Question

Is there, for every set $X$, a set $Y$ for which $|Y| < |X|$ but $|\mathcal{P}(Y)| \geq |X|$?

score 185 · Answer 1 · 2014-03-22 23:32:02

185

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Is there, for every set $X$, a set $Y$ for which $|Y| < |X|$ but $|\mathcal{P}(Y)| \geq |X|$?

Published on 22 Mar 2014 - 23:32

score 602 · Answer 2 · 2014-03-24 08:55:25

602

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224

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score 2.9k · Answer 5 · 2014-03-27 11:07:22

2.9k

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score 151 · Answer 6 · 2014-03-29 18:47:14

151

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score 387 · Answer 7 · 2014-03-30 02:24:47

387

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score 112 · Answer 8 · 2026-03-27 02:50:38

112

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Is $\lim\limits_{n \to \infty} n$ "equal" to $\mathbb{N}$?

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score 45 · Answer 9 · 2014-03-30 10:26:23

45

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Is there an expression for $(S/k)$ where $S=\sum_{n=1}^\infty n$ and $k \in \mathbb{Z}$?

Published on 30 Mar 2014 - 10:26

score 130 · Answer 10 · 2014-04-01 12:33:34

130

Views

$\lim_{n\to \infty} {\sqrt[n]{n^{-n}+2^n}}$?

Published on 01 Apr 2014 - 12:33

score 2.1k · Answer 11 · 2014-04-07 16:17:26

2.1k

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Does the Mandelbrot fractal contain countably or uncountably many copies of itself?

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score 175 · Answer 12 · 2014-04-08 04:35:25

175

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score 367 · Answer 13 · 2026-03-25 23:11:10

367

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score 43.3k · Answer 14 · 2014-04-12 16:06:51

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score 5.7k · Answer 15 · 2014-04-19 15:19:10

5.7k

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Published on 19 Apr 2014 - 15:19

List Question

Is there, for every set $X$, a set $Y$ for which $|Y| < |X|$ but $|\mathcal{P}(Y)| \geq |X|$?

Why does $ (\frac{1}{2})^∞ = 0?$

Infinity and Hilbert's hotel paradox

Infinite chessboard question

What is the cardinality of the set of infinite cardinalities?

Why are these expressions indeterminate expressions?

Is Continuum Hypothesis false?

Is $\lim\limits_{n \to \infty} n$ "equal" to $\mathbb{N}$?

Is there an expression for $(S/k)$ where $S=\sum_{n=1}^\infty n$ and $k \in \mathbb{Z}$?

$\lim_{n\to \infty} {\sqrt[n]{n^{-n}+2^n}}$?

Does the Mandelbrot fractal contain countably or uncountably many copies of itself?

Calculus 2 Integral Question

Equal number of 1s and 0s in number of n digits

Is infinity a real number?

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