I already know I screwed up a concept on Episode 2 of Motivating the Math. Would be great if I could just pin a post for stuff like this.

I didn't explain a Binary Operation (for a Group) correctly. I did leave a reference to a video that does explain it correctly and nothing I said will steer anyone wrong, but these things are what they are . The video addresses things in the first 20 seconds and I highly recommend it.

I'm still a noob w.r.t. Abstract Algebra and all things considered I actually think I did it justice.