Re: Distinct linear orderings on Z

From: Lester Zick (lesterDELzick_at_worldnet.att.net)
Date: 03/28/05 

Date: Mon, 28 Mar 2005 16:24:00 GMT

On Mon, 28 Mar 2005 09:28:20 -0500, Tony Orlow (aeo6)
<aeo6@cornell.edu> in comp.ai.philosophy wrote:

>Lester Zick said:
><snip>
>> >But then, how do you define pi in more basic terms? Sorry if you've already
>> >explained this.
>>
>> I'm not sure what more basic terms there could be, Tony. Given spatial
>> dimensionality, straight lines and bisection are pretty much it.
>>
>> Regards - Lester
>>
>I mean, how do you define what numerical value you're talking about.

The limit of length of straight line segments erected on a straight
line segment through bisection of angles.

> It seems
>like pi is defined in terms of the circle and vice versa, and is indeed
>circular, which you may argue is appropriate, but where are the self-
>contradictory alternatives?

Well the self contradictory alternatives lie between straight lines
and curves, Tony. We can define straight lines between points but we
can't define curves between points. That's what a curve is. So the
regression is from one straight line segment which we can define to
the self contradictory alternative of a curve which we can't define.

Regards - Lester

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