In set theory, the cardinality of the continuum refers to the size of the set of real numbers, denoted by c or |R|. This concept, proven by Georg Cantor, asserts that there are more real numbers than natural numbers and that the number of elements in the set of real numbers is equal to the power set of the natural numbers. The continuum hypothesis, which suggests that there are no sets with a cardinality between aleph-null (ℵ0) and c, remains undecidable within the Zermelo–Fraenkel set theory with axiom of choice (ZFC).
Stanford University
Winter 2020
CS 103A serves as an additional review course for CS103 students, focusing on strengthening proof-based mathematics skills and general problem-solving strategies in a context closely tied to CS103.
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