Is The Continuum Hypothesis Solved? The continuum hypothesis is a problem of a very different kind; we actually can prove that it is impossible to solve it using current methods, which is not a completely unknown phenomenon in mathematics. Is the continuum hypothesis an axiom? The answer to this problem is independent of ZFC, so
Is The Continuum Hypothesis True? Gödel Is the continuum real? Gödel conceived of a small and constructible model universe called “L,” populated by starting with the empty set and iterating it to build bigger and bigger sets. In the universe of sets that results, the continuum hypothesis is true: There is no infinite set between
What Is A Continuum In Math? In the mathematical field of point-set topology, a continuum (plural: “continua”) is a nonempty compact connected metric space, or, less frequently, a compact connected Hausdorff space. Continuum theory is the branch of topology devoted to the study of continua. Is a continuum infinite? In 1873 the German mathematician Georg