Introduction to Mathematical PhilosophyRussell, Bertrand
Philosophy
Introduction to Mathematical Philosophy
Russell, Bertrand
Mathematics -- Philosophy
For want of the apparatus of propositional functions, many
logicians have been driven to the conclusion that there are
unreal objects. It is argued, e.g. by Meinong,[40]
that we can
speak about "the golden mountain," "the round square,"
and so on; we can make true propositions of which these are
the subjects; hence they must have some kind of logical being,
since otherwise the propositions in which they occur would be
meaningless. In such theories, it seems to me, there is a failure
of that feeling for reality which ought to be preserved even in
the most abstract studies. Logic, I should maintain, must no
more admit a unicorn than zoology can; for logic is concerned
with the real world just as truly as zoology, though with its
more abstract and general features. To say that unicorns have
an existence in heraldry, or in literature, or in imagination,
is a most pitiful and paltry evasion. What exists in heraldry
is not an animal, made of flesh and blood, moving and breathing
of its own initiative. What exists is a picture, or a description
in words. Similarly, to maintain that Hamlet, for example,
exists in his own world, namely, in the world of Shakespeare's
imagination, just as truly as (say) Napoleon existed in the
ordinary world, is to say something deliberately confusing, or
else confused to a degree which is scarcely credible. There is
only one world, the "real" world: Shakespeare's imagination
is part of it, and the thoughts that he had in writing Hamlet
are real. So are the thoughts that we have in reading the play.
But it is of the very essence of fiction that only the thoughts,
feelings, etc., in Shakespeare and his readers are real, and that
there is not, in addition to them, an objective Hamlet. When
you have taken account of all the feelings roused by Napoleon
in writers and readers of history, you have not touched the actual
man; but in the case of Hamlet you have come to the end of
him. If no one thought about Hamlet, there would be nothing
[Pg 169]
left of him; if no one had thought about Napoleon, he would
have soon seen to it that some one did. The sense of reality is
vital in logic, and whoever juggles with it by pretending that
Hamlet has another kind of reality is doing a disservice to
thought. A robust sense of reality is very necessary in framing
a correct analysis of propositions about unicorns, golden mountains,
round squares, and other such pseudo-objects.
[40]Untersuchungen zur Gegenstandstheorie und Psychologie, 1904.
Public-domain text, read in full here on John Shaqi.
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