Author: Abler, William L.

Source: Science Progress, Volume 89, Number 1, February 2006 , pp. 61-70(10)

Publisher: Science Reviews 2000 Ltd

Abstract:

Sentences share with equations properties of discrete, linear infinities; distinct symbol types; alternation of symbol types in the signal; deepstructure with a main verb and recursion; associative, commutative, and distributive properties; autonomous levels of organization; paraphrase, ellipsis, and ambiguity; powers of assertion, truth and falsity; modification of an entire statement; and a blank proxy element. Sentences are derived from the symmetrical equation by applying a single asymmetry transformation. The self-regulated, autonomous nature of the symmetrical equation is the antithesis of natural selection, which is contingent upon local conditions. The dependence of the sentence upon the equation means that the idea of language evolution presents numerous obstacles. For the most part, ideas contained in this paper are adapted from the author's book, Structure of Matter, Structure of Mind.

Keywords: language; mathematics; foundations; origin; evolution

Document Type: Research article

DOI: http://dx.doi.org/10.3184/003685006783238362

Affiliations: 1: Department of Geology, The Field Museum, 1400 South Lake Shore Drive, Chicago, Illinois 60605, USA

Publication date: 2006-02-15

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