A mathematical theory of sign-mediated concept formation

被引：7

作者：

Neuman, Yair ^{[1
]}

Nave, Ophir ^{[2
]}

机构：

[1] Ben Gurion Univ Negev, Off Interdisciplinary Res, IL-84105 Beer Sheva, Israel

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 201卷 / 1-2期

关键词：

concept formation; category theory; pushout; pullback; semiotics; interdisciplinary research;

D O I：

10.1016/j.amc.2007.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Cognitive theories of concept formation have usually ignored the fact that, as a natural part of their cognitive development, people form concepts through the linguistic mediation of signs. In this paper, we propose a mathematical theory of sign-mediated concept formation (SMCF). This theory relies heavily on ideas from category theory, specifically the ideas of pushout and pullback. The theory addresses some of the major problems in modeling concept formation, including family resemblance and contextuality, and has potential applications for a wide variety of tasks involving concept computation. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：72 / 81

页数：10

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