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John_Maxwell_IV comments on Leaving LessWrong for a more rational life - Less Wrong
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Selecting a likely hypothesis for consideration does not alter that hypothesis' likelihood. Do we agree on that?
People select hypotheses for testing because they have previously weakly updated in the direction of them being true. Seeing empirical data produces a later, stronger update.
Except that when the hypothesis space is large, people test hypotheses because they strongly updated in the direction of them being true, and seeing empirical data produces a later, weaker update. Where an example of 'strongly updating' could be going from 9,999,999:1 odds against a hypothesis to 99:1 odds, and an example of 'weakly updating' could be going from 99:1 odds against the hypothesis to 1:99. The former update requires about 20 bits of evidence, while the latter update requires about 10 bits of evidence.
Interesting point. I guess my intuitive notion of a "strong update" has to do with absolute probability mass allocation rather than bits of evidence (probability mass is what affects behavior?), but that's probably not a disagreement worth hashing out.
I like your way of saying it. It's much more efficient than mine!
Thanks! Paul Graham is my hero when it comes to writing and I try to pack ideas as tightly as possible. (I recently reread this essay of his and got amazed by how many ideas it contains; I think it has more intellectual content than most published nonfiction books, in just 10 pages or so. I guess the downside of this style is that readers may not go slow enough to fully absorb all the ideas. Anyway, I'm convinced that Paul Graham is the Ben Franklin of our era.)