Your claims implied Arrow’s Theorem doesn’t apply to the US election system. Or pretty much any other. You also defined “single-winner” so that the single US president who wins the election doesn’t qualify.
OK, you’re right I didn’t actually contradict you. But don’t you think that’s a mistake? I think it does apply to real life voting systems that people use.
Perhaps you misunderstand what is meant when people say a theorem “applies”. It means that the preconditions are met (and that therefore the conclusions hold), not simply that the conclusions hold. The conclusions of a theorem can hold without the theorem being at all applicable.
If you meant “Arrow’s theorem is not applicable to any voting system on Earth” why did you object to my statements about PR? The PR issue is irrelevant, is it not?
You’re very condescending and you’re arguing with my way of speaking while refusing to actually provide a substantive argument.
it does apply. you’re treating yourself as an authority, and me a beginner. and just assuming that knowing nothing about me.
you made a mistake which i explained in my second paragraph. your response: to ignore it, and say you were right anyway and i should just read more.
I am, in fact, inferring that based on what you wrote.
Then I must ask that you point out this mistake more explicitly, because nothing in that second paragraph contradicts anything I said.
Your claims implied Arrow’s Theorem doesn’t apply to the US election system. Or pretty much any other. You also defined “single-winner” so that the single US president who wins the election doesn’t qualify.
OK, you’re right I didn’t actually contradict you. But don’t you think that’s a mistake? I think it does apply to real life voting systems that people use.
Perhaps you misunderstand what is meant when people say a theorem “applies”. It means that the preconditions are met (and that therefore the conclusions hold), not simply that the conclusions hold. The conclusions of a theorem can hold without the theorem being at all applicable.
If you meant “Arrow’s theorem is not applicable to any voting system on Earth” why did you object to my statements about PR? The PR issue is irrelevant, is it not?