Originally Posted by

**otownsend** Hi,

I hope someone can help. Could someone please explain to me the reason behind why the following statement is false? The statement is as follows: *“If n is a natural number then it may be expressed as a product of primes” is equivalent to “If n isn’t a natural number then it may not be expressed as a product of primes”.*

I figured that it would be true since it follows the logic "if this, then that" and "if not this, then not that". But evidently, the statement is actually false and I don't understand why.

I just started learning discrete math, so I would really appreciate help.