29. If there are any inspired musical performances in the concert, the audience will be treated to a good show. But there will not be a good show unless there are sophisticated listeners in the audience, and to be a sophisticated listener one must understand one's musical roots. If all of the statements above are true, which one of the following must also be true?
a) If there are no sophisticated listeners in the audience, then there will be no inspired musical performances in the concert.
b) No people who understand their musical roots will be in the audience if the audience will not be treated to a good show.
c) If there will be people in the audience who understand their musical roots, then at least one musical performance in the concert will be inspired.
d) The audience will be treated to a good show unless there are people in the audience who do not understand their musical roots.
e) If there are sophisticated listeners in the audience, then there will be inspired musical
performances in the concert.
A
The correct conditional statements for the passage above are:
(where I = Inspired Musical Performance, GS = Good Show, S = Sophisticated Listener, R = Understanding one's musical roots)
1. I -> GS
2. GS -> S
3. S -> R
The question I have is around the interpretation of causal relationships from the given statements, particularly with the 1st case.
The first sentence would imply that if there is an inspired musical performance, then the audience would be treated to a good show ( I -> GS).
However, could this not be interpreted as a Good Show containing an inspired musical performance ( GS -> I)? In other words, the precondition of an Inspired Musical Performance must be true for a Good Show to occur.
I have known A -> B, to be defined as "if A is true then B must be true". Then in this case, could we not say that if there is a Good Show, then it must be true that an Inspired Musical Performance must have taken place? Am I missing something here?
The latter logic seems to apply to the other two sentences:
2. GS -> S - A good show must mean that sophisticated listeners exist in the audience.
3. S -> R - A sophisticated listener must understand one's musical roots.
Why then can't we say that a Good Show, must mean that there was an inspired performance? This would yield GS -> I, similar to 2 and 3.
a) If there are no sophisticated listeners in the audience, then there will be no inspired musical performances in the concert.
b) No people who understand their musical roots will be in the audience if the audience will not be treated to a good show.
c) If there will be people in the audience who understand their musical roots, then at least one musical performance in the concert will be inspired.
d) The audience will be treated to a good show unless there are people in the audience who do not understand their musical roots.
e) If there are sophisticated listeners in the audience, then there will be inspired musical
performances in the concert.
A
The correct conditional statements for the passage above are:
(where I = Inspired Musical Performance, GS = Good Show, S = Sophisticated Listener, R = Understanding one's musical roots)
1. I -> GS
2. GS -> S
3. S -> R
The question I have is around the interpretation of causal relationships from the given statements, particularly with the 1st case.
The first sentence would imply that if there is an inspired musical performance, then the audience would be treated to a good show ( I -> GS).
However, could this not be interpreted as a Good Show containing an inspired musical performance ( GS -> I)? In other words, the precondition of an Inspired Musical Performance must be true for a Good Show to occur.
I have known A -> B, to be defined as "if A is true then B must be true". Then in this case, could we not say that if there is a Good Show, then it must be true that an Inspired Musical Performance must have taken place? Am I missing something here?
The latter logic seems to apply to the other two sentences:
2. GS -> S - A good show must mean that sophisticated listeners exist in the audience.
3. S -> R - A sophisticated listener must understand one's musical roots.
Why then can't we say that a Good Show, must mean that there was an inspired performance? This would yield GS -> I, similar to 2 and 3.
Last edited by mba_aspirant911 on Wed Oct 27, 2010 1:22 am, edited 1 time in total.
