A History of the Infinite - Adrian Moore

What exactly is the infinite? Is there more than one concept? How do we acquire the idea of the infinite? Can it coherently be thought at all? What did Aristotle mean by 'potential infinity' versus 'actual infinity'? What did Cantor mean by claiming that some infinities are bigger than others? Do infinities actually exist in the physical universe? Are space and time infinite? And what does reflection on the infinite reveal about our own finitude and our very place in the universe? These are just a few of the issues that are touched upon in this series. Many thinkers are discussed in the process, including Zeno, Aristotle, Aquinas, Descartes, Kant, Newton, Leibniz, Cantor, Russell, Gödel, and various others.