continuum hypothesis

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noun Mathematics.

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.

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Origin of continuum hypothesis

First recorded in 1935–40

Words nearby continuum hypothesis

continuous variation, continuous wave, continuous waves, continuous welded rail, continuum, continuum hypothesis, conto, contoid, contort, contorted, contortion

How to use continuum hypothesis in a sentence

Though researchers have struggled to understand exactly what contributes to this gender difference, Dr. Rohan has one hypothesis.
9 Ways to Cope With Seasonal Affective Disorder|DailyBurn|December 5, 2014|DAILY BEAST
The leading hypothesis for the ultimate source of the Ebola virus, and where it retreats in between outbreaks, lies in bats.
Bats’ Link to Ebola Finally Solved|Carrie Arnold|November 12, 2014|DAILY BEAST
In 1996, John Paul II called the Big Bang theory “more than a hypothesis.”
Even the Pope Isn’t a Hard-Core Creationist|Barbie Latza Nadeau|October 28, 2014|DAILY BEAST
To be clear: There have been no double-blind or controlled studies that conclusively confirm this hair-loss hypothesis.
Birth Control Made My Hair Fall Out, and I’m Not the Only One|Molly Oswaks|October 14, 2014|DAILY BEAST

The bacteria-driven-ritual hypothesis ignores the huge diversity of reasons that could push someone to perform a religious ritual.
The Midichlorians Made Me Do It: Can Microbes Explain Religion?|Michael Schulson|August 10, 2014|DAILY BEAST
And remember it is by our hypothesis the best possible form and arrangement of that lesson.
The Salvaging Of Civilisation|H. G. (Herbert George) Wells
Taken in connection with what we know of the nebulæ, the proof of Laplace's nebular hypothesis may fairly be regarded as complete.
Outlines of the Earth's History|Nathaniel Southgate Shaler
What has become of the letter from M. de St. Mars, said to have been discovered some years ago, confirming this last hypothesis?
Notes and Queries, Number 196, July 30, 1853|Various
To admit that there had really been any communication between the dead man and the living one is also an hypothesis.
Urania|Camille Flammarion
"I consider it highly probable," asserted Aunt Maria, forgetting her Scandinavian hypothesis.
Overland|John William De Forest

British Dictionary definitions for continuum hypothesis

continuum hypothesis

noun

maths the assertion that there is no set whose cardinality is greater than that of the integers and smaller than that of the reals

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012