释义 |
continuum hypothesis noun[ S ] mathematics specialized(alsoContinuum Hypothesis)uk /kənˈtɪn.ju.əm haɪˌpɒθ.ə.sɪs/ us /kənˈtɪn.ju.əm haɪˌpɑː.θə.sɪs/ a hypothesis(= an idea or explanation) about the possible sizes of infinite sets(= sets that do not have a limited number of elements): The Continuum Hypothesis cannot be resolved from the other axioms of Zermelo-Fraenkel set theory. Cantor's desperate attempts to prove his continuum hypothesis gradually eroded his sanity. He said that Cohen's solution of the Continuum Hypothesis would be remembered as one of the main achievements of mathematics in the past 50 years. The Continuum Hypothesis is said to be an independent statement. |