Le 08-sept.-06, à 05:42, [EMAIL PROTECTED] a écrit :
> It must consist of the 'movement' of mathematical forms through
> state space. The only conclusion that can be drawn from this is that
> mathematical truth is not fixed, but can vary with time - because
> that's exactly what 'the movement of mathematical forms through
> state space' represents... the shifting of mathematical truth.
> And I suggest *that Qualia are precisely these abstract processes* !!!
> Hope this all makes a bit more sense.
I would certainly encourage you in that direction, although I am not
sure you are aware that even "modern math" is going in a similar
direction. Seeing qualia as mathematical *motions*, as you said in
another post, can be related in a precise way with the arithmetical
hypostases (comp notions of n-person) once you realize that modal logic
is already a way to tackle notions of shifting mathematical truth: once
for each world in a multiplicity (sometimes a continuum) of worlds.
Modal logic, but also Cohen's forcing technic in set theory, have led
to a vast literature on variable truth.
The MWI itself can be seen in that context too. The whole category
approach to math and logic can also be seen as a way to study variable
notion of truth, especially through the notion of topos (boolean valued
or not). All what you say, as far as I understand it, can, and perhaps
should, be recasted in such a frame. Note that with comp, for technical
reasons which I intuit only through my "understanding" of quantum
mechanics, the quanta appears themselves to be sharable (first person
plural) qualia having relational and somehow variable truth values
attached to it too.
The advantage of modal logic and category theory is that such "variable
truth" approach can be based on common non-variable usual notion of
mathematical truth, making it possible to prevent extreme relativism
which often appears in corresponding approaches in less rigorous
philosophical works. I think this is not a problem for you, especially
seeing your today's post (with which I do agree).
Technical remark: all arithmetical hypostases (godel-lobian derived
notion of n-persons) come equipped with their own notions of
"multiverses" (not all are Kripkean one), and so they are all equipped
with a canonical notion of variable truth, but only the 1-person
hypostase (and probably the sensible matter hypostase) got a notion of
temporal-like (albeit bifurking) notion of variability. With the other
hypostases, truth varies, not in a temporal way but in a more abstract
and logical way.
With those remarks what you say makes sense for me,
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