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A formal cognitive model of mathematical metaphors

A formal cognitive model of mathematical metaphors

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Original languageEnglish
Title of host publicationKI 2009: Advances in Artificial Intelligence
Subtitle of host publication32nd Annual German Conference on AI, Paderborn, Germany, September 15-18, 2009. Proceedings
EditorsBärbel Mertsching, Marcus Hund, Zaheer Aziz
Place of PublicationBerlin
PublisherSpringer
Pages323-330
Number of pages8
ISBN (Electronic)9783642046179
ISBN (Print)9783642046162
DOIs
StatePublished - 2009
Event32nd Annual Conference on Artificial Intelligence - Paderborn, Germany

Publication series

NameLecture notes in computer science
PublisherSpringer
Volume5803
ISSN (Print)0302-9743

Conference

Conference32nd Annual Conference on Artificial Intelligence
Abbreviated titleKI 2009: AI and Automation
CountryGermany
CityPaderborn
Period15/09/0918/09/09
Internet address

Abstract

Starting from the observation by Lakoff and Núñez (2000) that the process for mathematical discoveries is essentially one of creating metaphors, we show how Information Flow theory (Barwise & Seligman, 1997) can be used to formalise the basic metaphors for arithmetic that ground the basic concepts in the human embodied nature.

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