Kronecker

### Kronecker, God and the Integers

Natural numbers were created by God, everything else is the work of men — Kronecker (1823–1891).

Kronecker

Natural numbers were created by God, everything else is the work of men — Kronecker (1823–1891).

Infinity

From Brilliance to Madness

Logic

A Glimpse of Incompleteness

Set Theory

My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. — Georg Cantor

Infinity

How many numbers of each type are there? Can two infinities be equal? Can one infinity be larger than another infinity?

Logic

Canadian mathematician Simon Kochen recalled in his tribute to Kurt Gödel how during his PhD exam, he was asked to name five of Gödel’s theorems. The essence of the question was that each of the theorems either gave birth to a new branch of, or revolutionized, modern mathematical logic.

Set Theory

Yet a bit more Introduction to Foundational Mathematics

Set Theory

On August 2. 2020 Cantor’s Paradise published Bruno Campello’s brief critique of Cantor’s approach in transfinite mathematics. The author…

Probability Theory

On the modern definition of probability

Set Theory

The quick and dirty guide to one of the stranger mathematical curiosities.

Prime Numbers

It was a big surprise discovering zero when I was really looking for prime numbers. Back in 1992, I had a simple computer at my disposal …

Set Theory

“No one will drive us from the paradise which Cantor created for us” — David Hilbert