High weirdness on a Turkish philosophy exam

This is almost untranslatable, but I'll try. It's the answer to a Turkish high school exam in a philosophy course, which made it to the Turkish media, and was apparently originally praised by Islamists as an example of a brave Muslim student standing up to an atheist teacher.

The question is: "Prove to me that this chair does not exist (100 points)"

Answer (my translation is artificially