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dlthomas comments on Information theory and the symmetry of updating beliefs - Less Wrong
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It would be interesting to know if they have any particular justification for picking the natural logarithm or if it was simply a matter of using what first came to mind. Other likely candidates seem to be:
Yeah, as a software engineer, I can estimate log base 2 in my head, so that would be much more natural for me. But I could also see an argument for decibels since it's a unit that's already in use for other things.
Helpfully, log scales are off from each other by a constant factor, so whatever techniques they use ln for can be used just as well for log base 2. Just update any constants to the correct (much prettier) values.
Much like how inches and centimeters are off by a constant factor. Different log bases are analogous to different units.
Roll on the log odds standardisation effort - by the sound of it!