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I was wondering, in what way is this dichotomy between "top-down" and "bottom-up" mathematics related to the distinction between mathematicians who, deep down, prefer the Continuum Hypothesis to be true and those who think it is false?

(There are, of course, mathematicians who don't care at all, and this might be pertinent.)

Clarification: I was referring to Penelope Maddy's distinction that mathematicians who favored a "rich" and "large" universe of sets were against CH, while those favoring a "neat" and "controllable" universe favored CH.

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I was wondering, in what way is this dichotomy between "top-down" and "bottom-up" mathematics related to the distinction between mathematicians who, deep down, prefer the Continuum Hypothesis to be true and those who think it is false?

(There are, of course, mathematicians who don't care at all, and this might be pertinent.)