Extended mathematical cognition: External representations with non-derived content

Synthese:1-21 (forthcoming)
Authors
Dirk Schlimm
McGill University
Karina Vold
Cambridge University
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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s11229-019-02097-w
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

The Holy Grail of Cognitivism: A Response to Adams and Aizawa. [REVIEW]Richard Menary - 2010 - Phenomenology and the Cognitive Sciences 9 (4):605-618.
The Boundaries Still Stand: A Reply to Fisher.Kenneth Aizawa - 2010 - Journal of Mind and Behavior 31 (1):37.
Active Content Externalism.Holger Lyre - 2016 - Review of Philosophy and Psychology 7 (1):17-33.
What Are the Contents of Representations in Predictive Processing?Wanja Wiese - 2017 - Phenomenology and the Cognitive Sciences 16 (4):715-736.
Reverse Psychologism, Cognition and Content.Dartnall Terry - 2000 - Minds and Machines 10 (1):31-52.
The Value of Cognitivism in Thinking About Extended Cognition.Kenneth Aizawa - 2010 - Phenomenology and the Cognitive Sciences 9 (4):579-603.
Explaining Representation: A Reply to Matthen.Frances Egan - 2013 - Philosophical Studies (1):1-6.

Analytics

Added to PP index
2019-01-18

Total downloads
39 ( #169,733 of 2,308,512 )

Recent downloads (6 months)
39 ( #10,674 of 2,308,512 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature