Plato and the Other Companions of Sokrates, 3rd ed. Volume 1
Plato · en
"But here, perhaps, some man will ask whether those future things
which are commonly called _contingents_, are necessary. I say, then,
that generally all contingents have their necessary causes, but are
called _contingents_, in respect of other events on which they do not
depend--as the rain which shall be to-morrow shall be necessary, that
is, from necessary causes; but we think and say, it happens by chance,
because we do not yet perceive the causes thereof, though they exist
now. For men commonly call that _casual_ or _contingent_, whereof they
do not perceive the necessary cause: _and in the same manner they use
to speak of things past, when not knowing whether a thing be done or
not, they say, It is possible it never was done._
"Wherefore all propositions concerning future things, contingent or
not contingent, as this--It will rain to-morrow, or To-morrow the sun
will rise--are either necessarily true or necessarily false: but we
call them contingent, because we do not yet know whether they be true
or false; whereas their verity depends not upon our knowledge, but
upon the foregoing of their causes. But there are some, who, though
they will confess this whole proposition--_ To-morrow it will either
rain or not rain_--to be true, yet they will not acknowledge the parts
of it, as, _To-morrow it will rain_, or _To-morrow it will not rain_,
to be either of them true by itself; because (they say) neither this
nor that is true _determinately_. But what is this _true
determinately_, but true _upon our knowledge_ or _evidently true_? And
therefore they say no more but that it is not yet known whether it be
true or not; but they say it more obscurely, and darken the evidence
of the truth with the same words by which they endeavour to hide their
own ignorance."]
[Footnote 67: The reader will find this problem admirably handled in
Mr. John Stuart Mill's System of Logic, Book iii. ch. 21, and Book vi.
chs. 2 and 8; also in the volume of Professor Bain on the Emotions and
the Will, Chapter on Belief.]
Besides the above doctrine respecting Possible and Impossible, there
is also ascribed to Diodorus a doctrine respecting Hypothetical
Propositions, which, as far as I comprehend it, appears to have been a
correct one.[68] He is also said to have reasoned against the reality
of motion, renewing the arguments of Zeno the Eleate.
[Footnote 68: Sextus Emp. Pyrrhon. Hypotyp. ii. pp. 110-115. [Greek:
a)lêthe\s sunêmme/non]. Adv. Mathemat. viii. 112. Philo maintained
that an hypothetical proposition was true, if both the antecedent and
consequent were true--"If it be day, I am conversing". Diodorus denied
that this proposition, as an Hypothetical proposition, was true: since
the consequent might be false, though the antecedent were true. An
Hypothetical proposition was true only when, assuming the antecedent
to be true, the consequent must be true also.]