Repository logo
 

Extended mathematical cognition: External representations with non-derived content

Published version
Peer-reviewed

Type

Article

Change log

Authors

Vold, Karina Vergobbi  ORCID logo  https://orcid.org/0000-0002-0768-7517
Schlimm, Dirk 

Abstract

Vehicle externalism maintains that the vehicles of our mental representations can be located outside of the head, that is, they need not be instantiated by neurons located inside the brain of the cogniser. But some disagree, insisting that ‘non-derived’, or ‘original’, content is the mark of the cognitive and that only biologically instantiated representational vehicles can have non-derived content, while the contents of all extra-neural representational vehicles are derived and thus lie outside the scope of the cognitive. In this paper we develop one aspect of Menary’s vehicle externalist theory of cognitive integration—the process of enculturation—to respond to this longstanding objection. We offer examples of how expert mathematicians introduce new symbols to represent new mathematical possibilities that are not yet understood, and we argue that these new symbols have genuine non-derived content, that is, content that is not dependent on an act of interpretation by a cognitive agent and that does not derive from conventional associations, as many linguistic representations do.

Description

Keywords

Cognitive integration, Enculturation, Mathematical cognition, Mental content, Representational vehicles, Vehicle externalism

Journal Title

Synthese

Conference Name

Journal ISSN

1573-0964
1573-0964

Volume Title

Publisher

D. Reidel Pub. Co.
Sponsorship
Leverhulme Trust (RC-2015-067)
Leverhulme Centre for the Future of Intelligence, Leverhulme Trust, under Grant RC-2015-067.