Hi Bruno,
There was a typing error in what I wrote originally. Please try it
again.
On 8/4/2012 7:50 AM, Bruno Marchal wrote:
[SPK]
Yes, and that is exactly why I am asking you to reconsider the
idea that "arithmetic is ontologically primitive"! When we reduce a
class to the ontological primitive level (meaning that all else
supervenes upon that class or some subclass thereof), then we make
the relational structure of that class degenerate. We literally
eliminate the meaningfulness of the class if we make it uniquely
primitive. This is why a primitive class is denoted as "neutral". It
cannot be "any particular thing", it is either "Everything" or
"Nothing" or both simultaneously (depending on your pedagogical
<http://www.merriam-webster.com/dictionary/pedagogical>stance).
I cannot give sense to that paragraph.
Are you familiar with the concept of degeneracy
<http://en.wikipedia.org/wiki/Degeneracy_%28mathematics%29>?
--
Onward!
Stephen
"Nature, to be commanded, must be obeyed."
~ Francis Bacon
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