Lafari@lemmy.world to No Stupid Questions@lemmy.world · 8 months agoIs "If A then B" equal to "B if and only if A"?message-squaremessage-square40fedilinkarrow-up138arrow-down110
arrow-up128arrow-down1message-squareIs "If A then B" equal to "B if and only if A"?Lafari@lemmy.world to No Stupid Questions@lemmy.world · 8 months agomessage-square40fedilink
minus-squareOok the Librarian@lemmy.worldlinkfedilinkarrow-up1·edit-28 months ago“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”.