How To Prove That I'm True?

Logic Level 2

(1) If this statement is true, then the other statement is true as well. (2) If this statement is false, then the other statement is false as well. \begin{array}{|l|}\hline\small{\text{ (1) If this statement is true, then the other statement is true as well.}}\\ \small{\text{ (2) If this statement is false, then the other statement is false as well.}} \\ \hline\end{array}

If these statements are all logical, then how many of them is(are) true?

2 This is an impossible scenario 0 1

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1 solution

Abhay Tiwari
Apr 19, 2016

Do it like this

F i r s t First statement said that:

I f If it is r i g h t right , then second is also r i g h t right .

Assume the f i r s t first one to be r i g h t right .

S e c o n d Second statement said that:

I f If it is w r o n g wrong then the f i r s t first statement will also be w r o n g wrong

O r Or

I f If s e c o n d second is r i g h t right , then the first one will also be r i g h t right .

Now, I f If s e c o n d second is w r o n g wrong only then f i r s t first statement will be w r o n g wrong otherwise it is right. But since we assumed f i r s t first one to be r i g h t right which guarantees the correctness of the s e c o n d second statement, so s e c o n d second statement is r i g h t right . Therefore, it can be said from the s e c o n d second statement that f i r s t first one is right.

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