Question section of logical reasoning review
Started by
@chris_va
· started 2019-07-23 18:50
· last activity 2019-07-31 22:21
· 1 reply
Is #4 of the practice questions, diagrammed in the same manner as #3 in the review questions from the lecture? It just seems so convoluted its hard to breakdown. Thanks
-
Irina
· 2019-07-31 22:21
@chris_va,
Could you specify which lecture are you referring to?
The argument in question has the following structure:
If P then Q
Q
_________
Therefore, P
you can also use notation with arrows:
P->Q
Q
_____
P
If a person is red/green colorblind (P) they cannot distinguish between brown and green (Q).
G cannot distinguish between green-brown (Q)
Therefore, G is red/green colorblind (Q)
The fallacy in the argument is known as affirming the consequent, making it invalid.
Let's compare it to the answer choices:
(A) If P (fair-skinned) then Q (sunburn)
P (fair-skinned)
Therefore, Q (sunburn)
This is a valid argument.
(B) If P (sinusitis) then Q (lose sense of smell)
Q(lose sense of smell)
Therefore, P (sinusitis)
Bingo. This argument commits the exact same fallacy as the one in the stimulus.
(C) If P (jaundice) then not Q (donor)
Q (donor)
Therefore, not P (not jaundice)
This is also a valid argument.
(D) If P (color-blind) then not Q (pilot)
P (color-blind)
Therefore, not Q (not a pilot)
This is again a valid argument.
(E) If P (diabetic) then not Q (large amounts of sugar)
P (diabetic)
Therefore, R (modified diet)
This is an invalid argument but it is structurally different from the stimulus.
Does this help? Let me know if you have any other questions.
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