Hi Richard,
You mean "provable statements" not "truths" per se... I guess. OK,
I haven't given that trope much thought.... I try to keep Godel's
theorems reserved for special occasions. It has my experience that they
can be very easily misapplied.
On 8/23/2012 1:24 PM, Richard Ruquist wrote:
Stephan,
Strong emergence follows from Godel's incompleteness because in any
consistent system there are truths that cannot be derived from the
axioms of the system. That is what is meant by incompleteness.
Sounds like what you just said. No?
Richard
On Thu, Aug 23, 2012 at 1:20 PM, Stephen P. King
<[email protected] <mailto:[email protected]>> wrote:
Hi Richard,
Ah! http://en.wikipedia.org/wiki/Strong_emergence
"Strong emergence is a type of emergence in which the emergent
property is irreducible to its individual constituents."
OK, but "irreducibility" would have almost the same meaning as
implying the non-existence of relations between the constituents
and the emergent. It makes a mathematical description of the pair
impossible... I don't think that I agree that it is derivable from
Godel Incompleteness; I will be agnostic on this for now. Could
you explain how it might?
On 8/23/2012 1:10 PM, Richard Ruquist wrote:
It is said that strong emergence comes from Godel incompleteness.
Weak emergence is like your grains of sand.
On Thu, Aug 23, 2012 at 12:48 PM, Stephen P. King
<[email protected] <mailto:[email protected]>> wrote:
Hi Richard,
Pratt's theory does not address this. Could emergence be
the result of inter-communications between monads and not an
objective process at all? It is useful to think about how to
solve the Sorites paradox to see what I mean here. A heap is
said to emerge from a collection of grains, but is there a
number or discrete or smooth process that generates the heap?
No! The heap is just an abstract category that we assign. It
is a name.
On 8/23/2012 9:44 AM, Richard Ruquist wrote:
Now if only someone could explain how emergence works.
Can Pratt theory do that?
--
Onward!
Stephen
"Nature, to be commanded, must be obeyed."
~ Francis Bacon
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