Dear all,

This Thursday (the 20th) Fiona Doherty will be speaking at the Serious 
Metaphysics Group, on 'Frege As Against The Neo-Logicist'(abstract 
below). We'll meet at the regular time of 1:00 - 2:30pm, in the Faculty 
Board Room.

This week a team from Cambridge English Language Assessment will be 
filming the seminar, to collect material for use in a teaching course 
they're developing. A photographer will also be taking some still shots, 
for use at open days, etc. Apparently the film crew is very unobtrusive, 
so it shouldn't make a difference to the running of the seminar, but if 
you have any questions or concerns, please let me know. (It's possible 
to come to the seminar (and take part in the discussion), but not be 
included in the video, so if you would prefer that, also just let me 
know).

Hope to see you there,

Georgie


Frege As Against The Neo-Logicist

The driving insight behind Frege's logicist project was to show that 
arithmetic truths are a special species of logical truths, and that as 
such their objects of study (the numbers) are logical objects. The 
neo-logicist tries to circumvent the inconsistency in Frege's attempt to 
establish this thesis by using Hume's Principle as the means by which 
numbers are to be given to us. A question arises regarding the status of 
this principle which the neo-logicist settles by claiming that Hume's 
Principle should be understood as an implicit definition. I will argue 
that as soon as the neo-logicist makes this move, they leave themselves 
vulnerable to a powerful objection which Frege makes to Hilbert's use of 
implicit definitions. Broadly; if Hume's Principle is understood as an 
implicit definition then, at best, it defines a different concept than 
the one which the neo-logicist needs to secure the numbers as logical 
objects.



-- 
Georgie Statham
PhD Candidate
Faculty of Philosophy
University of Cambridge


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