Bud Abbott, the landlord, collects thirteen week's worth of rent at $7 a week from his tenant, Lou Costello. Lou argues that he only owes $28. Perplexed by what Lou is saying, Bud offers to give Lou the room for free if he can prove to him why the answer is $28.
Jackie, Matt, and Inez set out to prove that Hacker doesn't deserve to be the ruler of Cyberspace. They try to find a counterexample to his statement that "you can always make a triangle out of any three rods." After some experimentation, they discover that one long rod and two short rods do not connect and therefore do not make a triangle. They present their findings during the debate.
A.O. Neville orders the separation of three half-caste girls, Molly, Gracie, and Daisy, from their parents as part of the 1905 Aboriginal Act. This act institutionalized racism and confined Aboriginal people in camps until their race became extinct. Regarding the aboriginal children, the goal was to assimilate them into white culture and train them to be domestic servants over time.
When Phoebe states that she doesn't believe in evolution, Ross tries to convince her that it is a fact through examples and scientific proof. Phoebe offers a counterargument using several examples in history when the brightest minds believed in a theory but found it to be incorrect.
In Episode 207, "Convergence," an old college rival comes to CalSci (Marshall Penfield, played by Colin Hanks,) to present new research on a gap he has found in Charlie's proof. Although Charlie does find a way to resolve the error term, it isn't clear to many people watching still what type of math Charlie really does do! What he studies falls into the area of probability and statistics involving what are called "random matrices." While the first activity has no prerequisites, the latter activities all assume some basic knowledge of linear algebra, matrices, and determinants.