On Wednesday, May 29, 2019 at 3:15:46 PM UTC-5, 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 >
This is the opinion similar to what most mathematicians think. Mathematics is a system that has objective truth. I don't necessarily "believe this," but I can see its point and will tip my hat towards it. In physics we tend often to view mathematics as more similar to rules of chess, and where the use of the rules defines the game. Here the game being how to model the physical world. I can see this as well. There is the Brouwer constructionist idea of mathematics that is related to this. Hilbert thought that mathematics was something existing on its own, which is the objectivist opinion, objectivist not in line with the quasi-philosophy of Ayn Rand, which is related to Plato's ideas of there being ideal forms outside of physical forms. What is the relationship between physics and mathematics? I have not the slightest clue. I see this as similar to Garrison Keillor's *Guy Noir* who in the introduction would have, "On a dark night in a city that knows how to keep its secrets, one man searches for life's persistent questions. Guy Noir private eye." As I recall the quote. LC -- 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/0b000a29-c46f-493d-a9e2-396c5544f08e%40googlegroups.com.
