Indeed, the logical proposition
acquires all the characteristics of a proposition of natural science and
this is the sure sign that it has been construed wrongly.
6.112 The correct explanation of the propositions of logic must assign to
them a unique status among all propositions.
6.113 It is the peculiar mark of logical propositions that one can
recognize that they are true from the symbol alone, and this fact contains
in itself the whole philosophy of logic. And so too it is a very important
fact that the truth or falsity of non-logical propositions cannot be
recognized from the propositions alone.
6.12 The fact that the propositions of logic are tautologies shows the
formal--logical--properties of language and the world. The fact that a
tautology is yielded by this particular way of connecting its constituents
characterizes the logic of its constituents. If propositions are to yield a
tautology when they are connected in a certain way, they must have certain
structural properties. So their yielding a tautology when combined in this
shows that they possess these structural properties.
6.1201 For example, the fact that the propositions 'p' and 'Pp' in the
combination '(p . Pp)' yield a tautology shows that they contradict one
another. The fact that the propositions 'p z q', 'p', and 'q', combined
with one another in the form '(p z q) .
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