Perplexed comments on The Absolute Self-Selection Assumption - Less Wrong

16 Post author: paulfchristiano 11 April 2011 03:25PM

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

Comments (38)

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

Comment author: Perplexed 11 April 2011 10:59:34PM 0 points [-]

Any given real number has probability zero of being picked from the uniform distribution on [0,1) yet one certainly will be picked.

Not in a finite amount of time.

Comment author: wnoise 12 April 2011 01:00:28AM 0 points [-]

What do you mean?

Comment author: Manfred 11 April 2011 11:23:46PM *  0 points [-]

Drawing from a continuous distribution happens fairly often, so your comment confuses me. Or maybe you'd say that those aren't "really infinite" and are confined to a certain number of bits, but quantum mechanics would be an exception to that.

Comment author: Perplexed 12 April 2011 01:01:37AM 0 points [-]

As Cyan pointed out, when you choose a number confined to a certain number of bits, you are actually choosing from among the rationals.

I don't understand your reference to QM. I wasn't objecting to the randomness aspect. I was simply pointing out that to actually receive that randomly chosen real, you will (almost certainly) need to receive an infinite number of bits, and assuming finite channel capacity, that will take an infinite amount of time. So that event you mentioned, the one with an infinitesimal probability (zero probability for all practical purposes) is not going to actually happen (i.e. finish happening).

It was a minor quibble, which I now regret making.