you apparently can't imagine a plausible situation where PrimeNumber7 and Quickseller aren't the same person.
Personally speaking, this is correct. Having been on the forum for as long as I have, understanding the dynamics of certain personalities and being able to recognize forum-specific linguistic patterns leads me to believe they are absolutely the same person.
and yet, you can't articulate why they must be the same person.
No, because admittedly I did not deliver absolute proof of anything. It is simply evidence which I believe any rationally-minded person could use to conclude that in all likelihood they are the same person.
this is the logic of your claim: "so few people on the forum use these terms that anyone who does use them must be the same person". you see how that's fallacious/circular reasoning, right? it's not self-evident.
Not at all. I'm saying that nobody uses all of those terms except for them.
and from there,
you conclude that they must be the same person. if you are not trying to make that claim, i suggest changing the thread title.

I don't understand the point you're trying to make here. There's a big difference between what you think I said and what I actually said. I made a hypothesis ("PN7 is Quickseller") and am backing it with evidence.
for you to say that Quickseller and PrimeNumber7 are the same physical person using linguistic analysis is an extraordinary claim. that means they are the only person in the world who exhibits these (supposedly definitive) linguistic patterns.
Again, I'm only talking about people on the forum. Don't know why you keep conflating it to mean the entire world.
the existence of 2 forum accounts fitting that criteria doesn't prove that. it merely proves that 2 forum accounts share a number of linguistic similarities.
Correct -- again, I'm not talking about absolute proof. I said that in the OP.
you're literally including idiomatic expressions in your data but excluding correct usage of those expressions where they don't suit your claim. you are just showcasing how this is an exercise in cherry picking.
The entire basis of the analysis is based on words used by Quickseller. Including those not used by Quickseller makes no sense. Again, I don't think you understand what I am doing at a fundamental level.
Like I said in the OP, you're free to come to your own conclusions. But if you continue to misinterpret my analysis I will continue to correct your misunderstandings.