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Soru

Zorluk: OrtaStatement and Conclusions or Inferences

Evaluate the validity of the logical deductions drawn from the provided assertions.

Provided Assertions:
• All subsidized housing projects constructed after 2024 must feature integrated solar power systems.
• Some private residential complexes constructed after 2024 feature integrated solar power systems.
• No building featuring an integrated solar power system relies entirely on the standard municipal grid.

Drawn Conclusions:
I. Some private residential complexes constructed after 2024 do not rely entirely on the standard municipal grid.
II. The standard municipal grid lacks the capacity to independently support subsidized housing projects.

Based on the information above, which of the following is correct?

  1. Only conclusion I followsCevap
  2. B
    Only conclusion II follows
  3. C
    Both conclusion I and conclusion II follow
  4. D
    Neither conclusion I nor conclusion II follows

Cevap

Only conclusion I follows
The correct answer accurately validates the first conclusion while rejecting the second. Conclusion I is a direct syllogistic deduction from the second and third assertions: since some private complexes have solar systems, and no building with solar systems relies entirely on the municipal grid, those specific private complexes do not rely entirely on the grid. Conclusion II is invalid because the text contains no information regarding the actual capacity of the municipal grid; assuming the grid lacks capacity constitutes the introduction of external real-world assumptions, which is not permitted in strict logical deduction.

Adım Adım Çözüm

1
Analyze Conclusion I against the provided assertions to check for direct logical validity.
Assertion two states that 'some private complexes have solar systems', and assertion three states that 'no building with solar systems relies entirely on the grid'.
Establishing the premises for a direct syllogistic deduction.
2
Combine the premises from step 1 to evaluate Conclusion I.
Since the specific private complexes with solar systems fall under the rule in assertion three, it must be true that those specific complexes do not rely entirely on the grid. Therefore, Conclusion I logically follows.
Applying standard categorical logic (Some A are B; All B are C; therefore, Some A are C).
3
Analyze Conclusion II against the provided assertions.
The assertions mandate solar power for subsidized housing and describe grid reliance, but they do not state the reason behind the mandate or mention the grid's actual capacity.
Checking if the conclusion can be directly derived without external context.
4
Determine the validity of Conclusion II.
Conclusion II introduces external reasoning about 'grid capacity'. This is an assumption, not a logical deduction from the provided text. Therefore, Conclusion II does not follow.
Conclusions must be drawn strictly from the provided information, ignoring external knowledge.

Anahtar Kavram

Statement and Conclusions or Inferences
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Konular

Statement and Conclusions or Inferences

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