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: 
> > 
> > 
> > <
> http://multisenserealism.files.wordpress.com/2013/09/identity3.jpg?w=595> 
> > 
> > 
> > <
> http://multisenserealism.files.wordpress.com/2013/09/identity3.jpg?w=595> 
> > 
> > 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, 
> so 
> > 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.

Craig


>
> -- 
>
> ---------------------------------------------------------------------------- 
>
> Prof Russell Standish                  Phone 0425 253119 (mobile) 
> Principal, High Performance Coders 
> Visiting Professor of Mathematics      hpc...@hpcoders.com.au<javascript:> 
> University of New South Wales          http://www.hpcoders.com.au 
> ---------------------------------------------------------------------------- 
>
>

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