[sdiy] slightly ot: Chua circuit and chaos

[Czech Martin]

>There is a thing called the "cardinality" of infinite sets. In other words,
>you can quantify how infinite an "infinite" set is.
>Whole numbers have the cardinality of "Aleph Null" which is the lowest
>cardinal order. Real numbers have the cardinality of "c" or the continuum,
>the next larger cardinal number.

I think this is one reason for the ongoing debate on infinity
and real numbers... you can't count real numbers by 
giving each one a tag with a natural number. I think this was proven
by Georg Cantor who seems to have discovered (or published)
some paradox situations with infinite sets.

>Mathematics has simply discovered natural behavior (that's a joke, OK).
>So it is possible that so called "Chaos" is the normal state of things and
>our several hundred year illusion of predictability is just a sensor ghost.

The incredible success of calculus and it's application to 
celestial movement (ONE sun and ONE planet) perhaps made
people a bit wanton (is this the right word?).
I think that people were clever enough to see that ONE sun and TWO
planets give trouble andstayed away from that.

Has anybody seen an analog computer to simulate such a 3 body
system?

m.c.