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Jun 16, 2020 at 11:03 history edited CommunityBot
Commonmark migration
Oct 19, 2018 at 12:04 comment added The Square-Cube Law This answer gave me a mathgasm.
Oct 18, 2018 at 15:28 comment added Mathaddict @WhatRoughBeast. The counterexample holds even in the situation where the last four people simultaneously happen to chose and pair off perfectly at the same time. All you're really saying is that it could work out if those "last" people happen to just make a choice that makes things perfect anyway. The fact is that a problem could happen so the notion of "Free Choice" of partners as described in the question. In a counterexample the fact that it is possible that it happens in the way I described, is enough to demonstrate that it isn't ensured.
Oct 18, 2018 at 2:22 comment added BlindingLight Thank you for this answer, this not only helps me with worldbuilding the creation and visualization of colonies, but gives me hope about my prospects in this world :D
Oct 18, 2018 at 1:49 comment added WhatRoughBeast This assumes a strictly sequential process of mate choice, and is not necessarily true. Consider the last step, with four people left unchosen. If two pairs form simultaneously (as in, for instance, they form during a party and then proceed to consumate seperately), your demonstration fails. Assumptions need to be stated.
Oct 17, 2018 at 21:47 comment added J Thomas Suppose that the four people who are the must disgustingly unattractive all have high standards and are not willing to accept each other, and also no one else will accept any of them. Then there will always be a pool of at least 4 potential partners that any single person has available. They aren't really available since none of them are acceptable, but the official criteria are satisfied.
Oct 17, 2018 at 21:44 comment added Mathaddict Sweet! Reductionism for the win!
Oct 17, 2018 at 21:40 history edited Mathaddict CC BY-SA 4.0
added 4 characters in body
Oct 17, 2018 at 21:31 comment added SAJW actually that points out a flaw in my thinking!
Oct 17, 2018 at 21:30 vote accept SAJW
Oct 17, 2018 at 19:55 history answered Mathaddict CC BY-SA 4.0