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  1. Continuum hypothesis - Wikipedia

    • 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...
    See more on en.wikipedia.org · Text under CC-BY-SA license
  2. Continuum hypothesis | mathematics | Britannica.com


    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.

  3. The Continuum Hypothesis (Stanford Encyclopedia of Philosophy)


    The continuum hypotheses (CH) is one of the most central open problems in set theory, one that is important for both mathematical and philosophical reasons. ... Cantor's famous continuum hypothesis (CH) is the statement that 2 ...

  4. Continuum Hypothesis -- from Wolfram MathWorld


    Continuum Hypothesis. The proposal originally made by Georg Cantor that there is no infinite set with a cardinal number between that of the "small" infinite set of integers and the "large" infinite set of real numbers (the "continuum"). Symbolically, the continuum hypothesis is that .

  5. Can the Continuum Hypothesis Be Solved? | Institute for ...


    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.

  6. Continuum - Hypothesis: Evolution - YouTube


    4/22/2015 · The Continuum Hypothesis and the search for Mathematical Infinity, W. Hugh Woodin - Duration: 55:20. Copernicus Center for Interdisciplinary Studies 20,727 views 55:20

    • Автор: Chuck Schuldiner
    • Переглядів: 5.2 тис.
  7. Fluid mechanics - Wikipedia

    • Fluid mechanics is the branch of physics concerned with the mechanics of fluids and the forces on them. It has applications in a wide range of disciplines, including mechanical, civil, chemical and biomedical engineering, geophysics, astrophysics, and biology. Fluid Mechanics can also defined as the science which deals with the study of behaviour of fluids either at rest or in motion. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect o
    See more on en.wikipedia.org · Text under CC-BY-SA license
  8. Continuum hypothesis | Define Continuum hypothesis at ...


    Continuum hypothesis definition, a conjecture of set theory that the first infinite cardinal number greater than the cardinal number of the set of all positive integers is the cardinal number of the set of all real numbers. See more.

  9. continuum hypothesis - Wiktionary


    A measure for when the continuum hypothesis can be considered appropriate is the Knudsen 1 number, Kn, which is defined as the ratio of a characteristic molecular length scale, e.g., the mean free path of molecules, and a characteristic length scale of macroscopic flow properties, e.g. a length scale of the smallest scales of fluid motion.

  10. 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
    • Переглядів: 27 тис.
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