Sufficient AssumptionDiff: Hardest
Logic Breakdown
Passage Summary: Since we can't use our eyes or senses to prove math is true, we can't actually know if any of it is true.
Conclusion: It is impossible to have knowledge of any mathematical proposition.
Reasoning: No mathematical proposition can be proven to be true through the use of observation.
Analysis: The argument suffers from a significant gap between the method of proof and the possibility of knowledge. It assumes that observation is the only valid pathway to knowing a mathematical truth. To bridge this gap for a Sufficient Assumption question, look for an answer that establishes a conditional rule: if something cannot be proven by observation, it cannot be known. This would effectively lock the premise to the conclusion by making observation a mandatory requirement for knowledge.
Conclusion: It is impossible to have knowledge of any mathematical proposition.
Reasoning: No mathematical proposition can be proven to be true through the use of observation.
Analysis: The argument suffers from a significant gap between the method of proof and the possibility of knowledge. It assumes that observation is the only valid pathway to knowing a mathematical truth. To bridge this gap for a Sufficient Assumption question, look for an answer that establishes a conditional rule: if something cannot be proven by observation, it cannot be known. This would effectively lock the premise to the conclusion by making observation a mandatory requirement for knowledge.
Passage Stimulus
Passage Redacted
Unlock Full Passage24.The conclusion follows logically if which one of the following is assumed?
Correct Answer
E
If knowing a proposition to be true requires proving it by observation (Know -> Observational proof), and no math proposition can be proven by observation, then by contrapositive, no math proposition can be known to be true. This secures the inference.
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