1.What is Pascal's Wager?
A.A bet that one cannot lose
B.An argument for probability theory
C.An argument for the existence of God
D.An argument for why you should believe in God
E.None of the above
2.Who was Pascal?
A.A painter
B.A bishop
C.A mathematician
D.None of the above
3. According to Pascal, what probability should you assign to the existence of God?
A.0
B.1
C.0.5
D.Some number strictly between 0 and 1
E.None of the above
4.According to Pascal, what utility will you get if you believe in God and he exists?
A.0
B.Negative infinity
C.Positive infinity
D.Some finite utility
E.None of the above
5.According to Pascal, infinity multiplied by any finite number is:
A.0
B.A smaller infinity
C.A larger infinity
Undefined
D.None of the above
6.To maximise expected utility is to:
A.Choose the action with maximal possible utility
B.Choose the action with maximal worst-case utility
C.Choose the action that results in the greatest utility, no matter how the world turns out
D.None of the above.
7.The "Many Gods" objection to Pascal's Wager is the objection that:
A.There are many gods, and Pascal assumed otherwise
B.There might be other Gods, and Pascal assumed otherwise
C.Pascal assumed that there are many gods
D.None of the above
8.The pay-offs for the St Petersburg Game are:
A.You get \$$2^N$ if the coin lands “tails” on the first toss
B.You get \$$2^N$ if the coin lands “heads” on the last toss
C.You get \$$1/2^N$ if the coin lands “heads” on the $N$th toss
D.You get \$$1/2^N$ if the coin lands “tails” on the $N$th toss
E.You get \$$2^N$ if the coin lands “heads” on the $N$th toss
F.None of the above
9.The expected utility of the St Petersburg Game:
A.Is infinite, and Pascal used this to argue that you should be believe in God
B.Is a large finite number that we cannot name
C.Is negatively infinite
D.None of the above
10.A mixed strategy is:
A.Any strategy that involves mixing some liquids together
B.Any strategy that leads to a utility mixture of different kinds of infinity
C.Is a strategy of randomly choosing a decision matrix
D.Is a strategy of randomly choosing from a set of basic actions
E.None of the above
11.Pascal's Wager is invalid because:
A.It assumes that anyone should assign some positive probability to God's existence
B.It assumes decision theory
C.It's conclusion is something that no-one should believe
D.It is morally bankrupt
E.There are other choices that minimise expected utility besides believing in God
F.None of the above
1 answer
2 answers