Did you watch the clip I linked to?GrahamH wrote:Well, Penrose actually says mathematics is a means of describing the world. We don't think that a description of a tree is fundamental to a tree's existence, why should we think that "laws of maths" define, rather than describe, the physical world?Little Idiot wrote:...
I have suggested, and demonstrated that mathematical knowledge does not depend upon the empirical. You say ‘who are you to say this’ or ‘argument from ignorance’ Here is an oxford mathematician saying, (as mathematicians do) that the universe operates with great precision according to laws of math, and these laws have an existence not dependent the physical existence – not as some of you would suggest maths operates according to empirical laws, which is the other way round!...
Do you think atoms are mathematicians?
Mathematics can be explored, but so can language. Given a descriptive tool set arising from the empirical does not suggest the tools are limited to describing things that exist.
He says there are 3 existent 'worlds'; physical, mental, mathematical. He says this is not dualist but tri-ist in one sense. His words not mine.
So yes, math can describe the physical, but there is a lot of maths which does not do so.
He explains it a lot better than I did here, but this is the gist of it.
So no, atoms are not mathematicians, they dont 'know' the rules of maths, but they do follow these rules; and whats more the rules existed before the atoms and the rules will still exist after the atoms no longer do.