Resolving the Infinitude Controversy

Journal of Logic, Language and Information 23 (4):481-492 (2014)
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Abstract

A simple inductive argument shows natural languages to have infinitly many sentences, but workers in the field have uncovered clear evidence of a diverse group of ‘exceptional’ languages from Proto-Uralic to Dyirbal and most recently, Pirahã, that appear to lack recursive devices entirely. We argue that in an information-theoretic setting non-recursive natural languages appear neither exceptional nor functionally inferior to the recursive majority

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Andras Kornai
Budapest Institute of Technology