A History of Mediaeval Jewish PhilosophyHusik, Isaac
ReligionJewish
A History of Mediaeval Jewish Philosophy
Husik, Isaac
Philosophy, Jewish; Philosophy, Medieval
9. _Impossibility of the Infinite._ They hold that the infinite is
impossible in any sense, whether actual or potential or accidental. That
an actual infinite is impossible is a matter of proof. So it can be and
has been proved that the potential infinite is possible. For example
extension is infinitely divisible, _i. e._, potentially. As to the
accidental infinite, _i. e._, an infinity of parts of which each ceases
to be as soon as the next appears, this is doubtful. Those who boast of
having proved the eternity of the world say that time is infinite, and
defend their view against criticism by the claim that the successive
parts of time disappear. In the same way these people regard it as
possible that an infinite number of accidents have succeeded each other
on the universal matter, because here too they are not all present now,
the previous having disappeared before the succeeding ones came. The
Mutakallimun do not admit of any kind of infinite. They prove it in this
way. If past time and the world are infinite, then the number of men who
died up to a given point in the past is infinite. The number of men who
died up to a point one thousand years before the former is also
infinite. But this number is less than the other by the number of men
who died during the thousand years between the two starting points.
Hence the infinite is larger than the infinite, which is absurd. If the
accidental infinite were really impossible the theory of the eternity of
the world would be refuted at once. But Alfarabi has shown that the
arguments against accidental infinity are invalid.
10. _Distrust of the Senses._ The senses, they say, cannot be regarded
as criteria of truth and falsehood; for many things the senses cannot
see at all, either because the objects are so fine, or because they are
far away. In other cases the senses are deceptive, as when the large
appears small at a distance, the small appears great in the water, and
the straight appears broken when partly in water and partly without. So
a man with the jaundice sees everything yellow, and one with red bile on
his tongue tastes everything bitter. There is method in their madness.
The motive for this sceptical principle is to evade criticism. If the
senses testify in opposition to their theories, they reply that the
senses cannot be trusted, as they did in their explanation of motion and
in their theory of the succession of created accidents. These are all
ancient theories of the Sophists, as is clear from Galen.[265]
Having given an outline of the fundamental principles of the
Mutakallimun and criticised them, Maimonides next gives their arguments
based upon these principles in favor of creation in time and against
eternity. It will not be worth our while to reproduce them here as they
are not adopted by Maimonides, and we have already met some of them
though in a somewhat modified form before (_cf._ above, pp. 29 ff.).[266]
Public-domain text, read in full here on John Shaqi.
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