# Infinity: Countable Set and Continuum Hypothesis

**Topics:**Countable set, Georg Cantor, Infinity

**Pages:**2 (471 words)

**Published:**December 2, 2012

Courant, R. and Robbins, H. "The Denumerability of the Rational Number and the Non-Denumerability of the Continuum." §2.4.2 in What Is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 79-83, 1996. Jeffreys, H. and Jeffreys, B. S. Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, p. 10, 1988.

Cohen, P. J. "The Independence of the Continuum Hypothesis." Proc. Nat. Acad. Sci. U. S. A. 50, 1143-1148, 1963. Cohen, P. J. "The Independence of the Continuum Hypothesis. II." Proc. Nat. Acad. Sci. U. S. A. 51, 105-110, 1964. Cohen, P. J. Set Theory and the Continuum Hypothesis. New York: W. A. Benjamin, 1966.

Infinity also has a relationship with physics which can be seen and proved by the theoretical applications of physical infinity. The practice of refusing infinite values for measurable quantities does not come from a priori or ideological motivations, but rather from more methodological and pragmatic motivations. One of the needs of any physical and scientific theory is to give usable formulas that...

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