Das Kalenderblatt 091109

[WM]

Generality in mathematics is a direction, an arrow pointing along the
series generated by an operation. And you can even say that the arrow
points to infinity; but does that mean that there is something –
infinity – at which it points, as at a thing? Construed in that way,
it must of course lead to endless nonsense. [§ 142]
If I were to say "If we were acquainted with an infinite extension,
then it would be all right to talk of an actual infinite", that would
really be like saying, "If there were a sense of abracadabra then it
would be all right to talk about abracadabraic sense perception". [§
144]
Set theory is wrong because it apparently presupposes a symbolism
which doesn't exist instead of one that does exist (is alone
possible). It builds on a fictitious symbolism, therefore on
nonsense. [§ 174]
[L. Wittgenstein: "Philosophical Remarks"]
[entnommen aus einer Sammlung von E.D.Buckner: "THE LOGIC
MUSEUM" (2005)]
http://uk.geocities.com/fr...@btinternet.com/cantor/wittgensteinquotes.htm

Gruß, WM