Finish up what you can of the worksheet from class today. You’ll find the worksheet online including a hint sheet — with that you should be able to make further progress. This is the topic of Pigeonhole Principle and I will now assume you can use this as a proof method (in simpler circumstances). Some examples with worked solutions can be found in Hammack, Section 12.3.

Badges on Friday will now include all Logic badges. There’s one we haven’t discussed yet: Converse and Contrapositive. This is a quick one, and I’ll discuss it briefly in class, but you can also look this up in your book. The quiz will also include Sets badges for the second-to-last time, so please study any of those that you are missing.