Some twentieth-century art is great art. All great art involves original ideas, and any art that is not influential ...
ElizabethGlassmannJune 8, 2020
Transitive Statement
Hello,
I had diagramed as follows:
20th--s--ga--->oi--->i
Am I correct that the answer C is the result of not being able to reverse i and oi?
Answer Stimulus states: Only art that involves original ideas is influential.
For this answer to be true, would it have to state, "Only art that is influential, involves original ideas".
Thank you!
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First, your diagram employing the transitive property is incorrect.
While we can conclude that 20th - some - GA --> OI, we cannot add I on to the end.
We know that "any art that is influential cannot be great art."
Not I --> Not GA GA --> I
Therefore, we can conclude:
20th - some - GA --> OI 20th - some - GA --> I
Remember that we can also reverse 'all' statements to make 'some statements.
Therefore, we can also conclude that OI - some - GA --> I.
This tells us hat some art which involves original ideas is influential. Remember that the term 'only' introduces a necessary condition. We can only diagram a quantifier statement here, not a conditional (S&N) statement. This is why answer choice (C) is not true.
Answer choice (D) is true because conditional statements which include the word AND can be split into two statements. Therefore:
GA --> I AND OI can be split into GA --> I GA --> OI
Both of these are true; therefore, answer (D) must be true.
Hope this is helpful! Please let us know if you have any further questions.
