Desiderata
Content
- The notion of number
- Desiderata to the extension of the numbers
- Summary
Abstract
Although the numbers are yet considered as the simplest abstractions of mathematics, it is increasingly taking shape is a picture in which the numbers will the most complex and exciting concept in mathematics. The geometric algebra is a probable candidate for the new number system, but desiderata of the author is unlike the criteria of the geometric algebra in three points:
- The number line of real numbers is orthogonal to the space-dimensions according to the definition of scalar product.
- As the fundamental operation of arithmetic the product is commutative.
- The space-dimensions evolve from time-dimension which is represented by number line of real numbers.
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