Dear all,

REMINDER: Today, at the final meeting of the SMG this year (and my last as 
convenor) we will have Wes Wrigley (Cambridge PhD student) presenting a talk 
entitled ‘Is the concept natural number vague?’ (abstract below). As usual it 
will be from 4.30 to 6pm in the Philosophy Faculty Board Room. The talk should 
last about 45 minutes followed by questions and discussion. All graduate 
students are welcome.
Abstract: Dummett has argued that a consequence of Gödel's incompleteness 
theorems is that the concept natural number is vague. He takes this to be a 
corollary of the indefinite extensibility of the concept ground for asserting 
something of all natural numbers. I argue that this concept is not indefinitely 
extensible, in light of other mathematical results in the vicinity 
(particularly Feferman’s completeness theorem). Possible escape routes are 
discussed, but I argue that Dummett's vagueness claim cannot be upheld, even in 
the context of his constructivism.

I hope to see you there!

Nathan Hawkins
PhD student in Philosophy
Cambridge University

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