An axiomatization of family resemblance

We invoke concepts from the theory of hypergraphs to give a measure of the closeness of family resemblance, and to make precise the idea of a composite likeness. It is shown that for any positive integer m, for any general term possessing any extent of family resemblance strictly greater than m, there is a taxonomical representation of the term whereby each subordinate taxon has an extent of family resemblance strictly greater than m. 1 The Basic Idea The idea of family resemblance was introduced by Wittgenstein[1] as an ingredient of his account of what constitutes possession of a concept, and what is required for the application of a general term. The account is intended to be more satisfactory than corresponding accounts that rely upon the apprehension of essential properties: 66. . . . Consider for example the proceedings we call games. . .if you look at them you will not see something that is common to all, but similarities, relationships, and a whole series of them at that. . . l...

• Type: Journal
• Year: 2007
• Where: JAPLL
• Authors: Ray E. Jennings, Dorian X. Nicholson
• Keywords: Composite Likeness, Family Resemblance, General Term, JAPLL 2006, JAPLL 2007