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Ludwig Wittgenstein Quotes about Math

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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

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.

Ludwig Wittgenstein
Life, Math, Order
Ludwig Wittgenstein, Charles Kay Ogden (1998). “Tractatus Logico-Philosophicus”, p.98, Courier Corporation

There can never be surprises in logic.

Ludwig Wittgenstein
Math, Logic, Surprise
Ludwig Wittgenstein (2016). “Tractatus Logico Philosophicus”, p.28, Clube de Autores

Logic takes care of itself; all we have to do is to look and see how it does it.

Ludwig Wittgenstein
Philosophical, Math, Reality
Ludwig Wittgenstein (1984). “Notebooks, 1914-1916”, p.26, University of Chicago Press

With my full philosophical rucksack I can only climb slowly up the mountain of mathematics.

Ludwig Wittgenstein
Philosophical, Math, Mountain

We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry.

Ludwig Wittgenstein
Math, Law, Facts
Ludwig Wittgenstein (2014). “The Tractatus According to Its Own Form”, p.38, Lulu.com

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