Classification: Logician GeneralÕs Warning

Donald Byrd, School of Informatics and School of Music, Indiana University

rev. late January 2007

 

¥       Classification (in the ordinary way) is dangerous to your understanding.

      Classification ordinarily means hierarchic classification

      Hierarchic means subdividing cleanly into categories; often subcategories. But...

      Almost everything in the real world is messy

       Absolute correlations between characteristics are rare

       Example: some mammals lay eggs; some are ÒnakedÓ

       Example: is the piano a keyboard, a string, or a percussion instrument?

       Example: Ginger Baker says Cream was Ònot really a rock groupÓ

¥         People often say Òan X has characteristics A, B, C, DÉÓ

¥         They nearly always mean Òan X has characteristic A [or B or C orÉ], and usually also A, C, DÉÓ

       NB: most fundamental one may not be the one mentioned first

¥         Important special case: partitions (ÒflatÓ classifications, without subcategories)

       Example: ÒIs Bred still in love with Jan, or is he having an affair with Operetta?Ó

       Example: arguments against faster-than-light travel

¥         Messiness of the real world leads to:

       People who know better claiming absolute correlations

       Arguments among experts over which characteristic is most fundamental

       ÒIs it this or that or that?Ó questions that donÕt have an answer

       Don changing his mind

¥         So should we abandon hierarchic classifications?

       Of course not: they're much too useful

       But be on your guard for misleading ones!

 

 

 


Comments to: donbyrd(at)indiana.edu
Copyright 2006-07, Donald Byrd