Lessons From The Cantor Transfinite Thread

>>From Osher Doctorow

In message #102 of the Cantor Transfinite Thread, I summarized some of
the lessons from the Cantor Transfinite Thread, which I'll repeat here
more briefly and which I may extend into other posts.

A. Key tests of what is Fundamental include not only the tests of time
and experience (Mass, Length, Time, Temperature, (Electric) Charge) but
what is interdisicplinary including Probability, Hope, Decision, Force,
Energy, Velocity or time rate of change, Acceleration, Integral, etc.

B. Fundamental algebraic operations related to A above include
addition/subtraction, multiplication/division, exponentiation, which
respectively reflect causal relationships between objects, internal
relationships of objects, phase changes of objects or their
environments.

C. What is constant is phase-limited in the sense of physical change of
state and often just takes values 1, 0, -1.

I also will add that in psychology and Biology, there are some
Fundamental concepts that have withstood the tests of time and
experience including Cognition, Perception, Emotion, and it is in these
senses that they deserve to be called Dimensions especially. I suspect
that the Unknown (Semantic Information or Knowledge that we don't
currently know) is also a Dimension.

Osher Doctorow

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