The sentence 𝑝→¬𝑞 is false only when 𝑝 is true and ¬𝑞 (not q) is false.

Since ¬𝑞 is false, that means 𝑞 must be true.

So, in order to make the sentence 𝑝→¬𝑞 false, 𝑝 must be true and 𝑞 must also be true.

Question

The sentence 𝑝→¬𝑞 is false only when 𝑝 is true and ¬𝑞 (not q) is false.

Since ¬𝑞 is false, that means 𝑞 must be true.

So, in order to make the sentence 𝑝→¬𝑞 false, 𝑝 must be true and 𝑞 must also be true.

Knowee AI · Accepted Answer

The sentence 𝑝→¬𝑞 is false only when 𝑝 is true and ¬𝑞 (not q) is false.

Since ¬𝑞 is false, that means 𝑞 must be true.

So, in order to make the sentence 𝑝→¬𝑞 false, 𝑝 must be true and 𝑞 must also be true.

What must the truth values of 𝑝𝑝 and 𝑞𝑞 be in order to make the sentence 𝑝→¬𝑞𝑝→¬𝑞 false?