Top 11 Quotes & Sayings by Leopold Kronecker

Explore popular quotes and sayings by a German mathematician Leopold Kronecker.
Last updated on November 25, 2024.
Leopold Kronecker

Leopold Kronecker was a German mathematician who worked on number theory, algebra and logic. He criticized Georg Cantor's work on set theory, and was quoted by Weber (1893) as having said, "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk". Kronecker was a student and lifelong friend of Ernst Kummer.

God made integers, all else is the work of man.
God made the integers; all else is the work of man.
What good your beautiful proof on the transcendence of Pi: Why investigate such problems, given that irrational numbers do not even exist? — © Leopold Kronecker
What good your beautiful proof on the transcendence of Pi: Why investigate such problems, given that irrational numbers do not even exist?
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.
God made the integers, all the rest is the work of man.
All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.
Number theorists are like lotus-eaters -- having once tasted of this food they can never give it up.
The Good Lord made all the integers; the rest is man's doing.
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.
God made the integers, man made the rest.
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.
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