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Ordinal arithmetic calculator and research tool

Version 0.2.0 beta Released

Download ordCalc_0.2.0 beta

Build and install from source (ordCalc_0.2.tar.bz2 1.1M) (or ordCalc_0.2.tar 24M)

This should build on most Linux or Unix development systems and on Windows systems with CYGWIN installed. The build requires the GMP and readline packages. If these are not installed on you system you may be able to install them with the command yum install gmp readline. This package includes the LaTeX source for all the documentation and the PDF documents generated from this source.

Install program and documentation on Windows (ordInstall.exe 3M)

This should work on most windows versions starting with Windows 2000. (See note below.)

Download documentation

All documentation is included in both the Windows installer and source code downloads. Use the following links for documentation only downloads.

User's manual --- "Using the ordinal calculator: For ordCalc 0.2" (ordCalc.pdf 190K)

Program description and the underlying mathematics "A Computational Approach to the Ordinal Numbers: Documents ordCalc 0.2" (ordinal.pdf 735K)

This document describes and references the mathematics on which the program is based. It also documents the program structure. This program was developed in the expectation that a programming approach to the ordinal numbers will eventually lead to an expansion of the foundations of mathematics. Thus it is hoped that others will consider expanding this program to larger ordinals.

The above downloads are also at

More about an analogue to recursive notations for countable ordinals that are not recursive

Release notes

Please send comments and problem reports to


Some problems have been encountered in this release in validation under NetBSD and they may affect other operating systems. These only affect the validation output and not the functioning of the ordinal calculator itself. A contributed patch and instructions to fix the problem can be downloaded as: patchRelease.txt and patch1.

Note for Microsoft Windows users

The Microsoft Windows version of this program has a known problem with line editing. All other features of the program work and it passes all validation tests, but you cannot edit what you have already typed on a line. If you have CYGWIN installed you can fix this problem by installing ord.exe in the CYGWIN bin directory. You may need to rebuild ord.exe under your version of CYGWIN

This code was built for Windows using CYGWIN. If you have installed CYGWIN on your Windows system, you may need to exit other CYGWIN applications to use this program because CYGWIN dlls from different versions may be incompatible. (You should be able to rebuild under your version of CYGWIN with the source code distribution.)

Version 0.1 of the ordinal calculator

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