LessonsContradiction: Definition, Conditions and Application to PropositionsQuiz

The book contrasts Zayd's state at night with his state by day:
“Zayd sleeps at night.”
“Zayd does not sleep in the daytime.”

Both can be true because they concern different times. A person may sleep at night and remain awake by day.

A genuine pair keeps the time fixed:
“Zayd is sleeping now.”
“Zayd is not sleeping now.”

When time qualifies the judgment, changing that time changes the proposition. That is why temporal identity matters.

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Identity of time

Contradiction: Definition, Conditions and Application to Propositions

The book contrasts Zayd's state at night with his state by day:
“Zayd sleeps at night.”
“Zayd does not sleep in the daytime.”

Both can be true because they concern different times. A person may sleep at night and remain awake by day.

A genuine pair keeps the time fixed:
“Zayd is sleeping now.”
“Zayd is not sleeping now.”

When time qualifies the judgment, changing that time changes the proposition. That is why temporal identity matters.