On 28 Nov 2010, at 21:18, Pzomby wrote:
On Nov 27, 10:49 am, Rex Allen <rexallen31...@gmail.com> wrote:
On Thu, Nov 25, 2010 at 7:40 PM, Jason Resch <jasonre...@gmail.com>
wrote:
On Thu, Nov 25, 2010 at 3:38 PM, Rex Allen
<rexallen31...@gmail.com> wrote:
The same goes for more abstract substrates, like bits of information.
Rex
Assuming that by using the term ‘abstract’ it means ‘non-physical’,
But abstract does not mean non physical. "F = ma" is physical yet
abstract. It is a true (say) abstract relation that we infer from many
observation, and which can be instantiated in some concrete
relationship between bodies, for example.
is
it possible for information or anything to be ‘more’ or even ‘less’
abstract. Are not the physical and abstract realms pure unto
themselves with no possibility of being more or less abstract or
physical? In other words ‘abstract substrates” could be
incongruous.
This is theory dependent. Natural numbers are usually considered by
number theorists as being very concrete (yet immaterial) objects.
Relations between numbers are more abstract, and relations between
those relations are still more abstract. In math, algebra is
considered as more abstract than arithmetic. category theory is known
as very abstract. Lambda calculus contains a "concrete" abstraction
operator (indeed "lambda") capable of constructing more and more
abstract objects. It replace concrete/token immaterial object like
numbers (or strings) by variable one.
Bruno
Any clarification or examples on this issue would be helpful.
Thanks
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