On 30/08/2018 08:42, Gerald Kelleher wrote:
A brief digression is necessary before presenting an alternative
balance centered around observations where natural forms are neither
ordered nor disordered as opposed to the impossible and the extreme
duality that entertain mathematicians and their followers concerning
geometry.

The non-periodicity of the arithmetic Pi represents the relationship
between diameter and circumference where a radius represents a new
diameter within this structure. In other words if you can create a
circumference from a diameter it holds that there is also a radius.
This was covered nearly two decades ago at a time when celebrity
physicists would show up in the newsgroups -

(John Baez) wrote in message
...
In article , Oriel36
wrote something like:

For those who prize logic, this Planck length is the funniest
thing; seeing that this thread covers a wide range of groups it
is worthwhile posting a simple geometric refutation.

Draw a circumference around a Planck length, the circumference
being of course 3.141 times greater than the length, if you can
determine a circumference you can also determine a radius which
is half the original length and from this discrete length you
begin again constructing a circumference around this half Planck
length.

What you get geometrically is a form of the Zeno paradox and you
guys take the Planck length seriously!

[Actually this sort of argument goes back to the "Mutakallimun",
Jewish and Islamic philosopher/theologians of the 10th and 11th
centuries AD. Many of these were very fond of atomism, taking it
beyond Democritus to argue that *everything* was made of discrete
units - even space and time. Others brought forth certain
paradoxes to disprove this. John Baez]"


There is no lower limit to length otherwise Pi would possess a
periodic arithmetic or geometry would disappear altogether as a
discipline. Two decades on from pointing this out and with a much
softer overview of how the narrative developed I can't say I feel
sorry for mathematicians but I do realise that it was a time when
academics were trying to escape the confines of the clockwork solar
system by putting experimentation and mathematics at the heart of
physical sciences including the celestial arena.

The alternative approach based on a balance between order and random
does not reach for extremes nevertheless it has all the properties of
complex and intricate relationships that some people are comfortable
dealing with.

You have a wonderful way with word salad. Your utterances are invariant
under the application of the Shannonizer which is very unusual. Most
people manage to communicate something in their Usenet postings.

--
Regards,
Martin Brown