1001Philosophers

Kurt Godel 1906 – 1978

Kurt Friedrich Godel was an Austrian-American mathematician, logician, and philosopher and one of the most important logicians in the history of the discipline. His incompleteness theorems, published in 1931, demonstrated that any consistent formal system of elementary arithmetic is incomplete and that its consistency cannot be proved within the system itself, decisively reshaping the philosophy of mathematics. After fleeing Vienna in 1940 he spent the rest of his career at the Institute for Advanced Study at Princeton, where Einstein was his closest friend. His later philosophical writings defended a form of Platonism about mathematical objects.

Key facts

Nationality
Austrian-American
Era
Contemporary
Movements
Analytic

Selected quotes

  • Attributed to Kurt Godel:

    “Either mathematics is too big for the human mind, or the human mind is more than a machine.”

  • Attributed to Kurt Godel:

    “Any consistent formal system that contains elementary arithmetic is incomplete.”

  • Attributed to Kurt Godel:

    “Mathematical objects are real; they are not the inventions of the mind.”

  • Attributed to Kurt Godel:

    “I have come to the conclusion that the world is rational.”

  • Attributed to Kurt Godel:

    “The more I think about language, the more it amazes me that people ever understand each other at all.”