Examples of 'continuum hypothesis' in a sentence
Meaning of "continuum hypothesis"
continuum hypothesis: A conjecture in set theory regarding the possible sizes of infinite sets
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- The hypothesis which states that any infinite subset of ℝ must have the cardinality of either the set of natural numbers or of ℝ itself.
- The assumption, for the purposes of mathematical modelling, that the material being studied is a continuous mass rather than being composed of discrete particles.
How to use "continuum hypothesis" in a sentence
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continuum hypothesis
Equivalence of two forms of the continuum hypothesis.
The continuum hypothesis is thereby confirmed.
It became known as the continuum hypothesis.
The continuum hypothesis is undecidable.
This question leads to the famous continuum hypothesis.
Listed the continuum hypothesis as the most important unsolved problem in mathematics.
This is not yet the falsification of the continuum hypothesis.
Friedman justifies the continuum hypothesis with two sets of evidence.
The assumption that the answer is no is called the continuum hypothesis.
His inability to prove the continuum hypothesis caused him considerable anxiety.
The theory he developed involves a controversial argument that the continuum hypothesis is false.
The famous continuum hypothesis asserts that is also the second aleph number.
Gödel did not prove that the continuum hypothesis is true.
The continuum hypothesis can neither be proved nor disproved in ZFC.
You can never prove that the continuum hypothesis is false.
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Today mathematicians insert a statement that says whether the result depends on the continuum hypothesis.
There was one mathematics where the continuum hypothesis could be assumed to be true.
This way they show that the problem of learnability is equivalent to the continuum hypothesis.
He also showed that the continuum hypothesis can not be disproved from the.
A typical difference between the universe and multiverse views is the attitude to the continuum hypothesis.
Many large cardinal axioms were studied but the continuum hypothesis remained independent from them.
The continuum hypothesis was not the first statement shown to be independent of ZFC.
One such problem was the Continuum hypothesis.
Gödel proved that the Continuum Hypothesis was not inconsistent with the axioms of set theory.
Georg Cantor advances the continuum hypothesis.
His Continuum Hypothesis is the proposition that is the same as.
I have proved that the Continuum Hypothesis is not true.
The continuum hypothesis and the axiom of choice, are examples of possible transcendental decision points.
Set theory and the Continuum Hypothesis.
The continuum hypothesis is that the cardinality of the reals is Aleph 1.
I have proved the Continuum Hypothesis.
If the continuum hypothesis holds then N * is the unique Parovicenko space, up to isomorphism.
When he could not solve the Continuum Hypothesis.
In particular, the Continuum Hypothesis would be true in this universe.
Candor 's conjecture became known as the continuum hypothesis.
Walter Rudin proved that the continuum hypothesis implies the existence of Ramsey ultrafilters.
Cantor 's conjecture became known as the continuum hypothesis.
Those problems for which the continuum hypothesis fails, can be solved using statistical mechanics.
Borel 's conjecture is not consistent with the continuum hypothesis.
The generalized continuum hypothesis holds in I 7.
In his later years, he tried in vain to prove the continuum hypothesis.
Continuum hypothesis Cardinality of the continuum Beth number Easton 's theorem Gimel function.
That said, under the right circumstances, the continuum hypothesis produces extremely accurate results.
Woodin is a set theorist, and has spent his life trying to solve the continuum hypothesis.
Martin 's axiom plus the negation of the Continuum Hypothesis implies the Suslin Hypothesis.
The continuum hypothesis says, yes, there are.
Until he read about Cantor 's continuum hypothesis.
ZFC with the continuum hypothesis is a Π21-conservative extension of ZFC.
He had begun working on the independence of the continuum hypothesis towards the end of 1962.
The continuum hypothesis says that formula 9, i . e.
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Examples of using Hypothesis
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This hypothesis needs to be studied in future research
There might be the hypothesis of the accident
This hypothesis was at the basis of quantum mechanics
Examples of using Continuum
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They have got the continuum transfunctioner
Continuum from relief to rehabilitation and development
You have activated the continuum transfunctioner
