4.441 It is clear that a complex of the signs 'F' and 'T' has no object (or
complex of objects) corresponding to it, just as there is none
corresponding to the horizontal and vertical lines or to the brackets.--
There are no 'logical objects'. Of course the same applies to all signs
that express what the schemata of 'T's' and 'F's' express.


4.442 For example, the following is a propositional sign: (Frege's
'judgement stroke' '|-' is logically quite meaningless: in the works of
Frege (and Russell) it simply indicates that these authors hold the
propositions marked with this sign to be true. Thus '|-' is no more a
component part of a proposition than is, for instance, the proposition's
number. It is quite impossible for a proposition to state that it itself is
true.) If the order or the truth-possibilities in a scheme is fixed once
and for all by a combinatory rule, then the last column by itself will be
an expression of the truth-conditions. If we now write this column as a
row, the propositional sign will become '(TT-T) (p,q)' or more explicitly
'(TTFT) (p,q)' (The number of places in the left-hand pair of brackets is
determined by the number of terms in the right-hand pair.)


4.45 For n elementary propositions there are Ln possible groups of truth-
conditions. The groups of truth-conditions that are obtainable from the
truth-possibilities of a given number of elementary propositions can be
arranged in a series.


4.46 Among the possible groups of truth-conditions there are two extreme