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Wittgenstein, Ludwig, 1889-1951

"Tractatus Logico-Philosophicus"



3.344 What signifies in a symbol is what is common to all the symbols that
the rules of logical syntax allow us to substitute for it.

3.3441 For instance, we can express what is common to all notations for
truth-functions in the following way: they have in common that, for
example, the notation that uses 'Pp' ('not p') and 'p C g' ('p or g') can
be substituted for any of them. (This serves to characterize the way in
which something general can be disclosed by the possibility of a specific
notation.)

3.3442 Nor does analysis resolve the sign for a complex in an arbitrary
way, so that it would have a different resolution every time that it was
incorporated in a different proposition.

3.4 A proposition determines a place in logical space. The existence of
this logical place is guaranteed by the mere existence of the constituents--
by the existence of the proposition with a sense.

3.41 The propositional sign with logical co-ordinates--that is the logical
place.

3.411 In geometry and logic alike a place is a possibility: something can
exist in it.

3.42 A proposition can determine only one place in logical space:
nevertheless the whole of logical space must already be given by it.
(Otherwise negation, logical sum, logical product, etc., would introduce
more and more new elements in co-ordination.) (The logical scaffolding
surrounding a picture determines logical space.


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