Dear subscribers

Professor Robbie Williams (University of Leeds) is giving a talk 
tomorrow (Thursday) at 18.30 in Winstanley Lecture Hall, Trinity 
College. The talk is entitled 'Semantic teleology and semantic 
bookkeeping'. Scroll down for the abstract.

I hope to see many of you there!

TPS Committee


ABSTRACT:

A is twice as long as B. When true, this reports a fact purely about A 
and B. That the length of C is 2 is not purely a fact about the relation 
between C and the number 2---indeed, it's incomplete without a 
specification of a certain bookkeeping convention, whereby we choose a 
unit of length.

The same distinction is present in reporting semantic features of 
language. Some semantic features of language are invariant across all 
bookkeeping conventions---perhaps that "eira yn wynn" is true in Welsh 
iff snow is white. Others are clearly not. For example, the extensions 
of relational predicates are standardly treated as sets of ordered 
pairs. That we construct these ordered pairs in Kuratowski's way rather 
than Wiener's, surely has nothing to do with the underlying semantic 
facts we're interested in.

But there are vexed cases in the middle. The most impressive version of 
the Skolem-Putnam paradox argues that what we talk about, in the 
broadest sense (i.e. what lies within the range of our quantifiers) is a 
matter of mere bookkeeping. The case for this rests on two claims:

(i) facts about linguistic usage, construed as liberally as one wishes, 
dramatically underdetermine what we mean when we say `all'.
(ii) tie-breaking constraints not tied to usage (appeals to simplicity, 
Lewis and Sider on eligibility) may fix the meaning of `all', but only 
relative to a bookkeeping convention.

I'll be putting forward some easy extensions of standard arguments in 
defence of (i).

Evaluating (ii) requires we find some criterion for sorting out which 
features of theorizing count as bookkeeping conventions, and which 
capture the real underlying facts. I'll explore and generalize an answer 
that Hartry Field put forward in the 70s, which requires an independent 
specification of the point and purpose of thinking about semantics and 
metasemantics. Field's own answer vindicates (ii). I'll try looking at 
ways to block it.

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