For a natural number n, a function named for this man gives n times the product over distinct prime factors of 1 plus 1 over the prime factors. The "number" named for him is equal to the number of antichains in the power set of a set containing n elements. An integral domain whose non-zero prime ideals are maximal, which is a Noetherian ring, and is integrally closed is a domain named for this man, and he earlier introduced the concept of (*) ideals in his Lectures on Number Theory. He also proposed a partition of the rationals into nonempty subsets M and N such that all the members of M are less than members of N, and that M has no greatest number. For 10 points, identify this mathematician who thus constructed the reals out of the rationa
For a natural number n, a function named for this man gives n times the product over distinct prime factors of 1 plus 1 over the prime factors. The "number" named for him is equal to the number of antichains in the power set of a set containing n elements. An integral domain whose non-zero prime ideals are maximal, which is a Noetherian ring, and is integrally closed is a domain named for this man, and he earlier introduced the concept of (*) ideals in his Lectures on Number Theory. He also proposed a partition of the rationals into nonempty subsets M and N such that all the members of M are less than members of N, and that M has no greatest number. For 10 points, identify this mathematician who thus constructed the reals out of the rationals, using his namesake "cuts."
For a natural number n, a function named for this man gives n times the product over distinct prime factors of 1 plus 1 over the prime factors.
Richard {Dedekind}