The Greek Philosophers, Vol. 2 (of 2)Benn, Alfred William
Philosophy
The Greek Philosophers, Vol. 2 (of 2)
Benn, Alfred William
Philosophy, Ancient
Turning from sense to reason, Carneades attacks the syllogistic process
on grounds already specified in connexion with the earlier Sceptics;
and also on the plea that to prove the possibility of syllogism is
itself to syllogise, and thus involves either a _petitio principii_
or a regress _ad infinitum_.[235] Such a method is, of course,
suicidal, for it disproves the possibility of the alleged disproof,
a consideration which the Stoics did not fail to urge, and which the
later Sceptics could only meet by extending the rule of suspense to
their own arguments against argument.[236] Nevertheless the sceptical
analysis detected some difficulties in the ordinary theory of logic,
which have been revived in modern times, and have not yet received
any satisfactory solution. Sextus Empiricus, probably copying an
earlier authority, it may be Carneades himself, observes that, as
the major premise of every syllogism virtually contains the minor,
it is either superfluous, or assumes the proposition to be proved.
Thus we argue that Socrates is an animal because he is a man, and all
men are animals. But if we do not know this latter proposition to be
true in the case of Socrates, we cannot be sure that it is true in
any case; while if we know it to be true in his case, we do not need
to begin by stating it in general terms. And he also attempts to show
the impossibility of a valid induction by the consideration, since so
often urged, that to generalise from a limited number of instances
to a whole class is unsafe, for some of the unknown instances may be
contradictory, while the infinite, or at least indefinite multiplicity
of individuals precludes the possibility of their exhaustive
enumeration.[237]
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