On Thursday 9th May at 4.15pm in the graduate common room Tim Button wil 
give al talk on "Structuralism and referential indeterminacy". NB this 
talk will be suitable for Part II students who have looked at 
mathematical structuralism or Putnam's model-theoretic arguments.
MDP

Abstract

It should be obvious that `Julius Caesar' refers to Julius Caesar. But 
it is easy to offer a deviant interpretation of our words, according to 
which `Julius Caesar' refers to Mahatma Gandhi. Of course, to preserve 
the truth-values of everything we say, we shall have to make 
compensating adjustments elsewhere in our interpretation; `___ is a 
general' will have to apply to some pacifists, rather than to all (and 
only) the generals. But this only deepens the problem: what, if 
anything, fixes reference?

The shape of this problem is not affected by the kind of objects that we 
are trying to designate. And a particularly interesting version of the 
problem concerns reference to mathematical objects. After all, whilst 
some causal theory of reference seems plausible when we consider Caesar 
and Gandhi, no one ever interacts causally with the number 2. This 
raises the question: can mathematical platonism answer the threat of 
radical referential indeterminacy?

Shapiro (1997) has suggested that realistic structuralism provides 
platonism with fresh resources for answering this problem. In this talk, 
I shall explain why he thinks this, and why it is mistaken.


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