doi: 10.17706/ijapm.2017.7.1.42-48
Attributes of Infinity
Kiamran Radjabli
- Utilicast, La Jolla, California, USA
Abstract
The concept of infinity is analyzed with an objective to establish different infinity levels. It is proposed to distinguish layers of infinity using the diverging functions and series, which transform finite numbers to infinite domain. Hyper-operations of iterated exponentiation establish major orders of infinity. It is proposed to characterize the infinity by three attributes: order, class, and analytic value. In the first order of infinity, the infinity class is assessed based on the “analytic convergence” of the Riemann zeta function. Arithmetic operations in infinity are introduced and the results of the operations are associated with the infinity attributes.
Keywords
- Infinity
- class
- order
- surreal numbers
- divergence
- zeta function
- hyperpower function
- tetration
- pentation
How to Cite
Kiamran Radjabli, "Attributes of Infinity," International Journal of Applied Physics and Mathematics, vol. 7, no. 1, pp. 42-48, 2017. https://doi.org/ 10.17706/ijapm.2017.7.1.42-48
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).