Role in ArgumentDiff: Easy
Logic Breakdown
Passage Summary: Joseph believes a famous mathematician was likely lying about a discovery because no one else has been able to replicate the proof in hundreds of years.
Conclusion: It is probable that Fermat was lying or mistaken when he claimed to have proved his theorem.
Reasoning: Because no one else has been able to prove the theorem since 1665, it is likely that the theorem is actually unprovable.
Analysis: The statement in question serves as an intermediate conclusion within Joseph's argument. It is supported by the premise that no one else has been able to prove the theorem, and it in turn provides the logical basis for the final conclusion that Fermat was lying. When analyzing the role of a statement, look for this 'bridge' functionality where a claim acts as both a conclusion and a premise. You can identify it by seeing how it flows from the evidence about the lack of proof toward the accusation of Fermat's dishonesty.
Conclusion: It is probable that Fermat was lying or mistaken when he claimed to have proved his theorem.
Reasoning: Because no one else has been able to prove the theorem since 1665, it is likely that the theorem is actually unprovable.
Analysis: The statement in question serves as an intermediate conclusion within Joseph's argument. It is supported by the premise that no one else has been able to prove the theorem, and it in turn provides the logical basis for the final conclusion that Fermat was lying. When analyzing the role of a statement, look for this 'bridge' functionality where a claim acts as both a conclusion and a premise. You can identify it by seeing how it flows from the evidence about the lack of proof toward the accusation of Fermat's dishonesty.
Passage Stimulus
Passage Redacted
Unlock Full Passage13.Joseph's statement that "this alleged theorem simply cannot be proved" plays which one of the following roles in his argument?
Correct Answer
B
B is correct because Joseph first infers that the theorem cannot be proved from the fact that no one else has proved it, and then uses that intermediate inference to conclude that Fermat was lying or mistaken.
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