A zoomable transfinite number-line of the ordinal numbers, currently going up as far as Γ0. Use the mouse to move and the left and right buttons to zoom in or out, Q or Escape quits. Note that there is currently a limit to the depth you can zoom to before the accuracy runs out.
In simple terms, for every set of transfinite numbers there is a smallest number larger than all of them, which explains why the finite numbers can be grouped together to get the first infinite ordinal ω and then this can be grouped with them to get ω+1 and so on (for a very long way). It is impossible to write a program to display a complete number line up to or any further than ω1CK (the Church-Kleene ordinal), but displays of ordinals smaller than that but larger than Γ0 are still possible.
Run the program directly. The program is Windows only, ignore security prompts and click Open/Run.
- - - [Download] - - -
Many of the files here are compressed with WinZip![[Open External Link in New Window]](/hidden/openwindow.png)
, a trial version of which you can download for free. Or using WinRAR, which I've tested and found to offer roughly 25% better compression.
Ordinal Number Line to Γ0 (RAR file, 82K; Zip file, 95K; paq8o9 file, 56K).
Decompress to a directory and run the EXE file.
Ordinal Number Line to ε0 (RAR file, 47K; Zip file, 52K; paq8o9 file, 34K).
Decompress to a directory and run the EXE file.
- - - [Screenshots] - - -
