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Beginning
of the Tractatus Logico-Philosophicus
by Ludwig Wittgenstein
1 The world is everything that is the case.*
1.1 The world is the totality of facts, not of
things.
1.11 The world is determined by the facts, and
by these being all the facts.
1.12 For the totality of facts determines both
what is the case, and also all that is not the
case.
1.13 The facts in logical space are the
world.
1.2 The world divides into facts.
1.21 Any one can either be the case or not be
the case, and everything else remain the same.
2 What is the case, the fact, is the existence
of atomic facts.
2.01 An atomic fact is a combination of objects
(entities, things).
2.011 It is essential to a thing that it can be
a constituent part of an atomic fact.
2.012 In logic nothing is accidental: if a thing
can occur in an atomic fact the possibility of that
atomic fact must already be prejudged in the
thing.
2.0121 It would, so to speak, appear as an
accident, when to a thing that could exist alone on
its own account, subsequently a state of affairs
could be made to fit.
If things can occur in atomic facts, this
possibility must already lie in them.
(A logical entity cannot be merely possible.
Logic treats of every possibility, and all
possibilities are its facts.)
Just as we cannot think of spatial objects at
all apart from space, or temporal objects apart
from time, so we cannot think of any object apart
from the possibility of its connection with other
things.
If I can think of an object in the context of an
atomic fact, I cannot think of it apart from the
possibility of this context.
2.0122 The thing is independent, in so far as it
can occur in all possible circumstances, but this
form of independence is a form of connection with
the atomic fact, a form of dependence. (It is
impossible for words to occur in two different
ways, alone and m the proposition.)
2.0123 If I know an object, then I also know all
the possibilities of its occurrence in atomic
facts.
(Every such possibility must lie in the nature
of the object.)
A new possibility cannot subsequently be
found.
2.01231 In order to know an object, I must know
not its external but all its internal
qualities.
2.0124 If all objects are given, then thereby
are all possible atomic facts also given.
2.013 Every thing is, as it were, in a space of
possible atomic facts. I can think of this space as
empty, but not of the thing without the space.
2.0131 A spatial object must lie in infinite
space. (A point in space is a place for an
argument.)
* The decimals figures as numbers of the
separate propositions indicate the logical
importance of the propositions, the emphasis laid
upon them in my exposition. The propositions
n. 1, n. 2, n. 3, etc., are
comments on proposition No. n; the
propositions n.m 1, n.m 2, etc., are
comments on the proposition No. n,m; and so
on.
Excerpted from Tractatus
Logico-Philosophicus, by Ludwig
Wittgenstein
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