Question

Difficulty: HardNecessary Assumption

Music historian: A newly discovered manuscript of symphonies attributed to the 18th-century composer Antonietta contains complex harmonic progressions previously thought to have been invented decades later. Chemical analysis definitively dates both the paper and the ink to the 1720s, during Antonietta's active years. Therefore, Antonietta pioneered these advanced harmonic progressions.

The argument above depends on the assumption that Antonietta did not simply transcribe the innovative compositions of an uncredited contemporary.

Answer: Answer

Answer

True. The statement identifies a necessary assumption required to logically link the physical existence of the manuscript to the claim that Antonietta originated the musical ideas.
The statement accurately identifies a necessary assumption. The argument jumps from the existence of a 1720s manuscript bearing Antonietta's name to the conclusion that she conceptually originated the music. For this conclusion to survive, one must assume she was the true creator. Using the Negation Test, if she were merely transcribing another composer's original work, she could not be considered the pioneer, and the argument collapses entirely. Thus, the assumption is necessary.

Step-by-Step Solution

1
Identify the argument's premises and main conclusion.
Premise: A 1720s manuscript attributed to Antonietta contains advanced harmonies. Conclusion: Antonietta pioneered these harmonies.
Separating the factual evidence from the author's claim is the required first step to spot logical leaps.
2
Analyze the conceptual gap between the evidence and the conclusion.
The premises prove the manuscript is physically from the 1720s and has her name on it, but the conclusion claims she is the intellectual creator (pioneer) of the music.
Physical authorship of a document does not inherently guarantee originality of the concepts within it.
3
Apply the Negation Test to the proposed statement.
Negated statement: Antonietta DID simply transcribe the innovative compositions of an uncredited contemporary.
The Negation Test is the definitive logical method for verifying if an assumption is strictly necessary.
4
Evaluate the effect of the negated statement on the main conclusion.
If she merely copied another composer's work, the other composer was the pioneer. The conclusion is destroyed, proving the original statement is a necessary assumption.
An assumption is logically necessary if and only if its negation invalidates the argument.

Key Concept

Necessary Assumption (Defender) and the Negation Test
Estimated Time:1m 30s
Rate this question