The statement "p → q" is logically equivalent to "¬p ∨ q". This is known as the material implication in logic.

Here's the step by step explanation:

1. "p → q" is a conditional statement, which means "if p then q".

2. This can be rephrased as "either not p, or q".

3. In logical notation, "not p" is written as "¬p" and "or" is written as "∨".

4. So, "either not p, or q" is written as "¬p ∨ q".

Therefore, "p → q" is logically equivalent to "¬p ∨ q".

Question

The statement "p → q" is logically equivalent to "¬p ∨ q". This is known as the material implication in logic.

Here's the step by step explanation:

1. "p → q" is a conditional statement, which means "if p then q".

2. This can be rephrased as "either not p, or q".

3. In logical notation, "not p" is written as "¬p" and "or" is written as "∨".

4. So, "either not p, or q" is written as "¬p ∨ q".

Therefore, "p → q" is logically equivalent to "¬p ∨ q".

Knowee AI · Accepted Answer

The statement "p → q" is logically equivalent to "¬p ∨ q". This is known as the material implication in logic.

Here's the step by step explanation:

1. "p → q" is a conditional statement, which means "if p then q".

2. This can be rephrased as "either not p, or q".

3. In logical notation, "not p" is written as "¬p" and "or" is written as "∨".

4. So, "either not p, or q" is written as "¬p ∨ q".

Therefore, "p → q" is logically equivalent to "¬p ∨ q".

p → q is logically equivalent to ________