Left: John von Neumann’s 1928 article Zur Theorie der Gesellschaftsspiele (“The Theory of Games”) from Mathematische Annalen 100: 295–320. Right: von Neumann with his later collaborator Oskar Morgenstern (1902–1977) in 1953.

The von Neumann Essays


Photograph of Kurt Gödel and Albert Einstein in Princeton, New Jersey on December 5th 1947 by Oskar Morgenstern (Photos: Courtesy of the IAS Archive)

The Gödel Essays


Thinking like a Mathematician

Implications of Condorcet’s jury theorem


Left: A doodle from one of Abel’s notebooks. Right: The only known portrait of Abel, by Norwegian painter Johan Gørbitz (1826, edited and colorized)

“Although Abel shared with many mathematicians a complete lack of musical talent, I will not sound absurd if I compare his kind of productivity and his personality with Mozart’s.” — Felix Klein


The Ramanujan Essays

“I had never seen anything in the least like [it] before” — G.H. Hardy


Photos of nine Martians of Budapest: von Neumann, Erdos, Wigner, Teller, Szilard, Karman, Halmos, Polya and Kemeny
Photos of nine Martians of Budapest: von Neumann, Erdos, Wigner, Teller, Szilard, Karman, Halmos, Polya and Kemeny
John von Neumann, Paul Erdős, Eugene Wigner and Edward Teller, Leó Szilárd, Theodore von Kármán, Paul Halmos, George Polya and John G. Kemeny

“There is a rumor in America that there are two intelligent races on Earth: Humans and Hungarians” — Isaac Asimov


Left: Colorized photograph of Georg Cantor. Right: Cantor’s publication
Left: Colorized photograph of Georg Cantor. Right: Cantor’s publication

Proof Theory

“Diagonalization seems to show that there is an inexhaustibility phenomenon for definability similar to that for provability” — Franzén (2004)

The Diagonal Argument


Left: Feynman on the day of his Graduation from Princeton University (1942)

The Feynman Essays

“I went through fire on my first.”


Arnold Newman’s iconic 1956 portraits of Kurt Gödel

The Gödel Essays

“Modern math’s absolute Prince of Darkness” — David Foster Wallace


El Farol on Canyon Road in Santa Fe, New Mexico

Game Theory

“Oh that place. It’s so crowded nobody goes there anymore.” — Yogi Berra

Definition

Jørgen Veisdal

Editor at Cantor’s Paradise. Assistant Professor at the Norwegian University of Science and Technology.

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