The CEU Department of Philosophy cordially invites you to a talk
(as part of its Departmental Colloquium series)
by
Panagiotis Dimas
on
Divisibility of Magnitude in De Generatione et Corruptione I.2
Tuesday, 30 September 2014, 5.30 PM, Zrinyi 14, Room 412
ABSTRACT
The central section of GC I.2 is dedicated to an argument allegedly proving that magnitude
cannot be divisible. Offered at 316a14-316b18, the argument against what we may call the
divisibility thesis has the form of a reductio claiming to show that absurd consequences
are implied by this thesis. Since Philoponus, commentators take this reductio to be an
argument by Democritus and Aristotle’s aim in this chapter to refute Democritus. Still,
the reductio relies heavily on Aristotelian assumptions and theories that it is doubtful
would have been available or acceptable to Democritus.
I argue that in this chapter Aristotle puts forward the claim that divisibility is a
capacity of magnitude, which if true would account for the position taken for granted in
Phys. III.6 that the infinite is an attribute of magnitude. The reductio in GC I.2
exploits Aristotelian commitments to allege that this claim is incoherent. Dealing with
this allegation, as this chapter purports to do, does not require a refutation of
Democritus, and none is offered. Besides, Democritus lacks the conceptual tools to
construct the reductio, which moreover rests on an argument too obviously flawed to
suppose that he would believe it could be used against the divisibility thesis. Apparently
propelled by Aristotle’s view on capacities as possessed by subjects the flaw on which the
reductio rests is not trivial for Aristotle, but a challenge. To address it Aristotle
needs to offer a characterization of what it is to say that magnitude is divisible in
capacity, which is precisely what he achieves in this chapter.
Krisztina Biber
Department of Philosophy
Coordinator
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