Mathematics and Tools

Interpretations

The laws of calling and crossing can be interpreted as a logical arithmetic. Different laws interpret the same structures as sets or numbers. The laws also relate to other fields, such as knot theory.
Spencer-Brown's Counter

A simple analysis of the counter in Laws of Form.
Tools

A number of simulators and editors for Laws of Form / Boundary Math expressions have been written over the years. Jeff James wrote the first one of which we are aware, called "iLogic" (for Imaginary Logic) in 1993-4 at Interval Research. iLogic showed clearly for the first time how the imaginary logic values behave, and allowed us to explore many new forms. iLogic has not been shown publicly or published, but we hope to do so, and perhaps to revive this program someday.

More recently, Francis Gastellu has written an excellent program called "Laws of Form Notebook" that can edit, display, and simulate LoF/BM expressions including imaginaries. You can download it here.


Copyright © 2000-2006 Richard Shoup (rgshoup at rgshoup.com), all rights reserved.