Philosopher: An action is morally right if it would be reasonably expected to increase the aggregate well-being of the people affected by it. An action is morally wrong if and only if it would be reasonably expected to reduce the aggregate well-being of the people affected by it. Thus, actions that would be reasonably expected to leave unchanged the aggregate well-being of the people affected by them are also right.
The philosopher's conclusion follows logically if which one of the following is assumed?
Only wrong actions would be reasonably expected to reduce the aggregate well-being of the people affected by them.
This restates something we already know from Principle 2. The word "only" introduces a necessary condition, so (A) is saying: expected to reduce well-being → wrong action. That's just one direction of the biconditional we were already given. Adding information we already have to the argument can't make it valid. We need a connection between "not morally wrong" and "morally right," and (A) doesn't provide that.
No action is both right and wrong.
This says the categories "right" and "wrong" don't overlap. But the problem isn't overlap. The problem is that there might be actions falling into neither category. Knowing that right and wrong are mutually exclusive doesn't eliminate the possibility of that an action is neither right nor wrong.
To see why, consider: "no cats are dogs" doesn't prove your neighbor's pet is a cat. It could be a hamster. Similarly, knowing an action can't be both right and wrong doesn't prove that a "not wrong" action must be right. It could be morally neutral, which is exactly the gap this argument needs to close.
If you diagram (B), it says: right → not wrong (and wrong → not right). But we need: not wrong → right. Those aren't the same relationship. (B) tells us what follows from being right, but we need to establish what follows from not being wrong.
Any action that is not morally wrong is morally right.
This is exactly the bridge we identified. It says not morally wrong → morally right. Combined with what the premises already establish (unchanged well-being → not expected to reduce well-being → not morally wrong), we get the full chain: unchanged well-being → not morally wrong → morally right. That's the conclusion, and now it's guaranteed.
There are actions that would be reasonably expected to leave unchanged the aggregate well-being of the people affected by them.
This asserts that actions with neutral effects on well-being exist. But the conclusion isn't trying to prove these actions exist. It's trying to prove that if they exist, they're morally right.
Only right actions have good consequences.
This introduces "good consequences," a concept that doesn't appear anywhere in the premises. The word "only" makes this: good consequences → right action. But to use it, we'd need to know that unchanged well-being counts as a "good consequence," and nothing in the argument establishes that. Without that connection, (E) just sits there, unable to link up with any part of the existing chain.