Mathematics, Recursion, and Universals in Human Languages
Computation and Language
2009-09-22 v1
Abstract
There are many scientific problems generated by the multiple and conflicting alternative definitions of linguistic recursion and human recursive processing that exist in the literature. The purpose of this article is to make available to the linguistic community the standard mathematical definition of recursion and to apply it to discuss linguistic recursion. As a byproduct, we obtain an insight into certain "soft universals" of human languages, which are related to cognitive constructs necessary to implement mathematical reasoning, i.e. mathematical model theory.
Cite
@article{arxiv.0909.3591,
title = {Mathematics, Recursion, and Universals in Human Languages},
author = {P. Gilkey and S. Lopez Ornat and A. Karousou},
journal= {arXiv preprint arXiv:0909.3591},
year = {2009}
}