Infinity Has a Story to Tell

In this opening lecture, Joel David Hamkins invites viewers into a wide-ranging exploration of infinity. He previews the major puzzles and paradoxes the series will tackle, from Zeno's paradox and supertasks to Galileo's paradox and the crucial distinction between the potentially infinite and the actually infinite. The series traces a historical arc from classical thinkers like Aristotle and Archimedes through Galileo, Frege, Dedekind, and Cantor, arriving at twentieth-century giants such as Gödel, Tarski, and Russell. Hamkins highlights Cantor's discovery of the difference between countable and uncountable infinity as a particularly profound turning point. At the heart of the lecture is an optimistic claim: the study of infinity represents a case of genuine intellectual progress. Ideas that once seemed hopelessly confusing have, over centuries of careful thought, yielded real insight. Hamkins makes the case that we now understand infinity far better than ever before, and he invites viewers to follow along as the story unfolds.