On 9/17/2013 6:50 PM, Russell Standish wrote:
On Tue, Sep 17, 2013 at 04:48:12AM -0700, Craig Weinberg wrote:

On Monday, September 16, 2013 9:22:36 PM UTC-4, Russell Standish wrote:
On Mon, Sep 16, 2013 at 10:34:42AM -0700, Craig Weinberg wrote:


Here’s a crazy little number that I like to call the Non-Well-Founded
Identity Principle. It woke my boiling brain up a few times last night,
I present it now in its raw state of lunacy.

The idea here is “For All A, A equals the integral between A and (the
integral between A and not A)”.
How are we to interpret this? You don't state what A is, but to have
an integration limit of A implies it is an element of a Lebesgue
measurable set. Yet the expression not-A implies that A is a set. Are
you doing integration over sets of sets? What is your Lebesgue measure
in this case?

In this case, A is the A of the Property of Identity, so that it can be
anything at all - set, group, number, hairstyle, memory of an ant - any
phenomenon which can be experienced in any way, directly or indirectly. I
am speculating on the nature of ontology itself, that to 'be' is to diverge
from the totality of being in this nested, integrated+semi-integrated way.

The Lebesgue measure is self-similarity. I am the integral of (my own
nature) and (the integral of (my own nature)(all differences between my
nature and the totality of nature excluding myself)). If we used a number,
then it would be "a number = the integral of (that number) and (the
integral of (that number) and (all Real numbers except that number).

I'm challenging the assumption that cardinality can exist in isolation.
Every number, expression, or identity is dependent on its relation with all
other identities, because I am assuming an unbroken context of whole truth
as the single truth in that (sole, primordial) context. I'm proposing a
threshold of universal identity which borrows 'it-ness' from it-self in a
particular way.


I'm sorry Craig, but none of that makes any kind of sense at all. You
might as well be speaking Chinese.

Chinese would be a lot better.  You could get somebody to translate. :-)


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