Archive for February, 2009

Pro-vice-chancellorian bollocks

Wednesday, February 4th, 2009

Once upon a very long time ago, I spent a year or more of my life doing nothing else much but mathematics problems, preparing for the then entrance scholarship to get into Trinity to do maths. The standard was fairly stratospheric, and it was quite difficult to find enough practice questions on e.g. projective geometry. But one source was selected questions from various university examinations. Yes, degree-level questions from elsewhere being used as Cambridge entrance paper practice … which rather undermined any belief I might have had in the myth of close equality of level of enterprise across different universities.

Well, things have no doubt changed in all sorts of ways since those distant days. But one thing remains the same. As almost everyone knows perfectly well, there are wide differences between what is intellectually required to get (say) an upper second-class degree in a particular subject at different UK universities.

But there are always those concerned to deny the obvious. Thus, in the correspondence column of the Guardian today, the Pro-vice-chancellor of London South Bank University writes

All universities work to a common understanding of degree classification (supported by an external examiner system which is common to all).

And another correspondent writes

There is, in fact, close equivalence of degree-level standards across institutions. It is effectively maintained through the Quality Assurance Agency, which asserts that the standard “should be at a similar level across the UK”. The much-admired external examiner system is a major feature of this.

Which is all, of course, complete bollocks.

For a start, external examiners are very largely swapped between universities at similar levels in the pecking order. I bet, for example, that London South Bank University rarely uses examiners from Cambridge, or vice versa. And moreover, even when you do act as an external examiner for another university, your main job is to certify that the examining board there is behaving properly in following its own rules, and is behaving in a transparent and principled way. You might hope, where appropriate, for some rough comparabilities — but only pretty rough. And rough comparability is patently not transitive. Standards at A might be roughly comparable with standards at B, and standards at B might be roughly comparable with standards at C, and so on down the chain. But standards at A may of course be in a different ballpark to standards at Z.

And so they certainly ought to be. For example, here in Cambridge we spend a great deal of effort in trying to recruit the brightest and best; we then give them maybe seventy hours or more one-to-one ’supervisions’ (i.e. tutorials) in philosophy over three years, not to mention all sorts of other formal and informal small group teaching on top of lectures — a quantity and quality of provision that most universities can only dream about. It would simply be a scandal if our students by the end weren’t in general performing at a level a good few notches above what it is reasonable to expect in many other places. And what we demand of them in Tripos quite rightly reflects that. That “close equivalence of degree-level standards” remains a myth.

Logic matters website updated

Wednesday, February 4th, 2009

I’ve not been at all attentive to the Logic Matters website recently — it’s one of those things that sometimes I’m quite in the mood to do, and at other times it seems to drop right off the bottom of the “to do” list.

Anyway, there is now a new page “Other logic” linking to some recent papers and expository handouts. There’s more to be added, which I’ll want to tidy very slightly before irrecoverably letting them lose onto the net. Putting this page together was a rather cheering experience — I seem to have done more recently than I remembered!

I hope to get round to finishing the port of the LaTeX for Logicians pages from the old form to the new one sooner rather than later — at the moment some internal navigation is a bit flakey, though the requisite info is mostly in there somewhere.

Tim Crane moving to Cambridge

Monday, February 2nd, 2009

Since it is now announced on the Leiter blog, I guess there is no reason now not to say here that we’re delighted that Tim Crane is moving to Cambridge from UCL as the new Knightbridge Professor, from the autumn.

Parsons, the whole story, at last

Monday, February 2nd, 2009

I have been blogging on and off for quite a while about Charles Parsons’s Mathematical Thought and Its Objects, latterly as we worked through the book in a reading group here. I’ve now had a chance to put together a revised (sometimes considerably revised) version of all those posts into a single document — over 50 pages, I’m afraid. You can download it here.

I’ve learnt quite a bit from the exercise. I’ll be very interested in any comments or reactions.