Others continue to look for "natural" or "plausible" axioms that, when added to ZFC, will permit either a proof or refutation of CH, or even for direct evidence for or against CH itself; among the most prominent of these is W. Hugh Woodin.
Outros continúan na procura de axiomas "naturais" ou "cribles" que ao seren engadidos á ZFC permitan, ou ben probar ou ben rexeitar HC, ou incluso procuran evidencias a prol ou en contra HC; entre estes destaca W. Hugh Woodin.