**From:** Eliezer Yudkowsky (*sentience@pobox.com*)

**Date:** Thu Aug 12 2004 - 22:26:21 MDT

**Next message:**J. Andrew Rogers: "Re: All is number"**Previous message:**J. Andrew Rogers: "Re: All is number"**In reply to:**J. Andrew Rogers: "Re: All is number"**Next in thread:**J. Andrew Rogers: "Re: All is number"**Reply:**J. Andrew Rogers: "Re: All is number"**Reply:**Thomas Buckner: "Re: All is number"**Reply:**Mark Waser: "Re: All is number"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

J. Andrew Rogers wrote:

*>
*

*> You can no more imagine a world where mathematics doesn't apply than you
*

*> can imagine the number pi.
*

Why can I not imagine pi? Pi is a finite Turing machine, even if the

decimal expansion is infinite. I'm an infinite set atheist, because no one

has ever reliably reported the observation of an infinite set, despite

occasional rumors. But I'm not a continuous space atheist or an irrational

number atheist. I inhabit a continuous space, and irrational numbers such

as pi play a role in physics. My infinite set atheism just implies that

any physically real continuous distribution is finitely parameterizable,

and the role of irrational numbers in physics doesn't change this.

Now if you said that no one could imagine the sequence of digits in the

decimal expansion of pi, I would agree.

-- Eliezer S. Yudkowsky http://intelligence.org/ Research Fellow, Singularity Institute for Artificial Intelligence

**Next message:**J. Andrew Rogers: "Re: All is number"**Previous message:**J. Andrew Rogers: "Re: All is number"**In reply to:**J. Andrew Rogers: "Re: All is number"**Next in thread:**J. Andrew Rogers: "Re: All is number"**Reply:**J. Andrew Rogers: "Re: All is number"**Reply:**Thomas Buckner: "Re: All is number"**Reply:**Mark Waser: "Re: All is number"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

*
This archive was generated by hypermail 2.1.5
: Wed Jul 17 2013 - 04:00:48 MDT
*