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Zorluk: KolayChaining Conditional Statements

If a building is designated as a historical landmark, it cannot be demolished. Furthermore, any building that cannot be demolished is exempt from property taxes.

Which one of the following statements must be true based on the information provided?

  1. If a building is designated as a historical landmark, it is exempt from property taxes.Cevap
  2. B
    If a building is exempt from property taxes, it must be designated as a historical landmark.
  3. C
    If a building is not designated as a historical landmark, it can be demolished.
  4. D
    Most buildings that cannot be demolished are historical landmarks.
  5. E
    The government prevents historical landmarks from being demolished in order to maintain property tax exemptions.

Cevap

If a building is designated as a historical landmark, it is exempt from property taxes.
The correct answer accurately reflects the transitive property of conditional logic. The stimulus gives us A -> B (Historical Landmark -> Cannot be Demolished) and B -> C (Cannot be Demolished -> Exempt from Taxes). By linking these together, we logically deduce A -> C: if a building is a historical landmark, it is exempt from property taxes.

Adım Adım Çözüm

1
Identify and diagram the first conditional premise.
Historical Landmark -> Cannot be Demolished
The text states that being a historical landmark is a sufficient condition for a building being protected from demolition.
2
Identify and diagram the second conditional premise.
Cannot be Demolished -> Exempt from Property Taxes
The text states that not being able to be demolished is a sufficient condition for being tax-exempt.
3
Link the two conditional premises to form a transitive chain.
Historical Landmark -> Cannot be Demolished -> Exempt from Property Taxes
The necessary condition of the first premise matches the sufficient condition of the second premise, allowing them to be chained together.
4
Derive the valid inference from the chain.
Historical Landmark -> Exempt from Property Taxes
By following the chain from the initial sufficient condition to the final necessary condition, we logically conclude that historical landmarks are exempt from property taxes.

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Chaining Conditional Statements
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Chaining Conditional Statements

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