This man proved the uniqueness of a function's representation as a trigonometric series, and he's the second namesake of a theorem that states that any continuous function from a compact space to another metric space is uniformly continuous.
This man proved the uniqueness of a function's representation as a trigonometric series, and he's the second namesake of a theorem that states that any continuous function from a compact space to another metric space is uniformly continuous. The first of Hilbert's twenty-three problems was proposed by this man and states that there is no set whose cardinality is strictly between that of the integers and reals. This man's namesake theorem states that for any set A, the cardinality of its power set is larger.   This man used his namesake diagonal argument to show that there are an infinite number of sets for which a bijection cannot be created with the set of natural numbers. For 10 points, name this mathematician who came up with the Continuum Hypothesis and created NaÃ¯ve Set theory.
This man proved the uniqueness of a function's representation as a trigonometric series, and he's the second namesake of a theorem that states that any continuous function from a compact space to another metric space is uniformly continuous.
Georg Cantor