UNLIKE Hudibras, who could, as we are told, “extract numbers out of matter,” Mr. Hopkins proposes in the essay before us to extract matter from numbers, or, as he says in the preface, “to show that ...

If we assume the axiom of choice, then every two cardinal numbers are comparable. In the absence of the axiom of choice, this is no longer so. For a few cardinalities related to an arbitrary infinite ...

Matthew Beard works for the University of Notre Dame, Australia, a Catholic University. This morning, Australian Catholics awoke to the news that black smoke billowed from the chimney of the Sistine ...