Re: Draft Philosophy Paper

From: H J Ruhl <HalRuhl.domain.name.hidden>
Date: Thu, 21 Feb 2002 22:20:30 -0800

Dear Alastair:

An clarification of my analysis of your -1 to + 10 example:


That is your model and it is one dimensional [call it x] that is it has one
venue.
Now add a dimension call it y that is infinite and perpendicular to your
example's x. This is an infinite number of venues. Add the y boundaries
at x = -1 and x = +10. Now randomly sample on this bounded xy plane. The
area of the plane below zero on the x dimension is the same as the area
above zero on the x dimension i.e. infinite = no bias as to sign mix of the
resulting random sample of reals on x.

{near the end of my post a further clarification}

What you seem to be saying re my approach using the above analysis of your
example is that either of the boundaries of the above plane in the y
dimension may meander between x = -1 and x = + 1. With this I agree.
Actually its essential. So what? The areas above and below the x = 0 line
are still equal i.e. infinite so a random sample in the xy plane over this
structure still produces no bias as to sign mix of the resulting random
sample of reals on x.

Hal
Received on Thu Feb 21 2002 - 19:25:43 PST