Lafari@lemmy.world to No Stupid Questions@lemmy.world · 10 months agoIs "If A then B" equal to "B if and only if A"?message-squaremessage-square60fedilinkarrow-up150arrow-down110
arrow-up140arrow-down1message-squareIs "If A then B" equal to "B if and only if A"?Lafari@lemmy.world to No Stupid Questions@lemmy.world · 10 months agomessage-square60fedilink
minus-squareThoth19@lemmy.worldlinkfedilinkarrow-up1·10 months agoI mean it is the definition of “if and only if”. And by commutativity we also know that A iff B is equal to B iff A
minus-squareRhynoplaz@lemmy.worldlinkfedilinkarrow-up2·10 months agoOh yeah. I was very confused as to what that meant, but I learned something today.
minus-squareThoth19@lemmy.worldlinkfedilinkarrow-up1·10 months agoYeah if vs iff can be confusing at first. Trying to understand it with normal grammar doesn’t work right. It’s a lot more helpful to grok the symbols and so the truth tables by hand to see how they fit together
I mean it is the definition of “if and only if”. And by commutativity we also know that A iff B is equal to B iff A
Oh yeah. I was very confused as to what that meant, but I learned something today.
Yeah if vs iff can be confusing at first. Trying to understand it with normal grammar doesn’t work right. It’s a lot more helpful to grok the symbols and so the truth tables by hand to see how they fit together