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What does the phrase mean "if but only if" operates in the same way, as does just reversing a conditional statement?"

Can you please give an example of using both "if but only if" and what you mean by "reversing a conditional statement?"

Thank you!
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 Dave Killoran
PowerScore Staff
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Hi C,

The "if and only" model, which includes variants such as "if but only if," "when and only when," "when but only when," etc is awesome because it produces a very simple relationship: a double arrow, or :dbl: .

Under a double arrow, each condition is both sufficient AND necessary for the other. That's tough to understand at first, so it more easily can be understood as : they both need each other :-D

So, if you have A :dbl: B, it means only the following two scenarios are possible:

1. A and B both occur.
2. Neither A nor B occurs.

That's it. What's impossible is one happening and the other not happening. Here's more on it: ... questions/


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