Actually, he does, and so do you. It's self-evident in every statement you write, every conscious thought you have. That you don't accept it is irrelevant.
Using those concepts implicit in you writing, while simultaneously denying them, is just another contradiction.
Logic:
https://en.wikipedia.org/wiki/Law_of_thought
logic:
Law of identity: whatever is, is
non-contradiction: A thing cannot both be and not be
excluded middle* : everything must either be, or not be
reason:
Existence exists: There is something as opposed to nothing
Consciousness perceives existence: to be aware of reality requires consciousness
Reality is what it is
This does not change when being fooled by mind control, etc. To claim mind control is to accept all of those. The fact that the images you sense don't correspond to a real thing, does NOT change those facts (that you are conscious of the existence of something. That the something you believe you see, is not what you think (illusion, matrix, etc.) is irrelevant.
You can't even prove to yourself with absolute certainty that you think.
A number of issues with your claim:
#1 proof is for abstract systems like mathematics, incorrect application here.
#2 all of science is falsifiable, why are you (incorrectly) setting the bar as "absolute certainty"? Doesn't that require omniscience? So truth to you = gods?
#3 The justification for knowing we think, is clearly above. To deny it, is to accept it, such are axioms.
#4 It's still a contradiction:
Implicit in that statement is thinking:
I think you cannot even prove to yourself that you think
You accept it even as you claim to reject it...that's still a contradiction, your statement is false
You can deny yourself, it's just that it's false.