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Soru

Zorluk: OrtaStatement and Conclusions or Inferences

Read the following statements carefully:

1. All carbon-neutral manufacturing zones strictly prohibit the use of fossil-fuel generators.
2. Some heavily subsidized industrial parks are designated as carbon-neutral manufacturing zones.
3. No facility that prohibits fossil-fuel generators permits the entry of high-emission transport vehicles.

Which of the following conclusions logically follow from the given statements? (Select all that logically apply)

  1. Some heavily subsidized industrial parks do not permit the entry of high-emission transport vehicles.Cevap
  2. Facilities that permit the entry of high-emission transport vehicles are not carbon-neutral manufacturing zones.Cevap
  3. C
    All heavily subsidized industrial parks strictly prohibit the use of fossil-fuel generators.
  4. D
    The restriction on high-emission transport vehicles is the most effective policy for maintaining carbon-neutral status.

Cevap

The logically valid conclusions are that some heavily subsidized industrial parks do not permit the entry of high-emission transport vehicles, and that facilities permitting high-emission vehicles are not carbon-neutral zones.
The valid inferences rely on transitive logic and the contrapositive. First, combining all three statements proves that since some subsidized industrial parks are carbon-neutral zones, they must follow the chain of prohibiting fossil fuels and thus banning high-emission vehicles. Second, the rule that carbon-neutral zones ban high-emission vehicles inherently means that any facility allowing such vehicles cannot be a carbon-neutral zone.

Adım Adım Çözüm

1
Map the logical relationships given in the three statements.
Statement 1: Carbon-neutral zone → Prohibits fossil-fuel generators. Statement 2: Some subsidized parks → Carbon-neutral zones. Statement 3: Prohibits fossil-fuel generators → Does not permit high-emission vehicles.
Establishing clear categorical and conditional relationships is necessary to draw complex inferences.
2
Chain the relationships from Statements 1 and 3 together.
Carbon-neutral zone → Prohibits fossil-fuel generators → Does not permit high-emission vehicles. (Therefore, Carbon-neutral zone → Does not permit high-emission vehicles).
Transitive logic allows us to connect the beginning of a conditional chain directly to the end.
3
Evaluate the conclusions regarding 'some subsidized parks'.
Since 'some subsidized parks' are carbon-neutral zones, and carbon-neutral zones do not permit high-emission vehicles, it logically follows that 'some subsidized parks' do not permit high-emission vehicles.
This confirms the validity of the first correct conclusion.
4
Apply the contrapositive to the chained relationship.
If a Carbon-neutral zone → Does not permit high-emission vehicles, the contrapositive is: If a facility permits high-emission vehicles → It is not a Carbon-neutral zone.
The contrapositive of a true statement is always logically true, confirming the second correct conclusion.
5
Eliminate conclusions that rely on outside knowledge or overgeneralize.
Identify that claiming 'all' parks prohibit generators is an overgeneralization of 'some', and claiming a policy is 'effective' relies on unstated outside knowledge.
Logical conclusions must be strictly bound by the provided text parameters.

Anahtar Kavram

Applying syllogistic reasoning and contrapositive logic to evaluate multi-statement chains.
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Konular

Statement and Conclusions or Inferences

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