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?
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?