The problems of taxonomy are problems of order. Any discrete set can be arranged in linear order but it does not follow that any linear order is satisfactory. The separation of natural neighbors may be inevitable. Examples are Linnaeus' botanical classification, or the arrangement of logical classes (abed, abcd, ----) where a natural arrangement applies in general surfaces of connectivity greater than one, or n-dimensional space. Any number of interrelations of a discrete finite set can be indicated by a three dimensional model where the elements are points and the relations say colored lines, as in a Cayley color group abstracted from a surface.
Proceedings of the Iowa Academy of Science
©1920 Iowa Academy of Science, Inc.
Baker, R. P.
"The Taxonomy of Algebraic Surfaces,"
Proceedings of the Iowa Academy of Science, 27(1), 197-198.
Available at: https://scholarworks.uni.edu/pias/vol27/iss1/27