Dear All,

The next meeting of the Moral Sciences Club will be held tomorrow (Tuesday
15 October). We are delighted to welcome Nick Denyer (Cambridge), who will
be giving a talk entitled 'Euclid, Plato, and Aristotle on What Geometry is
About'. Here is the abstract for his talk:

Euclid’s *Elements* astonished and astonishes by its way of making claims
that are general (“in *every* triangle”) and exact (“the interior angles
sum to *two* right angles”), and then giving those claims rigorous proofs.
I look at the place in the *Elements* of the so-called ‘postulates’, in
which - as I will argue - Euclid invites us to imagine an idealised drawer
of geometrical diagrams, whom I will call ‘Valentina’. I will look at how
postulating Valentina helps Euclid solve a problem posed by Plato: what can
be the bearing of particular, temporary, and changing diagrams on general,
everlasting, and stable truths? In showing how Euclid’s solution works, I
borrow a lot from Aristotle. The key ideas are that we may identify the
existence of a geometrical object with the possibility of drawing such an
object, that we may prove it possible to draw an object by actually drawing
it, and that for this purpose drawing the object in our imagination can be
— if our imagination is suitably disciplined — as good as drawing it on the
board. Postulating Valentina turns out to be a marvellous way of
disciplining our imagination: imagining her to draw a geometrical object
will indeed show that the object can be drawn, and therefore that it exists
eternally.


The meeting will be held from 2:30 until 4:15 in the Jane Harrison Room at
Newnham College, and will be followed by tea and coffee.

If you would like to have dinner with the speaker in the evening following
the talk, please email the secretaries of the club (mscsecretar...@gmail.com)
by midday on Monday 14th. This dinner is open to anyone who has attended
the talk and those who sign up for dinner will be notified of the details
closer to the time.

Best wishes,
--
Alex Horne, Roxane Noel and Zoe Walker
Secretaries of the Moral Sciences Club
Faculty of Philosophy
University of Cambridge
msc...@hermes.cam.ac.uk
http://www.phil.cam.ac.uk/seminars-phil/seminars-msc
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