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math.LO2026
The Q-Calculus: A Quaternion-Based Laws of Form System
Louis H. Kauffman, Arthur M. Collings
This paper introduces a Laws of Form version of the Quaternions. We call this the Q-Calculus, a 16-valued extension of Laws of Form (LoF) which is closely related to the BF Calculu…
math.LO2019
The BF Calculus and the Square Root of Negation
Louis H. Kauffman, Arthur M. Collings
The concept of imaginary logical values was introduced by Spencer-Brown in Laws of Form, in analogy to the square root of -1 in the complex numbers. In this paper, we develop a new…