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continuum hypothesis

Hypothesis that no set has a cardinality between that of the integers and that of the real numbers

Entityscientific hypothesisaxiomQ208416

Also known as Hilbert's first problem · CH

Instance of
Part of

Overview

All data

42 statements · 7% with external sources · numbers in brackets are citations

Discovered by
Defining formula
  • \aleph_0 \leq \kappa \leq 2^{\aleph_0} \Rightarrow \kappa = \aleph_0 \lor \kappa = 2^{\aleph_0}
Solved by
Discovered
  • 1877
Named after
Has characteristic
In defining formula
Short name
  • CH
  • HC
  • HC
Studied by
Logical consequence of
Independent of theory

On other databases

19 identifiers linking continuum hypothesis across the web's reference databases