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 logical statement saying "if p then q".

2. This can be interpreted as "either p is false, or q is true".

3. In logical notation, "p is false" is written as "¬p" and "or" is written as "∨".

4. So, "either p is false, or q is true" 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 logical statement saying "if p then q".

2. This can be interpreted as "either p is false, or q is true".

3. In logical notation, "p is false" is written as "¬p" and "or" is written as "∨".

4. So, "either p is false, or q is true" 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 logical statement saying "if p then q".

2. This can be interpreted as "either p is false, or q is true".

3. In logical notation, "p is false" is written as "¬p" and "or" is written as "∨".

4. So, "either p is false, or q is true" is written as "¬p ∨ q".

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

p → q is logically equivalent to ________ans.¬p ∧ qp ∨ ¬q¬p ∨ q¬p ∨ ¬q Previous Marked for Review Next