Content

The infinity and the two-element numbers

Infinity differently – a heuristic approach

Infinity described with homogeneous coordinates

The infinity and the geometric algebra

The complex and hyperbolic numbers as two-dimensional Clifford algebras - examples from the literature

The hiding infinity

Abstract
Types of geometric algebra generated by vectors of 1-dimensional vector space are not at all exhibit poor structure. These geometric algebras have very exciting basic structure as they are represented by two-element-numbers which are the complex, the parabolic (dual) and the hyperbolic numbers. On the other hand, special types of infinities – related to the continuum hypothesis – are modeled by the two-element numbers. So it can be said that vectors of 1-dimensional vector space, which generates the above mentioned geometric algebras are nothing more than the infinite extensions of scalars of the geometric algebras.

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