Logic
An argument is sound under these conditions.
What is if and only if it is both factually correct and valid?
Thomas thinks it's most likely that this slice of pizza will be delicious.
What is subjective probability?
The probability of drawing either a three or an even number at random from a standard deck of cards.
What is 6/13?
If aPb and bPc, then aPc by this condition.
What is the transitivity condition?
Will's betting rate if he bets $6 on Carlton being unable to swim and Carlton bets $4 against this.
What is 3/5?
P1: Tom Brokaw says that Gerald Ford was eaten by wolves.
C: So, Gerald Ford was eaten by wolves.
What is inference from testimony?
This interpretation holds that probabilities are relative frequencies of attributes in finite empirical collectives.
What is frequency interpretation (1)?
The probability of these two sequences of coin flips: HTHH first and HTTT second.
What is 1/32?
What is maximize expected utility?
The aim of the coherence argument.
What is to show that personal degrees of belief should obey the basic rules of probability?
An argument is valid under these conditions.
What is if and only if it is impossible for all the premises to be true and the conclusion false?
This interpretation holds that probabilities are propensities of experimental setups to realize outcomes in the long term.
What is the long-run propensity interpretation?
Pr(AvB) where A is "Meatwad's single "Chicken and Beans" is certified platinum," B is "Master Shake's single "Bruschetta Nights" is certified platinum," Pr(A) = 4/5, Pr(B/A) = 2/20, and Pr(B/~A) = 1/20.
What is 81/100?
Choose the option whose best outcome is at least as good as the best outcome of every other option.
What is the maximax rule?
Mike's payoff with the following betting rates on a stake of $17: 9/17 that Laserblast will be a good movie (A) and 13/17 that Laserblast will not be a good movie (~A).
A conditional is true in these circumstances.
What is if and only if the antecedent is false or the consequent is true?
The likelihood of drawing some number diamonds in 300 random draws from a standard deck of cards.
What is objective probability?
Pr(A/B), where A is "this roll of the die is an even number" and B is "this roll of the die is a two."
What is 1?
This is the main objection to the maximin rule.
What is if given the choice between (A) $1 for sure and (B) a gamble between $0 and $z, maximin says to choose A when it can be rational to choose B?
The name for the probability of the evidence given the hypothesis in Bayes' Rule.
What is the likelihood?
P1: If Rousseau wrote Emile, then Rousseau wrote Julie.
P2: It's not the case that Rousseau wrote Julie.
C: So, it's not the case that Rousseau wrote Emile.
What is modus tollens?
The problem with sequences like HT HHTT HHHHTTTT... for frequency interpretation (2).
What is that there is no relative frequency in the limit?
Pr(H/E) where H is "this person is from Lawrence," E is "this person roots for KU," Pr(H) = 3/4, Pr(E/H) = 10/12 and Pr(E/~H) = 3/12
What is 10/11?
The rational choice between (A) a 1/4 chance at -5 utils and a 3/4 chance at 2 utils, (B) a 1/3 chance at -7 utils, a 1/3 chance at 0 utils, and a 1/3 chance at 7 utils, and (C) a 2/5 chance at 4 utils and a 3/5 chance at -3 utils.
What is A?
Pr(H/E&F), where Pr(H) = 5/6, Pr(E/H) = 4/10, Pr(E/~H) = 5/10, Pr(F/H&E) = 7/9, and Pr(F/~H&E) = 1/9.
What is 28/29?