1. ## Equivalent Conditional Statement

Can someone explain why the equivalent statement to

"To be a math superstar, it is necessary for you to love pi."

is

"If you love pi, then you are a math superstar."

I got this mixed up on my homework

2. Originally Posted by divinelogos
Can someone explain why the equivalent statement to
"To be a math superstar, it is necessary for you to love pi."
is
"If you love pi, then you are a math superstar."
Here is the rule: Given if A then B these are equivalent,
B is necessary for A and A is sufficient for B.

Does that match with what you posted?
In what you posted what is necessary? That is B.

3. Originally Posted by Plato
Here is the rule: Given if A then B these are equivalent,
B is necessary for A and A is sufficient for B.

Does that match with what you posted?
In what you posted what is necessary? That is B.
That's what I thought. So, are the two statements I posted equivalent, in the sense that they have the same truth tables?

The question on our test required us to write the contrapositive, inverse, and converse of the statement "To be a math superstar, it is necessary for you to love pi." The teacher is saying the equivalent statement to this is "If you love pi, then you are a math superstar."

This can't be right?

4. Originally Posted by divinelogos
So, are the two statements I posted equivalent, in the sense that they have the same truth tables?
"To be a math superstar, it is necessary for you to love pi." The teacher is saying the equivalent statement to this is "If you love pi, then you are a math superstar."
In your OP, the two are not equivalent. You seem to be saying two different things.

"To be a math superstar, it is necessary for you to love pi."
is equivalent to
If one is a mathematics superstar then s/he loves pi..

5. Originally Posted by Plato
In your OP, the two are not equivalent. You seem to be saying two different things.

"To be a math superstar, it is necessary for you to love pi."
is equivalent to
If one is a mathematics superstar then s/he loves pi..
That was my inclination. Thanks for your help Plato.

Can I get some other's input on this? Is there any way it could be "If you love pi, then you are a math superstar"?