I wonder if philosophers have noticed that properties can be separated
from objects in quantum mechanics, c.f. Cheshire Cat experiments?
Brent
On 5/30/2019 5:50 AM, Tomas Pales wrote:
On Wednesday, May 29, 2019 at 10:15:46 PM UTC+2, Jason wrote:
Appears to predict the arithmetical reality:
"There exists, unless I am mistake, an entire world consisting of
the totality of mathematical truths, which is accessible to us
only through our intelligence, just as there exists the world of
physical realities; each one is independent of us, both of them
divinely created and appear different only because of the weakness
of our mind; but, for a more powerful intelligence, they are one
and the same thing, whose synthesis is partially revealed in that
marvelous correspondence between abstract mathematics on the one
hand and astronomy and all branches of physics on the other."
https://monoskop.org/images/a/aa/Kurt_G%C3%B6del_Collected_Works_Volume_III_1995.pdf
<https://monoskop.org/images/a/aa/Kurt_G%C3%B6del_Collected_Works_Volume_III_1995.pdf>
on
page 323.
Jason
In philosophy, the relation between abstract and concrete objects is
called "instantiation", for example between the abstract triangle and
concrete triangles. It is a relation whereby the abstract object is a
property of the concrete objects and the concrete objects are
instances of the abstract object. The instantation relation is
regarded as primitive, similarly like the composition relation between
a collection of objects and the objects in the collection. The
instantiation relation may appear more mysterious though, because
while it is quite easy to visualize a collection, it is impossible to
visualize an abstract object.
Abstract and concrete objects are existentially dependent on each
other, because there can be no property without an object that has the
property, and there can be no object that has no property.
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