Leopold Kronecker Quotes

• God made the integers, man made the rest.

  Leopold Kronecker

  Men, Made, Integers

  Quoted in F Cajori A History of Mathematics (1919).

  17 Copy quote

• What good your beautiful proof on the transcendence of Pi: Why investigate such problems, given that irrational numbers do not even exist?

  Leopold Kronecker

  Beautiful, Science, Irrational Numbers

  11 Copy quote

• God made the integers, all the rest is the work of man.

  Leopold Kronecker

  Men, Numbers, Natural

  "Philosophies of Mathematics" by Alexander George, Daniel J. Velleman, (p. 13), 2002.

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• Die ganzen Zahlen hat der liebe Gatt gemacht, alles andere ist Menschenwerk.
  The dear God has made the whole numbers, all the rest is man's work.

  Leopold Kronecker

  God, Men, Numbers

  12 Copy quote

• Definitions must contain the means of reaching a decision in a finite number off steps, and existence proofs must be conducted so that the quantity in question can be calculated with any degree of accuracy.

  Leopold Kronecker

  Mean, Numbers, Finite Number

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• All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.

  Leopold Kronecker

  Simple, Mathematics, Form

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• Analysis does not owe its really significant successes of the last century to any mysterious use of sqrt(-1), but to the quite natural circumstances that one has infinitely more freedom of mathematical movement if he lets quantities vary in a plane instead of only on a line.

  Leopold Kronecker

  Discovery, Lines, Lasts

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• The Good Lord made all the integers; the rest is man's doing.

  Leopold Kronecker

  Math, Men, Lord

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• Number theorists are like lotus-eaters -- having once tasted of this food they can never give it up.

  Leopold Kronecker

  Math, Numbers, Giving

  6 Copy quote

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