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- 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
- Infinite monkey theorem and numbers - Mathematics Stack Exchange
I had a discussion with a friend about the monkey infinite theorem, the theorem says that a monkey typing randomly on a keyboard will almost surely produce any given books (here let's say the bible
- elementary set theory - What is the definition for an infinite set . . .
However, while Dedekind-infinite implies your notion even without the Axiom of Choice, your definition does not imply Dedekind-infinite if we do not have the Axiom of Choice at hand: your definition is what is called a "weakly Dedekind-infinite set", and it sits somewhere between Dedekind-infinite and finite; that is, if a set is Dedekind
- set theory - Hilberts Grand Hotel is always hosting the same infinite . . .
From an excellent answer here, I gather that 1 is taken to mean that the hotel is hosting an infinite set of guests and that 2 means things have changed, we now have to reassign every room again to accommodate a new infinite set of guests (eg: the ones before + 1) I saw other threads and answers But the "new" set is just the same old set
- What is the difference between infinite and transfinite?
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 somehow, which may be giving the wrong impression But "transfinite number" sends, to me, a somewhat clearer message that there is a particular context in which the term takes
- Does infinite equal infinite? - Mathematics Stack Exchange
All three integrals are divergent and infinite and have the regularized value zero, but two of them are equal but not equal to the third one In other cases of divergent integrals or series, the regularized value and or growth rate (germ at infinity) or behavior at a singularity can differ as well or the differences can compensate for each
- linear algebra - Definition of Infinite Dimensional Vector Space . . .
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 vector space or infin
- In an infinite sum, is there an actual term at an infinite position?
In an infinite sum, is there an actual term at an infinite position? [duplicate] Ask Question Asked 2 years ago Modified 1 year, 11 months ago
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