Ok, say I'm an ancient greek and want to develop a new field of mathematics: irrational numbers. How would I apply the scientific method to 'start off' this new field ?
How can I ever observe the square root of 2 in nature ?
How about imaginary numbers, such as i ?
Or how do I 'observe' the periodicity of a number ?
or that 0,9999 ... = 1 ?
or that A x B = B x A ?
Edited by slevesque, : No reason given.