Date: Jul 8, 2014 5:04 PM
Author: Brian Q. Hutchings
Subject: Re: 1.93 - Did anyone understand what Euclid had to say about number<br> before John Gabriel?

"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.
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> 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.
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> 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.
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> 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.
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> So, these are just a few things for you morons to think about.