Question

Difficulty: MediumMust Be True / Most Strongly Supported

Art conservators examining fifteenth-century panel paintings established the following facts:

• Every panel painting executed with egg tempera contains proteinaceous binding media.
• Any panel painting containing proteinaceous binding media that has been subjected to prolonged humidity exhibits micro-cracking across its varnish layer.
• No panel painting in the Sforza collection that exhibits micro-cracking across its varnish layer was executed with oil-based glazes.

Statement: If a panel painting in the Sforza collection was executed with egg tempera and has been subjected to prolonged humidity, it was not executed with oil-based glazes.

Answer: Answer

Answer

True. The conditional premises form an unbroken deductive chain guaranteeing that any painting meeting the stated antecedent conditions cannot have been executed with oil-based glazes.
Evaluating the statement as True is correct because a direct conditional chain leads from the sufficient conditions (Sforza collection, egg tempera, prolonged humidity) through the intermediate physical markers (proteinaceous binder, micro-cracking) to the necessary exclusion of oil-based glazes.

Step-by-Step Solution

1
Formalize the first premise linking painting medium to chemical binder
Egg tempera →\rightarrow Proteinaceous binding media.
Establishes the necessary condition for egg-tempera execution.
2
Integrate the environmental condition from the second premise
Proteinaceous binding media + Prolonged humidity →\rightarrow Micro-cracking in varnish.
Combines the binder property with humidity to deduce the physical symptom (micro-cracking).
3
Chain the intermediate conclusion with the restriction on the specific collection
Sforza collection + Micro-cracking →\rightarrow NOT Oil-based glazes.
Applies the universal negative premise governing Sforza collection panels.
4
Synthesize the entire deductive chain
Sforza collection + Egg tempera + Prolonged humidity →\rightarrow NOT Oil-based glazes.
Since all conditions in the antecedent of the statement are satisfied, the consequent necessarily follows.

Key Concept

Multi-premise conditional chaining in formal deductive inference
Estimated Time:1m 15s
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