A if B means B implies A
A only if B means B implies A
why does A if and only if B mean something different?
Seriously I'm supposed to be good at math but I'm having autism problems
>>7782181
A only if B means A implies B.
>>7782192
but you might say "I'll go to the park only if I have shoes" or something, right?
I'm sure they're synonymous in normal usage
>>7782201
Right, that means you won't go to the park unless you have shoes. So if you do go it implies you do have shoes.
>>7782181
(A if B) = (B -> A)
(A only if B) = (A -> B)
(A iff B) = (A <-> B)
>>7782213
yeah you're right thanks very much
idk why but it wan't sounding right before
>>7782181
Use symbolic notation you troglodyte.
>>7782220
If it makes you feel better, I bet there's not a logician alive who doesn't get tripped up semi-regularly by weird phrasing involving conditionals.
>>7782218
so (A<->B) = (A->B->A->B->...) does this look like a ~(_~.....)
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