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Do you avoid saying that e.g. invisible pink unicorns do not exist?

Come to think if it, I'm pretty sure I've never stated "invisible pink unicorns do not exist". On the other hand, I've never had to avoid saying it either; oddly enough, I've never felt any urge to comment on the possible existence of invisible pink unicorns until now.

But this is immaterial to the issue at hand, which is one of logical arguments, not mere validity of statements. I don't believe that invisible pink unicorns exist, but I would never state that I had logically proven that invisible pink unicorns do not exist.

He didn't say that it was logically proven, just that he "reason[ed it] out". That's pretty informal and I think does not need any caveats along the line of "it could exist in such a way that is indistinguishable from not existing". After all, if I reason out that there's no such thing as ghosts, that doesn't mean I'm claiming to have a perfect logical proof that shows that they're impossible, just that according to the evidence it doesn't look like they're real.

Have you considered that God doesn't fall into the same category as an invisible unicorn?

The IPU is a poor analogy for disproving the existence of God because it gives up too much ground.

God is in the same category as a square circle. Something that is self-contradictory and therefore cannot exist.

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