Ep 75: To Infinity and Beyond — What's at the End of the Number Line?

One week after getting stalled talking about the number line and infinity, Zach and Rafe are back on track and finally get to what infinity really means.  The concept of one-to-one can be applied to the Natural Numbers to reveal the first level of infinity and Cantor's diagonalization argument is used to show that there are levels of infinity beyond the aleph-null, the cardinality of the natural numbers.As is typical, this foray into some pretty heady mathematics is punctuated by spontaneous sidebars, including discussions of cave paintings, wrapping paper, Lemonheads candy, and much more.  Come for the math and stay for the fun, or do it the other way around; it's a fun romp up the number line literally to infinity and beyond.*****As always, you can reach the Buf at [email protected]*****As you know, this is an independent podcast so your hosts also carry all the expenses of running this podcast.  As such, some of you have asked how you can help out.  Well, here's the answer: support us on Buy Me a Coffee:https://buymeacoffee.com/bufnagleOn this page, you can do a really nice thing like send us a couple dollars to help cover the cost of recording and hosting and microphones and research and all that.  Any little bit really helps!  Thank you in advance!!!