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Conceptual engineering for mathematical concepts

Abstract:

In this paper I investigate how conceptual engineering applies to mathematical concepts in particular. I begin with a discussion of Waismann’s notion of open texture, and compare it to Shapiro’s modern usage of the term. Next I set out the position taken by Lakatos which sees mathematical concepts as dynamic and open to improvement and development, arguing that Waismann’s open texture applies to mathematical concepts too. With the perspective of mathematics as open-textured, I make the case t...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1080/0020174X.2017.1385526

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Department:
Oxford, MPLS, Computer Science
Role:
Author
St Andrews University More from this funder
Publisher:
Taylor and Francis (Routledge) Publisher's website
Journal:
Inquiry Journal website
Volume:
61
Issue:
8
Pages:
881-913
Publication date:
2017-10-10
Acceptance date:
2017-07-18
DOI:
ISSN:
1502-3923
Pubs id:
pubs:709728
URN:
uri:d505e544-56a3-46af-9936-466ebd81f707
UUID:
uuid:d505e544-56a3-46af-9936-466ebd81f707
Local pid:
pubs:709728

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