文章基本信息

标题：Is Word Order Asymmetry Mathematically Expressible?
本地全文：下载
作者：Koji Arikawa
期刊名称：Biolinguistics
电子版ISSN：1450-3417
出版年度：2013
卷号：7
页码：276-300
语种：English
出版社：Biolinguistics
其他摘要：The computational procedure for human natural language (CHL) shows an asymmetry in unmarked orders for S, O, and V. Following Lyle Jenkins, it is speculated that the asymmetry is expressible as a group-theoretical factor (included in Chomsky’s third factor): “[W]ord order types would be the (asymmetric) stable solutions of the symmetric still-to-be-discovered ‘equations’ governing word order distribution”. A possible “symmetric equation” is a linear transformation f(x) = y, where function f is a set of merge operations (transformations) expressed as a set of symmetric transformations of an equilateral triangle, x is the universal base vP input expressed as the identity triangle, and y is a mapped output tree expressed as an output triangle that preserves symmetry. Although the symmetric group S3 of order 3! = 6 is too simple, this very simplicity is the reason that in the present work cost differences are considered among the six symmetric operations of S3. This article attempts to pose a set of feasible questions for future research.
关键词：cost;economy;equilibrium;Galois group;geometry;symmetry;third factor;transformation;unmarked word order