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Document Type

Research

Abstract

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.

Publication Date

1920

Journal Title

Proceedings of the Iowa Academy of Science

Volume

27

Issue

1

First Page

197

Last Page

198

Copyright

©1920 Iowa Academy of Science, Inc.

Language

en

File Format

application/pdf

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