[FRIAM] Thanks again Marcus

[Frank Wimberly]

I have a different answer from Jon's which is my understanding and which I
hope is helpful.  Every rational number (the ones physicists use, like 2.0)
is also a real number.  They also use truncated irrational numbers like pi
and sqrt(2) in their calculations--that is, 3.14159265 (a rational number)
instead of pi. They use pi in theoretical derivations.  As Jon says, there
are uncountably many non-rational numbers.

As for sensitivity to initial conditions, physicists or engineers calculate
the trajectory of a probe to Pluto and they launch with an initial impulses
or set of impulses which won't result in an exact arrival at Pluto.  The
saving grace is that they can apply small impulses (f*deltat) later in the
trip to make corrections.

Frank



---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Fri, Jun 19, 2020, 9:36 PM <thompnickson2 at gmail.com> wrote:

> Oh, Jon,
>
> In sofaras I am able I read this paper.  I don't see how it relates to the
> Peircian principle that most sequences of events are random, but that
> organisms (including physicists) should be tuned to the ones that aren't.
>
> I am still wondering if there is any relation between this paper and those
> endless lectures on the relation between discontinuity and complexity in
> the
> SFI summer school.  Here is how I get there.  Every real number has an
> infinity of information, which I read as, every real number has an infinite
> number of digits.  So the numbers that physicists use, which are
> necessarily
> truncated, aren't real numbers.   Did I get anywhere close?
>
> Nick
>
> Nicholas Thompson
> Emeritus Professor of Ethology and Psychology
> Clark University
> ThompNickSon2 at gmail.com
> https://wordpress.clarku.edu/nthompson/
>
>
>
> -----Original Message-----
> From: Friam <friam-bounces at redfish.com> On Behalf Of Jon Zingale
> Sent: Friday, June 19, 2020 1:21 PM
> To: friam at redfish.com
> Subject: [FRIAM] Thanks again Marcus
>
> https://link.springer.com/article/10.1007/s10670-019-00165-8#Sec6
>
>
>
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