komponisto comments on A sense of logic - Less Wrong

13 Post author: NancyLebovitz 10 December 2010 06:19PM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Comments (269)

You are viewing a single comment's thread. Show more comments above.

Comment author: komponisto 14 December 2010 03:55:47PM *  2 points [-]

My reduction-proposal:

A "natural" hypothesis is one with high probability. A "natural" question is a query regarding the cause(s) of a low-probability observation.

So, in this exchange, byrnema pointed to a particular low-probability observation (the abundance of causal structure in the world around us), and Eliezer responded by noting that the proposed explanation (a complex first cause) has low probability, even conditioning on the observation.

To put it in even simpler terms: Bayes's theorem says P(H|E) = P(E|H)P(H)/P(E); byrnema said: "P(E) is small!"; and Eliezer said "Oh yeah, well P(H) is tiny!"