HSP 135-01
Albion College
Fall 02025

Discussion questions for TUG Ch. 5-7
DLs: TBIAA


1. How does Pascal’s reasoning of imagined completion of the game differ from other viewpoints at the time?

2. As recently as the 1944, it was argued that number theory had “absolutely no practical use.” Number theory now is used for encryption. What other possible uses does number theory have in our ever evolving high-tech world?

3. Why do you think Fermat was so secretive, to the point that Descartes attacked him and forced him to reveal some of his proofs?

5. Considering the difficulties of communicating in the 1600’s, it is very impressive that Pascal and Fermat were able to work closely together without ever coming face to face. Knowing that Fermat was highly secretive, what do you think caused him to trust and work closely with someone that he never met?

8. The Chevalier de Méré has two strategies, with the probability of rolling a 6 with 1d6 thrown four times, and rolling double 6 on 2d6 over twenty-four rolls. What could the Chevalier do to increase his odds in the second case?

13. Fermat often changes the topic when Pascal’s explanations to Fermat’s solutions are drawn-out or confusing (81), why do you think he does this? Why does he not instruct Pascal on his simplified way of figuring out problems?

21. Pascal and Fermat are unaware of the impact they have on the world of mathematics, whereas Gaunt was convinced his pamphlet would have an impact, where do you think this

34. Pascal combined his knowledge of philosophy and mathematics in his theory known as “Pascal’s Wager” and Devlin (the author) calls it “cute” (101). Do you believe that probability has a place in discussing faith, or is it simply musing for fun?

55. What made using probability for determining potential lifespan any more morally acceptable than using it for gambling, and the act of gambling itself?

89. Is the modern day life insurance industry ethically acceptable, given that it’s effectively gambling about human life?

144. Did the plague’s severity have a significant effect on the king’s willingness to induct Graunt into the Royal Society for his research on predicting disease?