Random Quote #39 topic: wittgenstein, Tractatus Logico-Philosophicus by Wittgenstein, Ludwig, 1889-1951

4.1272 Thus the variable name 'x' is the proper sign for the
pseudo-concept object. Wherever the word 'object' ('thing', etc.) is
correctly used, it is expressed in conceptual notation by a variable
name. For example, in the proposition, 'There are 2 objects which. .
.', it is expressed by ' (dx,y) ... '. Wherever it is used in a
different way, that is as a proper concept-word, nonsensical
pseudo-propositions are the result. So one cannot say, for example,
'There are objects', as one might say, 'There are books'. And it is
just as impossible to say, 'There are 100 objects', or, 'There are !0
objects'. And it is nonsensical to speak of the total number of
objects. The same applies to the words 'complex', 'fact', 'function',
'number', etc. They all signify formal concepts, and are represented
in conceptual notation by variables, not by functions or classes (as
Frege and Russell believed). '1 is a number', 'There is only one
zero', and all similar expressions are nonsensical. (It is just as
nonsensical to say, 'There is only one 1', as it would be to say, '2 +
2 at 3 o'clock equals 4'.)

-- Wittgenstein, Ludwig


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