Ordinal calculator evaluates ordinal expressions and relations. displaying the normal form output in plain text and/or TeX format. It supports notations for ordinals through and somewhat beyond those definable by the Veblen function.

The Ordinal Calculator is an interactive tool for understanding the hierarchies of recursive and countable ordinals. It is also a research tool to help to expand these hierar-chies. Its motivating goal is ultimately to expand the foundations of mathematics by using computer technology to manage the combinatorial explosion in complexity that comes with explicitly dening the recursive ordinals implicitly dened by the axioms of Zermelo-Frankel set theory. The underlying philosophy focuses on what formal systems tell us about physically realizable combinatorial processes.

Ordinal calculator Features:
1. Interactive tool to understand the recursive ordinals
2. Ordinal arithmetic calculator
3. A research tool for investigating the ordinal hierarchy
4. Supports the Veblen hierarchy, the Veblen function and beyond
5. LaTeX output option

Command line options
The standard name for the ordinal calculator is ord. Typing ord (or ./ord) ENTER will start ord in command line mode on most Unix or Linux based systems. The other command line options are mostly for validating or documenting ord.

The license of this software is Free, you can free download and free use this calculator software.