Like I stated in another forum- mathematics is just another language... it's just a little bit more precise than spoken words and lends itself well to the Sciences.
As to the idea of 'qualifications'... here's my two cents:
Guy goes through school, goes to a university- he has a goal of being a scientist in the discipline of Whateverness. He learns *everything* that everyone has ever written about Whateverness, and is a walking oracle of knowledge on the subject.
Nother guy reads a book about Whateverness, and decides that Whateverness should rather be considered Whateverz instead. He starts to experiment to prove himself right.
If he fails, he's just another 'garage experimenter'. If he succeeds... he's a 'maverick' if he can't be refuted, and a 'genius!' if he gets accepted!
Nicolai Tesla. Genius. Inventor par excellance! Credentials? Here's what Wikipedia reports:
Tesla then studied electrical engineeringat the Austrian Polytechnic in Graz (1875). While there, he studied the uses of alternating current. Some sources say he received Baccalaureate degrees from the university at Graz.[13][14][15] However, the university says that he did not receive a degree and did not continue beyond the first semester of his third year, during which he stopped attending lectures.[16][17][18][19] In December 1878 he left Graz and broke all relations with his family. His friends thought that he had drowned in Mura. He went to Maribor, (today's Slovenia), where he was first employed as an assistant engineer for a year. He suffered a nervous breakdown during this time. Tesla was later persuaded by his father to attend the Charles-Ferdinand University in Prague, which he attended for the summer term of 1880. Here, he was influenced by Ernst Mach. However, after his father died, he left the university, having completed only one term.[20]
Tesla pushed the envelope. Outside the box. He was an
original, not a copycat, or a knock-off. It has been very few men who've toed the line of formality in education who've reached beyond 'what is known' to actually discover something
new. Truth be told- most of even
those men had educations in other disciplines of science!
Don't put so much faith in paper, or other people's opinions of other people. Make up your
own mind.
Question dogma.
Look for reality with your
own eyes, you know?
Mike H.
"I have no fear to shout out my ignorance and let the Wise correct me, for every instance of such narrows the gulf between them and me." -- Michael A. Harrington