For 21 centuries, mathematicians worried about a fundamental assumption made by Euclid of Alexandria: that parallel lines must meet at infinity. Could geometry ‘work’ without this assumption? The answer caused mathematicians to reassess the nature of mathematics itself.
For 21 centuries, mathematicians worried about a fundamental assumption made by Euclid of Alexandria: that parallel lines must meet at infinity. Could geometry ‘work’ without this assumption? The answer caused mathematicians to reassess the nature of mathematics itself.