Postby Duke1632 » Wed Nov 06, 2013 2:17 am
Humans certainly favor inductive reasoning over deductive reasoning, and as you say, it works pretty well--in fact, it's usually the only type of reasoning available to them for most choices in life, but that does not change the fact that inductive reasoning is a disaster for some things, like logical proofs and the Scientific Method, etc.
But what I'm getting at is that subjective metrics are not very good because other subjective metrics that actually conflict would be valid for the same reasons. For example, if I paraphrase Spence, or at least the common narrative, Bama and FSU have a tougher SoS because the top two teams on their schedule are estimated to be stronger than the top two teams on OSU or Baylor's schedule. Suppose I use some very similar constraints (e.g., cherry picking two teams from a list of 12) to make the opposite conclusion. I see that the weakest two teams on Bama and FSU's schedule are much weaker than the bottom two on the schedules of OSU and Baylor. Therefore, I conclude OSU and Baylor have the toughest schedule. I used essentially the same parameters, but isolated different choices, and arrived at an opposite conclusion.
That said, SoS could be used in an objective way. For example, W/L is objective (in some ways), so SoS based on the W/L record of the opponents or some valid function thereof would be objective. CCR aggregates the power ranking of all opponents, so it's different still.
It is also interesting to note that W/L is only objective for certain things. After all, the best team in the country can still lose on a given Saturday, and if that happened due to malign fate it does not change the fact that they are the best (assuming you somehow knew that a priori). If you value most "being the best" then W/L might be irrelevant as would be SoS. On the other hand, if you think the trophy should go to the team that scored more points on that given day (even if it's an upset), then W/L is objective and trumps ALL other considerations.
Personally, I think the trophy should go to the team that wins, even if they are not as good as the team that loses. Therefore, it is antithetical to me to suggest a 1-loss Bama or FSU should be selected over an unbeaten OSU or Baylor.
The athletic team of my geographic region is superior to the team from your geographic region.