What is the converse of the conditional statement 'If p, then q'?

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What is the converse of the conditional statement 'If p, then q'?

The main idea here is what you get when you swap the two parts of a conditional statement. If a statement says “If p, then q,” its converse is formed by switching p and q: “If q, then p.” That swap is exactly what makes this the converse, so the statement that reads “If q, then p” is the correct form. Think of it this way: the original asserts that p leads to q. The converse asks if q leads to p. The other standard forms are different: the inverse keeps the same order but negates both parts, and the contrapositive negates and swaps. Those are not the converse, even though they’re related. For intuition, consider: If a number is even, then it is divisible by 2. Its converse would be: if a number is divisible by 2, then it is even. That swap captures the idea of a converse, though in general the converse may be true or false independently of the original.

The main idea here is what you get when you swap the two parts of a conditional statement. If a statement says “If p, then q,” its converse is formed by switching p and q: “If q, then p.” That swap is exactly what makes this the converse, so the statement that reads “If q, then p” is the correct form.

Think of it this way: the original asserts that p leads to q. The converse asks if q leads to p. The other standard forms are different: the inverse keeps the same order but negates both parts, and the contrapositive negates and swaps. Those are not the converse, even though they’re related.

For intuition, consider: If a number is even, then it is divisible by 2. Its converse would be: if a number is divisible by 2, then it is even. That swap captures the idea of a converse, though in general the converse may be true or false independently of the original.

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