The Universe of Discourse

Previously: Ordinal numbers and basic set theory Ordinals as nim-heaps Nim always ends, even with infinite ordinals Infinite Nim as a coin-moving game Coin-moving games with no coins Productive programs and well-founded orders In part 4, Infinite Nim as a…

Previously: Ordinal numbers and basic set theory Ordinals as nim-heaps Nim always ends, even with infinite ordinals Infinite Nim as a coin-moving game Coin-moving games without the coins Previously we saw how to interpret the difficult-seeming ordinal as a

In mathematical study there are two kinds of theorems, which serve very different purposes.

Previously: Ordinal numbers and basic set theory Ordinals as nim-heaps Nim always ends, even with infinite ordinals Infinite Nim as a coin-moving game In the previous article we saw how to interpret Nim heaps of up to beans as coins on a quarter-infinite…

The bookshelf by my elbow, the one that I can reach without getting up, has seven books on it, not necessarily the ones I look in the most, but the ones whose emanations I most hope will infuse me as I write.

Previously: Ordinal numbers and basic set theory Ordinals as nim-heaps Nim always ends, even with infinite ordinals In the previous articles I talked about the game of Nim, a very simple game for two players: There are some piles of beans Players alternate

(Previously) Flukes and Breakthroughs In the NBA 2015–16 season, Steph Curry set the all-time single-season record for three-point field goals, 402, completely crushing the old record of 286.

Previously: Ordinal numbers and basic set theory Ordinals as nim-heaps [Yesterday][prev-2] I talked about the game of Nim, which involves two players taking beans from several piles, and an extension that includes green tokens that behave a bit like infin…

Previously: Ordinal numbers and basic set theory We're going to get to in a long and roundabout way.

This post is going to be about what infinite ordinal numbers are, and about is in particular.

A while back I related how I had been mocked by an English person for using the word “burglarize”.

This is my great-grandfather, born Dominusz Andor in Szeged, Hungary in 1886.