# Re: imaginary numbers in comp

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On 13 Sep 2012, at 17:44, Roger Clough wrote:```
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```Hi everything-list

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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
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This is pleasant but far stretched.

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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.
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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.
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?  Isn't there an intuitive mathematics ?
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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.
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In comp, that intuitive solipsist first person is given by the Bp & p variants of GĂ¶del's Bp.
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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.
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Bruno

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Roger Clough, rclo...@verizon.net
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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