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

Leopold Kronecker

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Leopold Kronecker
Age: 68 †
Born: 1823
Born: December 7
Died: 1891
Died: December 29
Mathematician
University Teacher
Liegnitz
Problem
Proof
Even
Mathematics
Good
Exist
Problems
Numbers
Science
Investigate
Given
Transcendence
Beautiful
Irrational

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The Good Lord made all the integers the rest is man's doing.
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God made the integers, all the rest is the work of man.
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Number theorists are like lotus-eaters -- having once tasted of this food they can never give it up.
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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.
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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.
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God made the integers, man made the rest.
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