Re: Thanks again Marcus

Posted by Frank Wimberly-2 on
URL: http://friam.383.s1.nabble.com/Thanks-again-Marcus-tp7597319p7597326.html

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

On Fri, Jun 19, 2020, 9:36 PM <[hidden email]> 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
[hidden email]
https://wordpress.clarku.edu/nthompson/



-----Original Message-----
From: Friam <[hidden email]> On Behalf Of Jon Zingale
Sent: Friday, June 19, 2020 1:21 PM
To: [hidden email]
Subject: [FRIAM] Thanks again Marcus

https://link.springer.com/article/10.1007/s10670-019-00165-8#Sec6



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