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Ken S. Tucker...
Posted: Thu Jun 19, 2008 7:07 pm
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On Jun 18, 6:34 pm, Edward Green <spamspamsp... at (no spam) netzero.com> wrote:
Quote:
On Jun 18, 7:44 pm, "Ken S. Tucker" <dynam... at (no spam) vianet.on.ca> wrote:

On Jun 18, 10:14 am, Edward Green <spamspamsp... at (no spam) netzero.com> wrote:

That is, how much math?

I know Clifford algebras are popular, but are they necessary?
Quaternions? Grassman thingamgigs?

Lie groups and differential geometry are probably essential, and group
theory in general. Topos theory probably not?

Please help direct my feeble self study. Thanks.

With all due respect, I think the process started
when 2+2 = 5-1, when the "-" was sub'd for "+".
I recall that in early grade school. Do you guys
recall when the "-" operator was introduced?
Ken

Probably subtraction belongs in the "necessary" column, though I may
be going out on a limb here. Smile

That's what SPF is for!

Quote:
There are names for things with no inverses, hence no "substraction".
I wonder how far we could get with that restriction, in physics.

Not far (IMO), I'll focus on Edwards "inverses", then
ref to Boolean's "universal inverter logic gate(s)" aka NAND,
http://hyperphysics.phy-astr.gsu.edu/Hbase/Electronic/nand.html

All *digital* logic can be constructed or equated to
NANDS. I often write computer based "sims", and
all math functions can programmed...so far.
In the case of integration and differentiation, the
reproduction of the result depends upon the tiny
increment. I expect it would be impossible to sim
a continuum using a computer.

The NAND possesses a natural relativity in that
the output result is quantized depending upon the
relative inputs, and all our measurements end up
being quantized, therefore, I'd conclude our entire
knowledge of the universe can be use the NAND.
Regards
Ken S. Tucker
 
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