Philosophy Puzzle 11
Paper details:
1. Ihavetwodice.Onehas4sides(labeled1,2,3,4)andtheotherdicehas20 sides (labeled 1, 2, 3…20). Suppose I chose which die I’m going to roll by flipping a fair coin. Suppose you don’t see which die I rolled but I tell you that I rolled a 3. What it is the probability that I rolled the 20 sided die?
2. Translate the following argument into Aristotelian Form and then using a Venn diagram determine whether it’s valid or not:
Some harmful remarks are not respectful comments, since some appropriate assertions are harmless remarks, and all disrespectful comments are inappropriate assertions.
3. It is false that some identity crises are tranquil happenings.Therefore, is it true that some identity crises are not tranquil happenings? Use the Square of Opposition to justify your answer.
4. Translate the following argument into Aristotelian Form and then using a Venn diagram determine whether it’s valid or not:
When people delay marriage the divorce rate increases and nowadays people are delaying marriage so it’s obvious that we’re seeing an increase in divorce rates nowadays.
5. Given the categorical proposition “Some unbelievable yarns are fictitious tales.” If the quantity but not the quality is changed, the resulting proposition is:
In 6 and 7 you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement.
6. Some A are not B. (F) Contraposition a. Some B are not non-A. (F)
b. Some non-B are not non-A. (F)
c. SomeAareB.(T)
d. Some non-B are not non-A. (Und.) e. Some B are not A. (Und.)
7. Some A are B. (T) Obversion
a. SomeBareA.(T)
b. Some non-B are non-A. (T)
c. Some non-A are not non-B. (T) d. Some A are not non-B. (T)
e. Some non-A are not B. (Und.)
8. Given two urns, one containing 1 yellow, 3 red, and 5 blue balls, and the other containing 4 yellow, 2 red, and 3 blue balls. If a single ball is drawn from each, what is the probability that one is red, the other is blue?
a. 2/3
b. 3/27 c. 77/81 d. 19/81 e. 1/3
9. Given the event described in question 8, what is the probability that at least one is either yellow or red?
a. 7/9
b. 5/27
c. 1/3 d. 2/3 e. 22/27
10. Is it possible to have a valid argument with exactly one logically true premise? If it is, give an example of it. If it’s not, state that it’s not possible.
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