▶︎ 0:00 Hello. I'm Joel David Hamkins, and welcome to this series of lectures on infinity.
▶︎ 0:04 I want to show you all my favorite conundrums and paradoxes of infinity. We're going to see Zeno's paradox, and the paradox of supertasks, Galileo's paradox,
▶︎ 0:14 The distinction between the potentially infinite and the actually infinite.
▶︎ 0:18 Eventually, we'll find the distinction between the countably infinite and the uncountably infinite, a profound idea due to Cantor.
▶︎ 0:25 We'll start with Zeno and the classical ideas of Aristotle and Archimedes, but eventually, we'll move through Galileo, and then we'll see Frege, and Dedekind, and Cantor, and the 20th century thinkers of Gödel and Tarski, Russell, and so on, the contemporary ideas.
▶︎ 0:41 To my way of thinking, the study of infinity is a case where there has been genuine progress. We have come to understand these incredibly confusing, mystifying ideas to a state now where we can say that we understand things much better, actually. These ideas that were formerly confusing, now we think we have some insight about them.
▶︎ 1:03 So please join me in these lectures and follow along.