An Infinity of Infinities. Yes, infinity comes in many sizes. In 1873, the German mathematician Georg Cantor shook math to the core when he discovered that the “real” numbers that fill the number line — most with never-ending digits, like 3.14159… — outnumber “natural” numbers like 1, 2 and 3, even though there are infinitely many of both.

Why do irrational numbers exist? originally appeared on Quora: the place to gain and share knowledge, empowering people to learn from others and better understand the world. Answer by Alon Amit ...

On day ω + 1 more surreal numbers arise, such as the numbers ω + 1 and ω – 1, two new infinities. In addition, any real number can now be combined with ε, for example: ...

Brazilian forward Endrick could face competition from Gonzalo Garcia for Real Madrid's No. 9 shirt ahead of the 2025-26 season, as per Diario AS (via Madrid Xtra).