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 > 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. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/a59b80c8-b58c-43f6-af87-a843735e35f8%40googlegroups.com.
