For Wednesday, April 12th, 2023:

Proof for Feedback:

Induction again!  Hamkins, exercise 4.1:  Show that 2^n\text{\textless} n\text{!} for all integers n \ge 4.


  1. Compare your recent proofs for feedback to solutions (all listed on “Materials Archive” above).
  2. Compare your last proof quiz (6, induction) to the solutions.  If you missed Monday’s class and don’t have your quiz back, contact me and I can send a picture.  Also, class was recorded so you can view it on canvas.
  3. Be prepared for the induction proof quiz on Wednesday.
  4. Read Hammack, Chapter 11 up to the end of 11.2.  Do exercises from 11.1 and 11.2.