I, too, hope that our disagreement will soon disappear. But as far as I can see, it’s clearly not a semantic disagreement; one of us is just wrong. I’d say it’s you.
So. Say there are 3 voters, and without loss of generality, voter 1 prefers A>B>C. Now, for every one of the 21 distinct combinations for the other two, you have to write down who wins, and I will find either an (a priori, determinative; not mirror) dictator or a non-IIA scenario.
ABC ABC: A
ABC ACB: A
ABC BAC: ?… you fill in these here
ABC BCA: ?
ABC CAB: .
ABC CBA: .
ACB ACB: .
ACB BAC:
ACB BCA:
ACB CAB:
ACB CBA:
BAC BAC:
BAC BCA:
BAC CAB:
BAC CBA:
BCA BCA:
BCA CAB: …. this one’s really the key, but please fill in the rest too.
BCA CBA:
CAB CAB:
CAB CBA:
CBA CBA:
Once you’ve copied these to your comment I will delete my copies.
I, too, hope that our disagreement will soon disappear. But as far as I can see, it’s clearly not a semantic disagreement; one of us is just wrong. I’d say it’s you.
I, too, hope that our disagreement will soon disappear. But as far as I can see, it’s clearly not a semantic disagreement; one of us is just wrong. I’d say it’s you.
So. Say there are 3 voters, and without loss of generality, voter 1 prefers A>B>C. Now, for every one of the 21 distinct combinations for the other two, you have to write down who wins, and I will find either an (a priori, determinative; not mirror) dictator or a non-IIA scenario.
ABC ABC: A
ABC ACB: A
ABC BAC: ?… you fill in these here
ABC BCA: ?
ABC CAB: .
ABC CBA: .
ACB ACB: .
ACB BAC:
ACB BCA:
ACB CAB:
ACB CBA:
BAC BAC:
BAC BCA:
BAC CAB:
BAC CBA:
BCA BCA:
BCA CAB: …. this one’s really the key, but please fill in the rest too.
BCA CBA:
CAB CAB:
CAB CBA:
CBA CBA:
Once you’ve copied these to your comment I will delete my copies.
Thanks; I see it now. Editing my earlier posts.