On 18 Aug 2012, at 17:38, Roger wrote:
Hi Bruno Marchal
There is ontological genocide here of everything but numbers.
Yes. It is not so a problem, as what we consider real from inside is
not the ontology, but the bigger epistemological reality which emerges
from the ontology, whatever it is if it is sigma_1 complete (Turing
universal).
"Concrete" (below) is here used as a mathematical type,
the implication beuing that the world is made up exclusively of
numbers.
This phrasing can be misleading. The world is not make up of numbers.
The worlds are better described as being dreamed by numbers. If you,
Roger, dream of a chair, you would not say that the chair is made up
of Roger, OK?
What ever happened to the Higgs boson ? What natural number is it ?
Excellent question. The detailed answer should look like:
numbers ---> self-reference ---> probability on self-continuation --->
arithmetical quantization ---> quantum symmetry groups ---> particles
---> boson.
the part "numbers ---> self-reference ---> probability on self-
continuation ---> arithmetical quantization" has already been done.
The part "quantum symmetry groups ---> particles ---> boson" is very
complex.
Whatever happened to meatballs ? Are they rational or irrational
numbers ?
Can you eat numbers ?
No, but the point is that person supervening on number relations can
dream (live) that they eat meat.
----------------------------------------------------------------------------------------------------------
"Concrete Number
a number that is accompanied by the name of a unit of measure (for
example, 5 m, 7 kg);
it is contrasted with an abstract number (for example, 5, 7). A
concrete number is termed simple
if it includes only one unit of measure and compound if it includes
several units of measure. For example,
the concrete number 3 m 67 cm is compound, but the equivalent
concrete number 367 cm is simple."
---------------------------------------------------------------------------------------------------------------------------
That only applies to the world of mathematics. Number just means
number, it cannot be for example something phnysical like a meatball.
You are completely right. But once you postulate the laws of addition
and multiplication, numbers organized themselves a lot, and that is
what lead to dreams of physical things. Physical things don't exist
ontologically, or "really". Physical things are just unavoidable
stable and partially shared experiences by persons supervening on
computations, existing in arithmetic.
This has the advantage of explaing where the physical realm comes
from, + the incompleteness gift which explains why it divides into
quanta and qualia, in the discourse of the self-observing machines/
numbers.
Bruno
http://iridia.ulb.ac.be/~marchal/
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