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Zorluk: KolayUnderlying Assumptions

Read the following argument:

'To combat rising maintenance costs, the university will replace all the grass in the central quad with synthetic turf. Because synthetic turf requires no watering or mowing, the university's maintenance costs for the central quad will be lower next year than they were this year.'

Statement: The argument above relies on the underlying assumption that the cost of purchasing and installing the synthetic turf will not exceed the financial savings gained from eliminating watering and mowing during the upcoming year.

Cevap: Cevap

Cevap

True
The statement accurately identifies a necessary underlying assumption. The argument leaps from 'saving money on water and mowing' to 'overall costs will be lower.' This logical leap assumes there are no overriding new costs (like installation) that would cancel out the savings. Negating this assumption completely undermines the conclusion.

Adım Adım Çözüm

1
Identify the conclusion of the argument.
The university's maintenance costs for the central quad will be lower next year.
This is the main claim the author is trying to prove.
2
Identify the stated premise supporting the conclusion.
Synthetic turf requires no watering or mowing.
This is the evidence provided to justify the expected cost reduction.
3
Apply the Negation Test to the proposed assumption.
If we assume the opposite—that the installation cost DOES exceed the savings from watering and mowing—the maintenance costs would be higher next year, not lower.
The Negation Test determines if an unstated assumption is strictly necessary for the argument.
4
Evaluate the impact of the negation on the argument.
The negation destroys the conclusion, meaning the assumption is absolutely required for the argument to be valid.
A necessary assumption must be true for the conclusion to logically follow.

Anahtar Kavram

Necessary assumptions are unstated premises that must be true for an argument's conclusion to follow logically. They can be tested by negating the statement to see if the argument falls apart.
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