"vector mechanics is isomorphic to quaternions, after Gibbs got through with the latter
example, a complex number is not a number. It is a quasi-number object with some useful properties that can be applied in theorems mostly. > > > > Fourier series is another example: while complex numbers appear throughout the topic, Fourier series is useful because of trigonometric properties and does NOT require complex numbers at all. > > > > The advent of Cantorisation in mathematics was a great setback with regards to the advancement of the subject. Cantor attempted (but failed miserably) to define the number concept in terms of containment, rather than measurement. > > > > Finally, consider that an alien race in another part of the universe would only arrive at the correct concept of number if they had realised it in the Euclidean approach. I know of no other approach. What this means is that there is no other known approach because YOU are my inferiors. If there were, I would have known about it. > > > > So, these are just a few things for you morons to think about.