Re: Independent/Dependent Phases

>>From Osher Doctorow

Does the difficulty regarding partial derivatives extend beyond the
accelerating Universe and the Riccati Differential equation scenarios?
Yes!

Quantum Physics uses the Schrodinger Equation which is a partial
differential equation, and General Relativity uses tensors involving
partial differential equations or their generalizations to covariant
derivatives, not to mention the Heisenberg and Superstring and Brane
and Loop Quantum Gravity and Gauge and other theories and
methodologies.

So we arguably don't quite know what we're doing when using partial
derivatives or their generalizations, but it doesn't mean that we
should throw out the theories - it means that, just as we're looking
for Higgs and quantum gravity, we need to look for an underlying
independence/dependence structure of the Universe and also a
deterministic versus nondeterminstic structure which is insufficiently
specified at present if the indications from my Acceleration of the
Universe thread are correct.

Even "worse" (or "better", depending on one's sense of exploration in
this particular topic), it seems now arguable that causation,
independence, and dependence, and even "noncausation" are
insufficiently specified and distinguished and discriminated or
integrated throughout the sciences and mathematics. These words are
arguably waiting for generations of Euclids to start defining them from
start or "step 1".

It probably takes a lot of courage to start such defining. Why human
beings had the courage to start defining in Euclidean geometry is
difficult to know, since nothing that elaborate and well discriminated
and well related or integrated seems to have occurred in regard to
causation, noncausation, independence, and dependence and random and
nonrandom.

My guess is that people (or a few people) had the courage to do it
purely because human vision as a sense is more concrete or "grabs the
attention" more than auditory or other senses under ordinary
circumstances. The triggering cause seems to have arguably been
creating monuments or in the hopes of leaders "eternal resting places"
in the days of the Pharoahs and their analogs in other Ancient
civilizations. The pyramids and presumably the Sphinx required
geometry and arguably both inspired geometry and were inspired by
geoemtry at various times.

Osher Doctorow

.

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