Calculi based on an equal sign are called algebras. ⇒ The Equal Sign

The algebraic style of Boundary Math includes maintaining equality by transforming containment relations that match clearly defined patterns. If a containment pattern does not match a rule, then it cannot be changed. More generally the Axiomatic Principle constrains what can be done within a formal system.


of James algebra, the transformations that are designed to define the behavior of the arithmetic and algebra of numbers.

Tai-Danae Bradley's thesis arxiv concerns the equation: Algebra + Statistics = ?

This was an amazing innovation which applied a Mixture of Algebra and Geometry to the study of language, that is, language in its role as the medium of argumentation.