Leopold Kronecker Quotations

God made the integers, man made the rest.

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

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.

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

God made the natural numbers; all else is the work of man

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

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.

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.

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

God made integers, all else is the work of man.