Our professor asked us to show/prove this: "If A, then B.". We already did everything that we could to answer the given problem; but still we couldn't get the answer.

There really an answer to this??

thanks in advance...

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- April 24th 2011, 03:48 PMmamenProving
Our professor asked us to show/prove this: "If A, then B.". We already did everything that we could to answer the given problem; but still we couldn't get the answer.

There really an answer to this??

thanks in advance... - April 24th 2011, 04:05 PMPlato
As written it is a nonsense question.

Did you leave critical information out? What are A & B?

If A is false then "If A then B" is true regardless of what B is.

If B is true then "If A then B" is true regardless of what A is.

The only time then**"If A then B" is false**is when**A is true**__and__B is false. - April 24th 2011, 05:32 PMmamen
Sir, I guess the statement was this: "Given A, show B." Does it make sense now? thanks sir..

- April 24th 2011, 05:45 PMPlato
- April 24th 2011, 05:50 PMtopsquark
As Plato has already asked, what are A and B? "Given A, show B" is not always possible. For example when A is "x > 0" and B is "x^2 = -25" you cannot possibly show that, given x > 0 that x^2 = -25. It is impossible.

You need to be*much*more specific if you expect to have this question answered.

-Dan