(June 10, 2020 at 7:28 am)Fake Messiah Wrote: While many important mathematical techniques and concepts were developed in large part precisely in order to serve the purpose of describing laws of nature, there are plenty other cases where mathematical concepts were first developed with no particular intended application, and then later found application in an unexpected physical domain. For example: Group theory and Manifold theory...
Ok, but that's not something that disagrees with what I'm saying/pondering. Regardless of initial intent, if some mathematical concept ends up being mapped to the real world in a way that is unexpected, what's the story behind it? Right assumptions made about the world, therefore with right constraints, these concepts can be applied? Or is there something rather deep about this whole thing (whether it's a God or some other interesting phenomenon happening)?
Belaqua, I'll give that a watch once I'm done with chores. It's Penrose, so I'm going to take him seriously.
