#### PG1995

##### Full Member level 5

Some people are of the position that math is discovered while others say it's invented. I think in a way both parties are at extreme ends. I think math is discovered as well as invented. There are some fixed mathematical relations in nature which exist on their own such as ratio of circumference over diameter, golden ration, ratio of sides of triangle, etc. These 'natural' relations constitute part of discovered mathematics. Then, humans use these relations and invent some of their own systems to create new math which is amalgamation of 'discovered' and 'invented' mathematics. This also implies that mathematics as a whole is not a universal language. I believe the part which includes natural relations (such as ration of circumference and diameter) is universal and will be true and applicable everywhere. But the part which contains human innovations and inventions is not universal. Recently someone told me that Godel's incompleteness theorem proves this point. What is your opinion on this? Please let me know. Thank you.

Regards

PG