Is the Continuum Hypothesis a definite mathematical problem? DRAFT 9/18/11 For: Exploring the Frontiers of Incompleteness (EFI) Project, Harvard 2011-2012
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چکیده
[t]he analysis of the phrase “how many” unambiguously leads to a definite meaning for the question [“How many different sets of integers do their exist?”]: the problem is to find out which one of the א ‟s is the number of points of a straight line... Cantor, after having proved that this number is greater than א0, conjectured that it is א1. An equivalent proposition is this: any infinite subset of the continuum has the power either of the set of integers or of the whole continuum. This is Cantor‟s continuum hypothesis. ...
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