Hello, here's the reasoning I used to solve the problem:
the argument can be summarized as follow:
- Premise: All PM know other PM's work; PM -> know other PM's work
- Conclusion: rof M knows about the work of some PM -> M is a PM
The conclusion of the argument is based on the incorrect contrapositive of the conditinal presented in the premise.
Contrapositive: NOT(know other PM's work) -> NOT(PM)
incorrect contrapositive: Know other PM's work -> PM
Option A: Flight delayed by G -> connecting flights delayed by G
Connecting flight delayed -> flight delayed by G
Flaw: incorrect contrapositive (treats the necessary condition as the sufficient condition)
CORRECT becuase it commits the same logical flaw!
Option B: miss shift -> work harder
NOT(miss shift) -> NOT(work harder)
Flaw: none. this just states that the sufficient condition is not activated therefore the necessary condition is also not activated. But notice that the structure of reasoning is not the same as in the arg
INCORRECTOption C:fuel price down -> expenses down
fuel prices down last year -> profit
Flaw: price down last year -> expense down ?? profit. the option above commits a different flaw. it make as leap from expense being down to profit.
INCORRECTOption D:Emp > 1yr -> retirement plan
G > 3yr -> retirement plan
Flaw: none, valid conditional reasoning
INCORRECTOption E:Comp reduce fare -> (G reduce fare) or (lose customer)
NOT(lose customer) -> NOT(comp reduce fare)
valid contrapositive: NOT(G reduce fare) and NOT(lose customer) -> NOT(Comp reduce fare)
flaw: invalid conclusion given the conditional reasoning, AND it is not the same flaw as the one commited by the arg
INCORRECTHovkial
Paleomycologists, scientists who study ancient forms of fungi, are invariably acquainted with the scholarly publications of all other paleomycologists. Professor Mansour is acquainted with the scholarly publications of Professor DeAngelis, who is a paleomycologist. Therefore, Professor Mansour must also be a paleomycologist.
The flawed pattern of reasoning in the argument above is most similar to that in which one of the following arguments?
(A) When a flight on Global Airlines is delayed, all connecting Global Airlines flights are also delayed so that the passengers can make their connections. Since Frieda’s connecting flight on Global was delayed, her first flight must have also been a delayed Global Airlines flight.
(B) Any time that one of Global Airlines’ local ticket agents misses a shift, the other agents on that shift need to work harder than usual. Since none of Global’s local ticket agents missed a shift last week, the airline’s local ticket agents did not have to work harder than usual last week.
(C) Any time the price of fuel decreases, Global Airlines’ expenses decrease and its income is unaffected. The price of fuel decreased several times last year. Therefore, Global Airlines must have made a profit last year.
(D) All employees of Global Airlines can participate in its retirement plan after they have been with the company a year or more. Gavin has been with Global Airlines for three years. We can therefore be sure that he participates in Global’s retirement plan.
(E) Whenever a competitor of Global Airlines reduces its fares, Global must follow suit or lose passengers. Global carried more passengers last year than it did the year before. Therefore, Global must have reduced its fares last year to match reductions in its competitors’ fares.