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AspiringRationalist comments on Irrationality Game II - Less Wrong Discussion

13 [deleted] 03 July 2012 06:50PM

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Comment author: AspiringRationalist 05 July 2012 04:02:35AM 6 points [-]

The case for atheistic reductionism is not a slam-dunk.

While atheistic reductionism is clearly simpler than any of the competing hypotheses, each added bit of complexity doubles the size of hypothesis space. Some of these additional hypotheses will be ruled out due to impossibility or inconsistency with observation, but that still leaves a huge number of possible hypotheses that each add take up a tiny amount of probability mass, but they add up.

I would give atheistic reductionism a ~30% probability of being true. (I would still assign specific human religions or a specific simulation scenario approximately zero probability.)

Comment author: Pavitra 05 July 2012 07:45:17AM 0 points [-]

Assuming our MMS-prior uses a binary machine, the probability of any single hypothesis of complexity C=X is equal to the total probabilities of all hypotheses of complexity C>X.