Proof of infinite monkey theorem. - Mathematics Stack Exchange
Apr 24, 2015 · The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will …
Example of infinite field of characteristic $p\neq 0$
May 11, 2023 · Can you give me an example of infinite field of characteristic $p\\neq0$? Thanks.
What is the difference between "infinite" and "transfinite"?
Jun 6, 2020 · The reason being, especially in the non-standard analysis case, that "infinite number" is sort of awkward and can make people think about $\infty$ or infinite cardinals …
real analysis - Meaning of Infinite Union/Intersection of sets ...
Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 8 months ago Modified 4 years, 1 month ago
If $S$ is an infinite $\sigma$ algebra on $X$ then $S$ is not …
6 Show that if a $\sigma$-algebra is infinite, that it contains a countably infinite collection of disjoint subsets. An immediate consequence is that the $\sigma$-algebra is uncountable.
proof writing - Infinite set always has a countably infinite subset ...
Aug 20, 2015 · 28 Welcome to the wormhole. A set which has a countably infinite subset is called Dedekind Infinite. It is not provable within Zermelo-Fraenkel set theory (ZF) that every infinite …
general topology - Why is the infinite sphere contractible ...
Why is the infinite sphere contractible? I know a proof from Hatcher p. 88, but I don't understand how this is possible. I really understand the statement and the proof, but in my imagination this...
elementary set theory - What do finite, infinite, countable, not ...
What do finite, infinite, countable, not countable, countably infinite mean? [duplicate] Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago
An infinite union of closed sets is a closed set?
Apr 24, 2013 · An infinite union of closed sets is a closed set? Ask Question Asked 12 years, 6 months ago Modified 9 months ago
linear algebra - Definition of Infinite Dimensional Vector Space ...
Sep 24, 2020 · In the text i am referring for Linear Algebra , following definition for Infinite dimensional vector space is given . The Vector Space V(F) is said to be infinite dimensional …