On 2/1/2013 3:52 PM, Craig Weinberg wrote:
On Friday, February 1, 2013 2:29:21 PM UTC-5, Stephen Paul King wrote:
On 2/1/2013 8:07 AM, Craig Weinberg wrote:
On Friday, February 1, 2013 12:12:17 AM UTC-5, Stephen Paul King
On 1/31/2013 6:12 PM, Craig Weinberg wrote:
On Thursday, January 31, 2013 5:38:28 PM UTC-5, Stephen Paul
On 1/31/2013 4:46 PM, Telmo Menezes wrote:
What's an entity?
Any system whose canonical description can be
associated with some kind of fixed point theorem.
Nice. Interestingly this just came up on another list five
minutes ago. Some interesting etymology too:
1590s, from Late Latin entitatem (nom. entitas), from
ens (genitive entis) "a thing," proposed by Caesar as prp.
of esse "be" (see is), to render Greek philosophical term to
on "that which is" (from neuter of prp. of einai "to be;"
see essence). Originally abstract; concrete sense in English
is from 1620s.
late 14c., from Old French entier "whole, unbroken,
intact, complete," from Latin integrum (nom. integer; see
A slightly different meaning when we formalize it... a
literal entity has a thingness definable by position. A more
figurative or casual reference could mean like a 'the aspect
of a presence or representation which emphasizes its closure'.
Position is one kind of dimension that is identifiable
via a fixed point, for example: Craig is at such and such an
I would tend to consider address just another kind of position
though. Is there an example of something which fixed point
theorem addresses which is not a dimension which can be defined
by position? Isn't the act of fixing a point the same as
formalizing a position?
No, its about the relation between object and context in a
dynamic sense. Look at the variability in fixed points here:
Look at what all have in common: Some transformation on a
collection, some closure of that which is transformed and some
invariant - the fixed point.
Oh, sorry I didn't realize that was a specifically defined term. F-p
theorem seems too narrow to me to contain the casual use of 'entity',
as x or f(x) is already an entity regardless of any operations of
coordination of values. A ghost in a dream can be an entity, or a
legal entity can be purely conceptual. Unless you are looking at
'entity' as a mathematical description only.
What ever the entity is, it is its representation that we actually
discuss, thus it is 'purely conceptual'. I am going for a broad strokes
definition that can be adapted to specific cases...
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