Random Quote #67 topic: wittgenstein, Tractatus Logico-Philosophicus by Wittgenstein, Ludwig, 1889-1951
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5.5351 There are certain cases in which one is tempted to use expressions
of the form 'a = a' or 'p z p' and the like. In fact, this happens when
one wants to talk about prototypes, e.g. about proposition, thing, etc.
Thus in Russell's Principles of Mathematics 'p is a proposition'--which is
nonsense--was given the symbolic rendering 'p z p' and placed as an
hypothesis in front of certain propositions in order to exclude from their
argument-places everything but propositions. (It is nonsense to place the
hypothesis 'p z p' in front of a proposition, in order to ensure that its
arguments shall have the right form, if only because with a
non-proposition as argument the hypothesis becomes not false but
nonsensical, and because arguments of the wrong kind make the proposition
itself nonsensical, so that it preserves itself from wrong arguments just
as well, or as badly, as the hypothesis without sense that was appended
for that purpose.)


-- Wittgenstein, Ludwig



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