On 13 Sep 2012, at 17:44, Roger Clough wrote:
Hi everything-list
Since human thought and perception consists of both a logical
quantitative or objective
component as well as a feelings-spiritual qualitative or subjective
components,
would it make any sense to do comp using complex numbers, where
the real part is the objective part of the mental
the imaginary part is the subjective part of the mental
This is pleasant but far stretched.
You might appreciate the imaginary time (t' = it) making relativity
euclidian (instead of Minkowskian), but the relation between subject
and physical time is too much speculative for me, especially that I am
currently doubting the old link between consciousness and subjective
time.
Comp cannot use infinite objects, but you can do it with rational
complex numbers, or rational octonions, it is most plausibly as much
Turing universal. But real numbers are not, so an embedding of a
number structure in another does not necessarily preserve the Turing
universality.
? Isn't there an intuitive mathematics ?
We can argue that intuitionist mathematics, and constructive
mathematics, or the abandon of the third excluded middle lead to a
more intuitive mathematics. It is the logic and math of a self which
extends itself, as opposed to the self open to meet the non
constructive "other", when you free the third excluded middle. But in
arithmetic that chnages nothing, as the intuitionist can translate the
"other" by the use of the double negation.
In comp, that intuitive solipsist first person is given by the Bp & p
variants of Gödel's Bp.
You should (aslo) study more logic before restructing math to the
quantitative. I doubt this already for topology, and certainly for
logic and model theory. It is a confusion of the syntax and its
possible interpretations, a process already studied in logic.
Bruno
Roger Clough, [email protected]
9/13/2012
Leibniz would say, "If there's no God, we'd have to invent him
so that everything could function."
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