Contradictories cannot both be true or both false:
Every student is present / At least one student is not present.
Contraries can both be false:
Every student is present / No student is present.
If some students are present and others absent, both universal claims are false. This distinction is an additional clarification using standard logical examples.
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Contradictory versus contrary
Contradiction and the Eight Conditions
Contradictories cannot both be true or both false:
Every student is present / At least one student is not present.
Contraries can both be false:
Every student is present / No student is present.
If some students are present and others absent, both universal claims are false. This distinction is an additional clarification using standard logical examples.