 Notice too that the Continuum Hypothesis, if true, would entail that the set \(\mathbf{R}\) of real numbers can indeed be well-ordered. Cantor was so committed to this viewpoint, that he presented the further hypothesis that every set can be well-ordered as “a fundamental and momentous law of thought”. Some years later, Hilbert called attention to both the Continuum Hypothesis and the well-ordering problem as Problem 1 in his celebrated list of ‘Mathematische Probleme’ (1900). Doing so was an intelligent way of emphasizing the importance of set theory for the future of mathematics, and the fruitfulness of its new methods and problems.