@LifeOfMyMoon @rlmcelreath Right; those are explicitly different models; which model you use depends on purpose - neither is "false".
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Replying to @davidmanheim
@LifeOfMyMoon@rlmcelreath Actually, the no free lunch theorem effectively says explicitly that no model is best for all questions.1 reply 0 retweets 1 like -
Replying to @davidmanheim
@davidmanheim@rlmcelreath Definitely agree here. There is a degeneracy of states: multiple models have the same veracity, different focus1 reply 0 retweets 1 like -
Replying to @LifeOfMyMoon
@davidmanheim@rlmcelreath Except, NFL doesn't really apply: they hold information constant. Can form better model by obtaining perfect info1 reply 0 retweets 0 likes -
Replying to @LifeOfMyMoon
@LifeOfMyMoon@rlmcelreath Yes. Unfortunately, models exist to represent imperfectly, usually given available data.2 replies 0 retweets 0 likes -
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Replying to @LifeOfMyMoon
@davidmanheim@rlmcelreath Models can be perfect or imperfect; unfortunately, hypothesis space for imperfect is much larger1 reply 0 retweets 1 like -
Replying to @LifeOfMyMoon
@LifeOfMyMoon@rlmcelreath The space of perfect models isn't just of measure 0 - it's finite, and exactly equal to 1.1 reply 0 retweets 0 likes -
Replying to @davidmanheim
@davidmanheim@rlmcelreath Are you outlawing submodels and models of subsystems?1 reply 0 retweets 0 likes -
Replying to @LifeOfMyMoon
@LifeOfMyMoon@rlmcelreath Not outlawing, noting that they are incomplete, so can't be used to pick optimal decision over all possibilities.1 reply 0 retweets 0 likes
@davidmanheim @rlmcelreath No need for all possibilities. I can model two atoms in an empty universe. Seems like a correct model.
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