The truth value of ~p∧p when p is false is as follows:

1. First, understand the symbols. "~" stands for "not" and "∧" stands for "and". So, ~p∧p translates to "not p and p".

2. Given that p is false, ~p (not p) would be true because it's the opposite of p.

3. However, the statement is ~p∧p, which means "not p and p". In logic, an "and" statement is only true if both parts of the statement are true.

4. Since p is false, the whole statement ~p∧p becomes false because for an "and" statement to be true, both parts need to be true.

So, the truth value of ~p∧p when p is false is false.

Question

The truth value of ~p∧p when p is false is as follows:

1. First, understand the symbols. "~" stands for "not" and "∧" stands for "and". So, ~p∧p translates to "not p and p".

2. Given that p is false, ~p (not p) would be true because it's the opposite of p.

3. However, the statement is ~p∧p, which means "not p and p". In logic, an "and" statement is only true if both parts of the statement are true.

4. Since p is false, the whole statement ~p∧p becomes false because for an "and" statement to be true, both parts need to be true.

So, the truth value of ~p∧p when p is false is false.

Knowee AI · Accepted Answer

The truth value of ~p∧p when p is false is as follows:

1. First, understand the symbols. "~" stands for "not" and "∧" stands for "and". So, ~p∧p translates to "not p and p".

2. Given that p is false, ~p (not p) would be true because it's the opposite of p.

3. However, the statement is ~p∧p, which means "not p and p". In logic, an "and" statement is only true if both parts of the statement are true.

4. Since p is false, the whole statement ~p∧p becomes false because for an "and" statement to be true, both parts need to be true.

So, the truth value of ~p∧p when p is false is false.

If p is false, what is the truth value of ~p∧p?truefalsecannot be determinedSubmit