[Ham]
While I appreciate your interest, frankly you've lost me with
"topography of value sets" for measurement. What, exactly, are you
trying to measure, and what does it have to do with philosophy? Since
you seem to be excited by this discovery, possibly you can translate the
substance of TOPOS into plain English for commoners like myself.
[Case]
I hate to almost agree with Ham twice in one day but I really need an
example of how a whole new logic would work. When there is talk of
non-Euclidian geometry it is easily explained which of Euclid's axioms
are modified and simple to see at least some of the consequences.
While the notion of sheaves seems to relate to set theory somehow I
don't see the connection to fractal geometry. But I am all eyes and
ears.
{Ron}
Ham, Case,
If I gave off any inference of leveling I apologize.
I am going to attempt to explain why I see a connection between Topos
theory
And the Metaphysics of Quality.. I am going to attempt to present this
theory in a series of posts so that any flaws in my thinking may be
singled out in lieu of the dissemination of a single large Presentation
. So we may eliminate it as a possibility quickly , avoiding bothering
you any further on the subject. So if you smell garbage,
just holler.
Pirsig said, and we may all agree, all reality is comprised of value.
A complex system of value distinguished by four levels
Which all rely on the value system beneath it and are in a constant
state of change
in relation to the values of the other levels.
Physics is a system of measuring and modeling this value.
So that mathematical expressions serve as working models of physical
reality.
Traditional physics relies on true/false logic to represent this complex
set of values.
I argue that even the questions formed using this logic may determine
the answer
Derived.
Topos theory maintains all reality is comprised of value.
A complex system of value distinguished by topoi
Topoi are comprised of levels of value
Which all rely on the topoi beneath it and are in a constant state of
change
In relation to the values of other topoi.
Topoi are a body of several levels of value sets or sheafs. Sheafs are
composed of
A "topography" (like a digital terrain map with mountains and valleys of
a specific area) which
Are comprised of value sets using a specific algebra to measure a given
phenomena
Or model of a given phenomena within a specified range described by the
sheaf. by using a fractile set equation based on observed Or measured
phenomena, one sheaf becomes a factor in the next sheafs equation.
Instead of isolating a given phenomena and subjecting it to true/false
logic, you observe
Everything related to it and observe how it functions in relation to the
values supporting it.
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