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the claim
In modern logic, 'All S is P' contradicts 'Some S is not P'
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
no sources on either side

In traditional Aristotelian and modern logic, the universal affirmative statement ('All S is P') and the particular negative statement ('Some S is not P') are contradictory and cannot both be true at the same time.

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The analysis

The claim is a fundamental, textbook definition within standard symbolic and Aristotelian logic regarding the square of opposition. None of the retrieved papers discuss logic square relations; they cover unrelated topics like biomimetic robotics, routing algorithms, traditional sports, and machine psychology. Therefore, this is common knowledge that requires no citation.

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first checked04 Aug 2026
judged → COMMON KNOWLEDGE · 9504 Aug 2026
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