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

共 50 条

[31] The Capitalistic concentration. Theory and concept formation
Wolfers, Arnold
ARCHIV FUR SOZIALWISSENSCHAFT UND SOZIALPOLITIK, 1931, 66 (03): : 645 - 648
[32] NEURAL THEORY OF ASSOCIATION AND CONCEPT-FORMATION
AMARI, SI
BIOLOGICAL CYBERNETICS, 1977, 26 (03) : 175 - 185
[33] MEDIATION THEORY APPLIED TO CONCEPT-FORMATION
WITTROCK, MC
AMERICAN PSYCHOLOGIST, 1963, 18 (07) : 382 - 382
[34] FACILITATION OF CONCEPT-FORMATION THROUGH MEDIATED GENERALIZATION
MEDNICK, SA
FREEDMAN, JL
JOURNAL OF EXPERIMENTAL PSYCHOLOGY, 1960, 60 (05): : 278 - 283
[35] Formation and Development of the Scientific School of the Mathematical Theory of Filtration
Sergienko, I. V.
Khimich, O. M.
Klyushin, D. A.
Lyashko, V. I.
Lyashko, S. I.
Semenov, V. V.
CYBERNETICS AND SYSTEMS ANALYSIS, 2023, 59 (01) : 61 - 70
[36] Formation and Development of the Scientific School of the Mathematical Theory of Filtration
I. V. Sergienko
O. M. Khimich
D. A. Klyushin
V. I. Lyashko
S. I. Lyashko
V. V. Semenov
Cybernetics and Systems Analysis, 2023, 59 : 61 - 70
[37] The concept as a formal sign
Osborne, Thomas
SEMIOTICA, 2010, 179 (1-4) : 1 - 21
[38] THE BASIC CONCEPT OF THE SIGN
PEARSON, C
PROCEEDINGS OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE, 1980, 17 : 367 - 369
[39] Questioning the concept of the sign
Christin, AM
DEGRES-REVUE DE SYNTHESE A ORIENTATION SEMIOLOGIQUE, 1999, (100): : i1 - i12
[40] Mathematical education technology based on the theory of cognitive constructivism and concept map
Yu, PT
Own, CM
INTERNATIONAL CONFERENCE ON COMPUTERS IN EDUCATION, VOLS I AND II, PROCEEDINGS, 2002, : 1236 - 1240

← 1 2 3 4 5 →