Definition of continuum hypothesis in English:
The assertion that there is no transfinite cardinal between the cardinal of the set of positive integers and that of the set of real numbers.
- In 1938, logician Kurt Godel proved that the continuum hypothesis is consistent with the standard axioms of set theory.
- The main focus of the 1964 paper is the continuum hypothesis, an interesting case study for Godel's philosophical view.
- In set theory he made important contributions to the axiom of choice and to the continuum hypothesis.
Definition of continuum hypothesis in:
- US English dictionary
What do you find interesting about this word or phrase?
Comments that don't adhere to our Community Guidelines may be moderated or removed.
Most popular in the US
Most popular in the UK
Most popular in Australia
Most popular in Malaysia
Most popular in India
Most popular in Pakistan