query: Can we deduce two contradictory statements from a wrong statement?
positive_passages.docid: 43700
positive_passages.text: Are proofs by contradiction really logical?
negative_passages.docid: 103793
negative_passages.text: Conflicting Normality Tests
negative_passages.docid: 93724
negative_passages.text: How to substantiate the claim that something is not known?
negative_passages.docid: 151073
negative_passages.text: What to do with a question that was based on a wrong assumptions?
negative_passages.docid: 105303
negative_passages.text: 'Obvious' theorems that are actually false
negative_passages.docid: 93327
negative_passages.text: Negation of if and only if?
negative_passages.docid: 130028
negative_passages.text: Why is a statement "vacuously true" if the hypothesis is false, or not satisfied?
negative_passages.docid: 8100
negative_passages.text: How to answer a negative question without ambiguity?
negative_passages.docid: 112539
negative_passages.text: Can I disprove a claim using the contrapositive?
negative_passages.docid: 88188
negative_passages.text: Explain proof by contradiction.
negative_passages.docid: 63952
negative_passages.text: Disproving: If $(\Gamma\vdash(\phi\,\lor\psi))$, either $(\Gamma\vdash\phi)$ or $(\Gamma\vdash\psi)$ is true
negative_passages.docid: 29722
negative_passages.text: Which answer do I accept if I have multiple correct answers?
negative_passages.docid: 20658
negative_passages.text: Difficulty in finding a counterexample
negative_passages.docid: 48396
negative_passages.text: 'I wish' and counterfactual
negative_passages.docid: 123040
negative_passages.text: Mistaking versus mistaken
negative_passages.docid: 87439
negative_passages.text: Need word for situation where conclusion doesn't follow from the experimental data
negative_passages.docid: 103154
negative_passages.text: Is there a *simple* example of how the axiom of choice can lead to a counterintuitive result?