Bunuel
When a region is in a drought, the water level of rivers and streams is seriously reduced. When water levels are down, food is also scarce for wildlife. Therefore, if food is not scarce for wildlife, then the region is not in a drought.
In which one of the following selections does the reasoning most closely follow the reasoning in the above passage?
(A) If the dirty clothes hamper is full, the sock drawer is empty, and if the sock drawer is empty, the dirty clothes hamper is full, so if the sock drawer is not empty, the clothes hamper is not full.
(B) If the temperature falls below freezing, the petunias will die, and if the petunias die, they will not flower any more, so if the petunias still produce flowers, the temperature is not below freezing.
(C) If raccoons bear live young, they must be mammals, so if they are amphibians, they must lay eggs to reproduce, if they reproduce at all.
(D) If you want to fix an omelet, you will have to use six eggs, and you will have no eggs left for pancakes, so if you make the omelet, you won’t be able to fix pancakes.
(E) If earth scientists are correct, global temperatures are warming, and if the earth’s temperature increases, ocean levels will rise, so if ocean levels rise, earth scientists were correct.
Original Argument of the author:Premises:When a region is in a drought, the water level reduces.
When water level reduces, food is scarce for wildlife.
Conclusion:If food is not scarce for wildlife, then the region is not in a drought.
The argument is valid.
If/when A (draught), then B (low water level).
If/when B (low water level), then C (scarce food).
This leads to if/when A (draught), then C (scarce food).
From our understanding of the if-then conditionals, we know that in this case, ‘not C’ implies ‘not A’. So, if food is not scarce, we can say that there is no drought.
Premises:
If A, then B.
If B, then C.
Conclusion:
Since not C so not A.
We need to find another argument with similar reasoning.
(A) If the dirty clothes hamper is full, the sock drawer is empty, and if the sock drawer is empty, the dirty clothes hamper is full, so if the sock drawer is not empty, the clothes hamper is not full.
If A (hamper full), then B (sock drawer empty).
If B, then A.
This means A and B always occur together.
This is not the same structure as our original argument. Our original argument has ‘If A, then B.’ and ‘If B, then C.’
(B) If the temperature falls below freezing, the petunias will die, and if the petunias die, they will not flower anymore, so if the petunias still produce flowers, the temperature is not below freezing.Premises:
If A (temp. falls), then B (petunias die).
If B (petunias die), then C (no flowers).
Conclusion:
Since not C (do produce flowers) so not A (temp does not fall).
This is the same structure as our original argument. Correct.
(C) If raccoons bear live young, they must be mammals, so if they are amphibians, they must lay eggs to reproduce, if they reproduce at all.This is not the same structure as our original argument of ‘if A, then B; if B, then C’
(D) If you want to fix an omelet, you will have to use six eggs, and you will have no eggs left for pancakes, so if you make the omelet, you won’t be able to fix pancakes.
Premises:
If A (fix omelet), then B (use 6 eggs).
If B (use 6 eggs), then C (no pancakes).
Conclusion:
So, if A (fix omelette), then C (no pancakes).
This is not the same structure as our original argument in which the conclusion was ‘since not C so not A.’
(E) If earth scientists are correct, global temperatures are warming, and if the earth’s temperature increases, ocean levels will rise, so if ocean levels rise, earth scientists were correct.
Premises:
If A (scientists correct), then B (temp rising).
If B (temp rising), then C (ocean levels will rise).
Conclusion:
If C (ocean levels rise) then A (scientists are correct).
This is not a valid argument. ‘If A, then C’ does not imply ‘if C, then A’.
This is not the same structure as our original argument.
Answer (B)
Discussion on Mimic Questions: https://youtu.be/dHU17plF2mc