Numbers in Mind: The Philosophy of Numerical Cognition

Date
18 February 2017, 9.30am - 7.00pm
Type
Conference / Symposium
Venue
The Court Room, First Floor, Senate House, Malet Street, London WC1E 7HU
Description

Numbers in Mind: The Philosophy of Numerical Cognition

 

Saturday 18th February 2017.

Court Room, Senate House. London.

 

Organised by Prof Brian Butterworth (UCL) and Dr Ophelia Deroy (IP)

In connection with the Royal Society Meeting

 

What are the minimal conditions for possessing number concepts? How are number concepts acquired? Can this acquisition be gradual (knowing some, but not all numbers)? Is this acquisition special, by comparison with other concepts? What's the importance of being taught external symbols for number concepts - and is part of numerical cognition intrinsically social? Is there a link between the development of numerical cognition/numerical symbols and the development of other cognitive capacities?

Recent work in numerical cognition, in humans as well as animals, has re-shaped our understanding of numerical abilities. This workshop will examine the relevance of this work for philosophical problems about mathematics, and numbers more specifically.

Space in the conference is limited, therefore we would ask those interested in attending to provide a short (circa 100 – 150 word) justification outlining how attendance at the workshop will be of benefit to their research. Some prior knowledge of the topic is presupposed. Please send applications to IP@sas.ac.uk

 

Speakers


Helen de Cruz (Oxford, UK)

Numerical cognition and its metaphysical implications

 

Valeria Giardino (CNRS, Nancy, France)

Counting and numbers

 

Max Jones (Bristol, UK)

Seeing Numbers as Affordances

 

Paula Quinon (Lund, Sweden)

Conceptual Content of Arithmetical Terminology: From Number Cognition to Mature Mathematics

 

Richard Samuels (Ohio State University, USA)

Basically Natural: On the Relative Fundamentality of Ordinal and Cardinal Conceptions of Number (Samuels, Shapiro and Snyder)

 

Mario Santos Sousa (UCL)

Numbers Incorporated: Numerical representations and their distinctive structural features

 

Eric Synder (Ohio State University, USA)

Neologicism, Frege's Constraint, and the Frege-Heck Condition (Snyder, Samuels and Shapiro)

 

John Wigglesworth (LMU, Munich, Germany

Numerical abilities and mathematical structure.

Discussants

Marcus Giaquinto (UCL)

Stewart Shapiro (Ohio State University)

Cedric Villani (UMPC/ CNRS)




 

Programme

 

Each session: 40 min position paper; 20 min questions. 2 x 30 communications with 15 min questions each.

 

9.30am            Coffee and registration

 

Session 1 – 10:00 – 12:30

 

10:00               Richard Samuels (Ohio State University, USA)      

Basically Natural: On the Relative Fundamentality of Ordinal and Cardinal Conceptions of Number (Samuels, Shapiro and Snyder)

 

11:00               Mario Santos Sousa (Madrid, Spain)

Numbers Incorporated: Numerical representations and their distinctive structural features

 

11:45               Valeria Giardino (CNRS, Nancy, France)

Counting and numbers

 

12:30 – 13:30 Lunch break 

 

Session 2 – 13.30 - 16.00

 

13:00               Max Jones (Bristol, UK)

Seeing Numbers as Affordances

 

14:30               Eric Synder (Ohio State University, USA)

Neologicism, Frege's Constraint, and the Frege-Heck Condition (Snyder, Samuels and Shapiro)

 

15:15               Paula Quinon (Lund, Sweden)

Conceptual Content of Arithmetical Terminology: From Number Cognition to Mature Mathematics

 

16:00 – 16:30  Coffee break 

 

Session 316:30 – 18:30

 

16:30               Helen de Cruz (Oxford, UK)

Numerical cognition and its metaphysical implications

 

17:30               John Wigglesworth (LMU, Munich, Germany)

Numerical abilities and mathematical structure.

 

18.15               Drinks and general discussion.

Contact

Institute of Philosophy
IP@sas.ac.uk
020 7664 4865