Identify the exact assertion before forming its contradictory.
1. “Every student is present” → “Some student is not present.” One absence refutes the universal.
2. “No bird flies” → “Some bird flies.” One flying bird is sufficient.
3. “Zayd is at home today” → “Zayd is not at home today,” provided the same relevant time within the day is intended.
4. “This door is always closed” → “At some relevant time this door is not closed.”
In each case the full scope of the original claim is preserved.
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Contradiction: Definition, Conditions and Application to Propositions
Identify the exact assertion before forming its contradictory.
1. “Every student is present” → “Some student is not present.” One absence refutes the universal.
2. “No bird flies” → “Some bird flies.” One flying bird is sufficient.
3. “Zayd is at home today” → “Zayd is not at home today,” provided the same relevant time within the day is intended.
4. “This door is always closed” → “At some relevant time this door is not closed.”
In each case the full scope of the original claim is preserved.