Dear all,

At the next meeting of the SMG we will have Benjamin Marschall (PhD student) 
presenting a talk entitled ‘Carnap’s Internal Platonism’ (abstract below). As 
usual it will be on Wednesday (the 20th) 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.

A full list of speakers for Lent term is available here (Easter term coming 
soon): https://www.phil.cam.ac.uk/seminars-phil/SMG
Abstract: In his Empiricism, Semantics, and Ontology, Rudolf Carnap famously 
argued that we can do anything a mathematical Platonist wants - quantify over 
numbers, hold them to be mind-independent, claim that numerals refer to them - 
without committing ourselves to any mysterious Platonistic metaphysics. Carnap 
defends this internal Platonism by construing mathematical statements to be 
both internal to a linguistic framework and analytic. I will develop an 
argument first suggested by Beth (1963) according to which the existence of 
non-standard models of arithmetic undermines Carnap’s method of drawing the 
analytic/synthetic-distinction, and will furthermore argue that this is a much 
bigger problem for the account than Carnap himself seems to have realised.

I hope to see you there!

Nathan Hawkins
PhD student in Philosophy
Cambridge University

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