Luke_A_Somers comments on SIA fears (expected) infinity - Less Wrong

6 Post author: Stuart_Armstrong 12 November 2012 05:23PM

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Comment author: Luke_A_Somers 12 November 2012 09:23:00PM * 0 points [-]

If you sum up C/j^2, that's finite, with the value given by Riemann's zeta function. Zeta of 2 is around 1.645.

It's C/j that goes up to infinity, logarithmically.

Comment author: RichardKennaway 13 November 2012 07:34:16AM 2 points [-]

If you sum up C/j^2, that's finite, with the value given by Riemann's zeta function. Zeta of 2 is around 1.645.

...which is pi^2/6, making the sum equal to 1, which it should be, as a probability measure.

It's C/j that goes up to infinity, logarithmically.

And that sum is the expectation value.

Comment author: Luke_A_Somers 13 November 2012 12:05:06PM 0 points [-]

Oh freddled gruntbuggly I misread the OP. DUM de DUM.