John_Maxwell_IV comments on Reflection in Probabilistic Logic - Less Wrong

63 Post author: Eliezer_Yudkowsky 24 March 2013 04:37PM

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Comment author: John_Maxwell_IV 04 April 2013 06:29:32AM 2 points [-]

Regarding the epsilons and stuff: you guys might want to look in to hyperreal numbers.

Comment author: Qiaochu_Yuan 04 April 2013 06:43:42AM *  1 point [-]

We know. (The situation should be something like the following: internal statements about the probabilities assigned to various statements get interpreted in nonstandard models, so the corresponding probabilities are nonstandard reals.) Nonstandard models are an essential component of the approach here: probability assignments are the same thing as probability distributions over models (only one of which is standard).