I consider this a misuse of logic sometimes called "swapping the domain of discourse" by metamathematicians, and manifested as what more traditional logicians called the "fallacy of the excluded middle".
Looks like it would have been more intellectually honest just to say that you made a mistake in your choice of words.
It's not our job to overcome anyone's skepticism, only to attest to what we know (including of course the meanings of the word "know" which "objectivists" deny).
You may steer your own way.
As long as you retain such prejudice and skepticism, there is no way I can convince you of anything, and I don't think anyone else here could convince you either.
Only the Holy Spirit can convict someone (which usually results in bringing one to his knees) -- and He doesnt convict just anybody:
For whom he did foreknow, he also did predestinate [to be] conformed to the image of his Son, that he might be the firstborn among many brethren. Moreover whom he did predestinate, them he also called: and whom he called, them he also justified: and whom he justified, them he also glorified. Romans 8:28-30