Ludwig Wittgenstein Quotes About Mathematics

Quotes about: Mathematics

• There can never be surprises in logic.

  Ludwig Wittgenstein

  Math, Logic, Surprise

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

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

  Ludwig Wittgenstein

  Philosophical, Math, Mountain

• 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

• Proof, one might say, does not merely shew that it is like this, but: how it is like this. It shows how 13+14 yield 27.

  Ludwig Wittgenstein

  Science, Yield, Doe

• Suppose someone follows the series "1,3,5,7, ..", and in writing the series 2x+1; and he asked himself "But am I always doing the same thing, or something different every time?" If from one day to the next someone promises: "Tomorrow I will give up smoking", does he say the same thing every day, or every day something different?

  Ludwig Wittgenstein

  Giving Up, Writing, Science

• Is my understanding only blindness to my own lack of understanding? It often seems so to me.

  Ludwig Wittgenstein

  Science, Understanding, Mathematics

  Ludwig Wittgenstein (1969). “On Certainty”

• I Once wrote: "In mathematics process and result are equivalent."

  Ludwig Wittgenstein

  Science, Mathematics, Process

  Ludwig Wittgenstein, Gertrude Elizabeth Margaret Anscombe, Rush Rhees, Georg Henrik Wright (1967). “Remarks on the foundations of mathematics”

• 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

• All mathematics is tautology.

  Ludwig Wittgenstein

  Mathematics, Tautology

• A mathematical proof must be perspicuous.

  Ludwig Wittgenstein

  Mathematics, Proof, Mathematical

  Ludwig Wittgenstein, Gertrude Elizabeth Margaret Anscombe, Rush Rhees, Georg Henrik Wright (1967). “Remarks on the foundations of mathematics”

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