das.abhijit34 Wrote:Thanks very much Ron! Got it now.
Also, I should have noticed the strong tone of "only if" for an inference question.
well, "strong tone" isn't really the point -- the point is that "only if" is FUNDAMENTALLY DIFFERENT from "if".
it's basically the same thing as the difference between "necessary" and "sufficient".
i.e.,
X only if Y <—>
Y is necessary for XX if Y (
If Y then X) <—>
Y is sufficient to tell us X / for us to know Xyou shouldn't
memorize these, of course -- you should just UNDERSTAND why they are true. if you understand these things as well as you should, then these equivalences should be clear/obvious enough, with no need for memorization.