Draw a diagonal line across a unit square. Its length is √2, roughly 1.414. Now approximate that diagonal with a staircase of ...

Ambiguity and its cousins, contradiction and paradox, are everywhere in mathematics, both in content and thinking. Strangely, the subject that appears to be the very paradigm of reason, and that is ...

Sometimes your gut feelings lead you astray—particularly in mathematics, in which one constantly comes across results that seem impossible. For example, infinity does not always equal infinity, and ...