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-square9fedilinkarrow-up11arrow-down11
arrow-up10arrow-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-square9fedilink
minus-squareApepollo11@lemmy.worldlinkfedilinkarrow-up0·10 months agoYou’ve have some examples, but in case they are not clear enough: If [you have AIDS] then [you are unwell] [You are unwell] if and only if [you have AIDS] The first one is not the same as the second. Why? There are plenty of ways to be unwell, without necessary developing AIDS. The first statement only defines one possible path to B, not all of them.
You’ve have some examples, but in case they are not clear enough:
If [you have AIDS] then [you are unwell]
[You are unwell] if and only if [you have AIDS]
The first one is not the same as the second. Why? There are plenty of ways to be unwell, without necessary developing AIDS.
The first statement only defines one possible path to B, not all of them.