Hi Gilmore,Great question, because this is the single most common slip with the negation test. Your second version is the correct one, and here's the rule that tells you why.
Negation means the minimal denial - "not necessarily true" - not the extreme opposite.When you negate a statement, you are only saying "this isn't guaranteed." You are
not flipping it to its strongest opposite. That's the trap in your first version.
Look at what option (C) actually claims:
"
any event that takes place over a long period of time has
many different kinds of causes."
This is a universal claim:
all long events → many kinds of causes. The logical negation of "
all X have Y" is always "
at least one X does
not have Y." So the correct negation is:
- "
Some events over a long period do
not have many different kinds of causes."
Your first version - "has a
single cause" - overshoots. "Not many different kinds" could mean one cause, or two, or a few. Jumping straight to "a single cause" adds information the negation never requires. That's turning a
contradictory into an
extreme contrary.
Now the payoff - why this proves (C) is wrong here. The whole point of the negation test is: negate the choice, and if the argument collapses, it was a required assumption. Negate (C) correctly - "some long events don't have many kinds of causes" - and Trent's argument is completely unharmed. He never relied on (C) at all. Contrast (E): negate it to "more than one large asteroid struck," and Trent's reasoning falls apart instantly. That's the fingerprint of the real assumption.
Lock in the habit with a quick word-play drill:- "All students passed." - negation?
At least one student did not pass. (Not "all students failed.")
- "Every meal was expensive." - negation?
At least one meal was not expensive. (Not "every meal was cheap.")
Same move every time: for "all/any," the negation is just "some are not" - never the mirror-image extreme.
Answer: EGilmore
Hello Team,
I am struggling to understand how to use the negation test for assumption Qs. Could someone please advise on how to approach which part of the statement to negate? Like, here in option (C) any event that takes place over a long period of time has many different kinds of causes. Should the negation be - any event that takes place over a long period of time has a single cause or Some events that take place over a long period of time do not have different kind of causes?