LafaritoNo Stupid Questions@lemmy.world·9 months agoIs "If A then B" equal to "B if and only if A"?message-squarearrow-up151arrow-down111message-square61fedilink
arrow-up140arrow-down1message-squareIs "If A then B" equal to "B if and only if A"?LafaritoNo Stupid Questions@lemmy.world·9 months agomessage-square61fedilink
minus-squareOok the Librarianarrow-up1arrow-down0·9 months agoedit-29 months agolinkfedilink“If A then B” means if A is true, then B is guaranteed to be true. Note that if B is true and A is false, “if A then B” is still true. “B only if A” means the only way for B to be true is for A to be true. It’s weird, but it has the inverse truth table as “(not A) and B”.
“If A then B” means if A is true, then B is guaranteed to be true. Note that if B is true and A is false, “if A then B” is still true.
“B only if A” means the only way for B to be true is for A to be true. It’s weird, but it has the inverse truth table as “(not A) and B”.