just as hard as the reverse.