I think the main place your argument stumbles is the fact that you're holding to a particularly rigid scientific doctrine of falsification (which is only really relevant in certain scientific circles)
What's your argument for your conclusion that it's only really relevant in certain scientific circles?
Since you didn't present your argument, that tells me you don't have one. So you're just assuming.
and then trying to apply that in principle across all human interaction and forms of debate.
No that's not what I'm doing.
Falsification only works on scientific theories -- since falsification is about using physical evidence to rule out theories.
Refutation works on any theories, scientific or otherwise -- and it doesn't require physical evidence. It only needs to point out logical flaws.
By your calculations, drawing upon your own reading of Popper et al, there is no such thing as evidence of something.
What does "evidence of something" mean?
Do you mean "evidence ruling out somethings" or do you mean "evidence supporting something"?
I don't particularly care if you don't like the idea of asking for evidence and justification. I happen to disagree, and think that requirement has broad utility and is a principle most people understand and respect.
You haven't understand my point. I'm saying that justification IS IMPOSSIBLE. And that evidence only works in the negative direction, to refute theories -- so evidence does not work in the positive direction, to CHOOSE ONE THEORY OUT OF MANY (aka support).
A principle that bears fruits. I want evidence and justification if I'm to believe a person who presents a claim that I doubt. I'm fine with producing evidence or explaining my reasoning when others ask it of me. There is no problem in this method that needs resolving.
Your subjective appraisal of what is and isn't evidence or what it can and cannot do is irrelevant here. I'm talking about mine. I accept new strains of antibiotic resistant bacteria as supporting evidence of evolution over time by natural selection, for example. I am persuaded by it. This is the kind of thing I have in mind when I ask for evidence or justification. Clearly not the same kind of thing you have in mind. And that's ok. You're welcome to your own expectations.
But your method of justification is false. If you disagree, then you can explain why I'm wrong. And if you can't explain why I'm wrong, then why do you disagree with me?