honorentheos wrote:I find the debate behind, "Are mathematics a discovery or invention?" fascinating. The question of if our use of mathematics and science to codify what we observe in the universe and make accurate predictions is also fascinating for similar reasons. I tend to come down on the side of invention rather than discovery.
Honor,
Ten years ago, I would taken the opposite view. However, amazingly complex and convoluted mathematics have been developed over that time to describe string theory. Some of it requires work in coordinate systems of more than 10 dimensions (some claim as high as 26).
This approximate 10 dimensional math has developed to the point where it appears internally consistent and valid as a mathematical construct. Yet, with the failure (so far) of the LHC to find any of the supersymmetry particles predicted by many of the string theory versions, it now seems unlikely that this math actually describes nature, or is in any way an aspect of nature to be "discovered". There are almost certainly other examples of this kind of dead end mathematical invention, but I can't come up with any off the top of my head.
So, I would now agree with your stated view on this issue. New information can lead to new views of the world - often extending to the very fundamentals - even for those of us who may be considered boring, brittle scientistic hardasses by certain apologetically inclined religionists.