You both are under the impression that I got up one day and said, 'hey, let's change all these words to mean something completely different'.
Of course, I love to do that. It's a hobby of mine. :sarcastic
Regardless of your intentions, our objections to the inexhaustiveness and incoherence of the way you've created your own terminology stand.
For instance, one huge objection is that you use the word "knowledge" to mean what most people use the word "belief" for; and you freely admit that you use the term "knowledge" in a way that has nothing whatsoever to do with the truth value of a claim. That's just counterproductive to change a word to mean the opposite of what it normally does; to an extent semantics aren't that big of a deal but when you use your own system that's apparently deliberately obtuse it sort of throws a monkey wrench in communication.
Do you have a different term that you use that more closely matches what normal English speakers are referring to when they say "knowledge?" If not, then your semantics have no terms for something which is true (only terms for that which is believed). Your system offers no basis by which to assert anything at all and is therefore -- as has been pointed out -- meaningless in a debate because you can't assert anything at all with your semantics other than you believe (in the normal English sense of the term) something.
Furthermore you don't distinguish justifications by whether they seek truth or not; you only distinguish whether the idea holder agrees with one or not. This further alienates your semantic system from having anything to do with seeking truth; it's simply not a viable system to use for discussion because with your system you can't talk about what may be true but only what you believe. Since your system neglects to assign truth values to justifications, your system can't provide epistemic justifications (in the normal English sense of justifying), which furthermore renders it irrational by way of holding unjustified beliefs (again, in the normal English sense of the terms).