Difference between revisions of "Infinite Defenestration"
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Revision as of 13:33, 28 November 2017
Infinite Defenestration is a method of proof which utilizes repeatedly thowing members of a party out a window. It relies on that given 
people at a party, it is possible to throw 
member out the window, leaving 
members remaining.
Problem 1. Prove that given attendees of a party, one can defenestrate a member times.
Proof.
Lemma: Given integer 
, 
members of a party of size .
We use the induction rule. We start with 
, which is trivial.
We induct; give 
members defenestrated, 
remain. We throw out member, leaving us with 
members defenestrated and 
members remaining.
Thus lemma is true. Plugging in 
, we have Q.E.D.
Try your hand at the following problems:
Problem 2. Prove that given couples, you can defenestrate couple times.
Problem 3. Jim and his wife Jeri attend a party with 4 other married couples. As they enter, Jim and Jeri shake hands with some of the guests, but not with each other. During the evening, each person except 1 shakes hands with some of the guests, but not with their spouse. After the party, Jim asks each guest how many people they shook hands with and got answers 0,1,2,3,4,5,6,7,8. How many people did Jeri shake hands with?
