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1. ## Continuum hypothesis - Wikipedia

https://en.wikipedia.org/wiki/Continuum_hypothesis
• In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: There is no set whose cardinality is strictly between that of the integers and the real numbers. The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900. he answer to this problem is independent of ZFC set theory (that is, Zermelo–Fraenkel set theory with the...
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2. ## The Continuum Hypothesis (Stanford Encyclopedia of Philosophy)

https://plato.stanford.edu/entries/continuum-hypothesis

The cardinal 20 is important since it is the size of the continuum (the set of real numbers). Cantor's famous continuum hypothesis (CH) is the statement that 20 =1. This is a special case of the generalized continuum hypothesis (GCH) which asserts that for all , 2=+1.

3. ## Math is Understanding, the Continuum hypothesis and ...

4/16/2013 · Cool Math, Math is Understanding, the Continuum hypothesis and computational proof http://youtu.be/ekZrJ9jjNXQ Math is understanding Math relies on understanding to ...

• Автор: Cool Math
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4. ## Continuum hypothesis | mathematics | Britannica.com

https://www.britannica.com/science/continuum-hypothesis

Continuum hypothesis, statement of set theory that the set of real numbers (the continuum) is in a sense as small as it can be. In 1873 the German mathematician Georg Cantor proved that the continuum is uncountable—that is, the real numbers are a larger infinity than the counting numbers—a key result in starting set theory as a mathematical subject.

5. ## The Continuum Hypothesis

www.continuum-hypothesis.com/ch.php

Any matching misses some of the elements of C. Hence C is bigger than N. (BTW, C stands for 'continuum' - it's a continuous range of numbers). The Continuum Hypothesis ... When I retire, I vow to learn about forcing, starting by reading Forcing for Dummies. In other ... The Generalized Continuum Hypothesis. You're probably wondering if there ...

6. ## Continuum hypothesis - Simple English Wikipedia, the free ...

https://simple.wikipedia.org/wiki/Continuum_hypothesis

The continuum hypothesis is a hypothesis that there is no set that is both bigger than that of the natural numbers and smaller than that of the real numbers. Georg Cantor stated this hypothesis in 1877. There are infinitely many natural numbers, ...

7. ## Continuum Hypothesis -- Math Fun Facts

https://www.math.hmc.edu/funfacts/ffiles/30002.4-8.shtml

Continuum Hypothesis: We have seen in the Fun Fact Cantor Diagonalization that the real numbers (the "continuum") cannot be placed in 1-1 correspondence with the rational numbers. So they form an infinite set of a different "size" than the rationals, which are countable.

8. ## Can the Continuum Hypothesis Be Solved? | Institute for ...

https://www.ias.edu/ideas/2011/kennedy-continuum-hypothesis

The continuum hypothesis was under discussion as an "undecidable statement" at the Princeton University Bicentennial Conference on "Problems of Mathematics" in 1946, the first major international gathering of mathematicians after World War II.

9. ## The Math Kid • Simple explanation of the continuum hypothesis.

themathkid.tumblr.com/post/...explanation-of-the-continuum-hypothesis

Simple explanation of the continuum hypothesis. The Math Kid. Recreational mathematician. Grew up a math nerd and consider the subject a major part of my identity. Fascinated by just about everything. Here's hoping this blog will open me up to some more creative outlets. That might be good for me at this juncture in my life :)

10. ## What is continuum hypothesis? - Quora

https://www.quora.com/What-is-continuum-hypothesis

What is continuum hypothesis? Update Cancel. a d b y C u r o l o g y. Start your free trial today. Clear skin starts here. Get your custom skincare solution for free! ... Now Continuum hypothesis says that there is no set whose cardinality is greater than N and less than c. 422 Views · View 4 Upvoters.