Wittgenstein, Ludwig (1889-1951)
We could present spatially an atomic fact which contradicted the laws of physics, but
not one which contradicted the laws of geometry.
Tractatus Logico Philosophicus, New York, 1922.
Wittgenstein, Ludwig (1889-1951)
Mathematics is a logical method ... Mathematical propositions express no thoughts. In
life it is never a mathematical proposition which we need, but we use mathematical
propositions only in order to infer from propositions which do not belong to mathematics
to others which equally do not belong to mathematics.
Tractatus Logico Philosophicus, New York, 1922, p. 169.
Wittgenstein, Ludwig (1889-1951)
There can never be surprises in logic.
In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
Wittgenstein, Ludwig (1889-1951)
The riddle does not exist. If a question can be put at all, then it can also be
answered.
Tractatus Logico Philosophicus, New York, 1922.