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keh9305
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keh9305
Thursday, Jun 5, 2025
Conditional Claim: If one drinks coffee in the morning, then one has energy for the day.
Contrapositive: If one does not have energy for the day, then one did not drink coffee in the morning.
-drinking coffee in the morning is sufficient for having energy for the day.
-having energy for the day is necessary for drinking coffee in the morning.
keh9305
Thursday, Jun 5, 2025
If one is hungry, then one will make a sandwich.
Kate is hungry.
Conc: Kate will make a sandwich.
The negation is: not arrive more than 5 minutes; so either exactly 5 minutes or less. I think he only wrote less for the sake of the example and being concise, but he did mention both possibilities.