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Wittgenstein, Ludwig, 1889-1951

"Tractatus Logico-Philosophicus"



5.5541 It is supposed to be possible to answer a priori the question
whether I can get into a position in which I need the sign for a 27-termed
relation in order to signify something.

5.5542 But is it really legitimate even to ask such a question? Can we set
up a form of sign without knowing whether anything can correspond to it?
Does it make sense to ask what there must be in order that something can be
the case?

5.555 Clearly we have some concept of elementary propositions quite apart
from their particular logical forms. But when there is a system by which we
can create symbols, the system is what is important for logic and not the
individual symbols. And anyway, is it really possible that in logic I
should have to deal with forms that I can invent? What I have to deal with
must be that which makes it possible for me to invent them.

5.556 There cannot be a hierarchy of the forms of elementary propositions.
We can foresee only what we ourselves construct.

5.5561 Empirical reality is limited by the totality of objects. The limit
also makes itself manifest in the totality of elementary propositions.
Hierarchies are and must be independent of reality.

5.5562 If we know on purely logical grounds that there must be elementary
propositions, then everyone who understands propositions in their C form
must know It.

5.5563 In fact, all the propositions of our everyday language, just as they
stand, are in perfect logical order.


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