Primacy of Self-founded Geometry

Professor F. William Lawvere's ‘Introduction to Linear Categories and Applications’ (github.com/mattearnshaw…) along with his ‘Categories of Space and of Quantity’ (github.com/mattearnshaw…), where contrasting linear and distributive categories are compared to those of quantities and spaces, respectively, provide an in-depth discussion of the categories encountered in linear algebra. Linear categories and linear algebra are also discussed in Lawvere & Schanuel ‘Conceptual Mathematics’ textbook (github.com/mattearnshaw…) and in Lawvere & Rosebrugh ‘Sets for Mathematics’ (github.com/mattearnshaw…). Categories of linear algebra are also discussed in Arbib and Manes ‘Arrows, Structures, and Functors’ textbook. It is interesting to note that the categories of linear structures quantifying spaces are within the categories of spaces (github.com/mattearnshaw…).