Hey. Using this exact same strategy, I can disprove evolution !
Imagine a man and a woman trapped in a big room where they are sent food every day. There is more than enough food for them both. Then they reproduce. There was no natural selection, so evolution didn't apply. Evolution must be wrong !
This is "pure logic" so you cannot refute it with maths. I didn't use evolution at all, but I shouldn't need to, since I used "pure logic". Obviously Darwin missed something.
Next, I will prove that objects do not really fall, but everything gets bigger and bigger so it looks like things fall. I will prove this using crappy flash animations and without using any law of gravity whatsoever.