Continuum (mathematics)

In mathematics (particularly in set theory), the continuum refers to either the real numbers, or the cardinality of the set of real numbers (also written as ${\mathfrak {c}}$ ).^[1]^[2] Continuum hypothesis is the hypothesis that the cardinality of the continuum is the same as aleph one.^[2] It turns out that neither this hypothesis nor its negation contradicts the tenets of set theory itself.^[3]

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References change

↑ "Greek/Hebrew/Latin-based Symbols in Mathematics". Math Vault. 2020-03-20. Retrieved 2020-10-07.
↑ ^2.0 ^2.1 "Transfinite number | mathematics". Encyclopedia Britannica. Retrieved 2020-10-07.
↑ Weisstein, Eric W. "Continuum". mathworld.wolfram.com. Retrieved 2020-10-07.

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[1] "Greek/Hebrew/Latin-based Symbols in Mathematics". Math Vault. 2020-03-20. Retrieved 2020-10-07.

[:0-2] 2.0 ^2.1 "Transfinite number | mathematics". Encyclopedia Britannica. Retrieved 2020-10-07.

[3] Weisstein, Eric W. "Continuum". mathworld.wolfram.com. Retrieved 2020-10-07.

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