Question

Difficulty: MediumSufficient Assumption

Archivist: Any parchment document treated with nano-cellulose spray creates an airtight molecular barrier. Furthermore, any document that possesses an airtight molecular barrier resists microbial ink erosion. Since the fourteenth-century guild charter was treated with nano-cellulose spray, it is certain to be approved for permanent display in the main rotunda.

The archivist's conclusion follows logically if which one of the following is assumed?

  1. A
    Any document that is approved for permanent display in the main rotunda possesses an airtight molecular barrier.
  2. B
    A document cannot be approved for permanent display in the main rotunda unless it was treated with nano-cellulose spray.
  3. Every parchment document that resists microbial ink erosion is approved for permanent display in the main rotunda.Answer
  4. D
    Any document treated with nano-cellulose spray resists microbial ink erosion.
  5. E
    No document that fails to resist microbial ink erosion has been treated with nano-cellulose spray.

Answer

Every parchment document that resists microbial ink erosion is approved for permanent display in the main rotunda.
The argument establishes that the charter was treated with nano-cellulose spray, which guarantees an airtight molecular barrier, which in turn guarantees that it resists microbial ink erosion. The conclusion asserts that the charter will be approved for permanent display. The statement establishing that every parchment document that resists microbial ink erosion is approved for permanent display creates a complete, unbroken deductive chain: Charter → Nano-cellulose → Airtight Barrier → Resists Erosion → Approved for Display.

Step-by-Step Solution

1
Analyze the premises and symbolize the conditional chain
Treated with nano-cellulose spray leads to an airtight molecular barrier, which in turn leads to resisting microbial ink erosion. The fourteenth-century guild charter received this spray, deductively establishing that the charter resists microbial ink erosion.
Identify the full extent of what the given premises formally prove before addressing the conclusion.
2
Isolate the conclusion and identify the deductive gap
Conclusion: The charter is certain to be approved for permanent display in the main rotunda. Deductive Gap: Resisting microbial ink erosion must guarantee approval for permanent display.
A sufficient assumption must provide a 100% deductive bridge from the established intermediate fact to the final conclusion.
3
Select the conditional statement that bridges the gap
The statement specifying that every parchment document that resists microbial ink erosion is approved for permanent display completes the syllogism.
Premise chain + [Resists microbial erosion → Approved for display] → Charter is approved for display.

Key Concept

Deductive bridge assumption in a multi-step conditional chain
Estimated Time:1m 15s
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