6.01 Therefore the general form of an operation /'(n) is [E, N(E)]' (n)
( = [n, E, N(E)]). This is the most general form of transition from one
proposition to another.

6.02 And this is how we arrive at numbers. I give the following
definitions x = /0x Def., /'/v'x = /v+1'x Def. So, in accordance with
these rules, which deal with signs, we write the series x, /'x,
/'/'x, /'/'/'x,..., in the following way /0'x, /0+1'x, /0+1+1'x,
/0+1+1+1'x,.... Therefore, instead of '[x, E, /'E]', I write '[/0'x,
/v'x, /v+1'x]'. And I give the following definitions 0 + 1 = 1 Def., 0 +
1 + 1 = 2 Def., 0 + 1 + 1 +1 = 3 Def., (and so on).

6.021 A number is the exponent of an operation.

6.022 The concept of number is simply what is common to all numbers, the
general form of a number. The concept of number is the variable number.
And the concept of numerical equality is the general form of all
particular cases of numerical equality.

6.03 The general form of an integer is [0, E, E +1].

6.031 The theory of classes is completely superfluous in mathematics.
This is connected with the fact that the generality required in
mathematics is not accidental generality.

6.1 The propositions of logic are tautologies.

6.11 Therefore the propositions of logic say nothing. (They are the
analytic propositions.)

6.111 All theories that make a proposition of logic appear to have
content are false. One might think, for example, that the words 'true'
and 'false' signified two properties among other properties, and then it
would seem to be a remarkable fact that every proposition possessed one
of these properties. On this theory it seems to be anything but obvious,
just as, for instance, the proposition, 'All roses are either yellow or
red', would not sound obvious even if it were true. 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