Question

Difficulty: HardNecessary Assumption

Art Conservator: A recently unearthed landscape painting bears the signature of Clara Vane and perfectly matches her distinctive brushwork. However, chemical analysis reveals traces of cerulean blue in the sky section—a synthetic pigment not commercially available until 1860, eight years after Vane's death. Consequently, the painting cannot be an authentic work by Vane and must be a clever forgery.

Is the following statement about the argument true or false?

The conservator's argument requires the assumption that the cerulean blue pigment was not applied to an authentic Vane canvas during a subsequent restoration or modification effort.

Answer: Answer

Answer

The statement is True. The argument inherently relies on the assumption that the pigment was part of the original composition rather than a later addition.
The statement is true because it identifies a 'defender' assumption necessary for the conclusion to hold. The argument concludes the painting must be a forgery solely because it contains a pigment from 1860. By applying the Negation Test, if we assume the pigment WAS applied to an authentic Vane canvas during a later restoration, then the painting is not inherently a forgery, and the conclusion is entirely destroyed. Thus, the author must assume no such restoration occurred.

Step-by-Step Solution

1
Analyze the premises and the conclusion of the argument.
Premise 1: The painting has cerulean blue, available in 1860. Premise 2: The artist died in 1852. Conclusion: The painting must be a forgery.
Deconstructing the argument is the necessary first step to finding its logical gaps.
2
Identify the logical leap made by the author.
The author jumps from the fact that the painting 'contains a newer material' to the definitive conclusion that 'the entire object was created at a later date'.
Understanding the logical gap points directly to what the author must be assuming to bridge it.
3
Apply the Negation Test to the provided statement.
Negated statement: The cerulean blue WAS applied to an authentic Vane canvas during a subsequent restoration or modification effort.
The Negation Test is the most reliable analytical tool to prove if an assumption is strictly necessary.
4
Evaluate the effect of the negated statement on the argument's conclusion.
If the newer pigment was simply added later to an otherwise authentic painting, the conclusion that the entire artwork 'must be a clever forgery' is completely destroyed.
Because the negated statement invalidates the conclusion, the original statement is proven to be a logically necessary assumption.

Key Concept

Applying the Negation Test to identify 'Defender' assumptions that rule out alternate explanations.
Rate this question