query: Counter-example of an affirmation
positive_passages.docid: 147659
positive_passages.text: Counterexample to "if $f:A\to A$ induces the identity $\hat f:\operatorname{Spec}(A)\to\operatorname{Spec}(A)$, then $f=\operatorname{id}_A$"
negative_passages.docid: 129185
negative_passages.text: Understanding the truth value for ⇏ when antecedent is false and consequent is true.
negative_passages.docid: 12186
negative_passages.text: How does predicate logic handle contradictory statements about something that does not exist?
negative_passages.docid: 39367
negative_passages.text: Confirm and agree to negative questions
negative_passages.docid: 68265
negative_passages.text: Why is it sensical for a proposition with a false antecedent to validate to true?
negative_passages.docid: 38031
negative_passages.text: What is a simple example of an unprovable statement?
negative_passages.docid: 2077
negative_passages.text: Denoting the end of example/remark
negative_passages.docid: 105233
negative_passages.text: Is there a counterexample for the claim: if $A \oplus B\cong A\oplus C$ then $B\cong C$?
negative_passages.docid: 41318
negative_passages.text: Can every proof by contradiction also be shown without contradiction?
negative_passages.docid: 54295
negative_passages.text: A word to describe the act to switch between positive and negative?
negative_passages.docid: 35577
negative_passages.text: relations - examples and counterexamples
negative_passages.docid: 134120
negative_passages.text: Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
negative_passages.docid: 52322
negative_passages.text: Implication in mathematics - How can A imply B when A is False?
negative_passages.docid: 77297
negative_passages.text: Counterexample for $A,B\triangleleft G,G/A\cong B \Rightarrow G/B\cong A$
negative_passages.docid: 136577
negative_passages.text: In formal logic, how is it possible for an argument with a contradictory conclusion to be valid?
negative_passages.docid: 14580
negative_passages.text: Is there a word for using a word twice to imply something different?
negative_passages.docid: 16223
negative_passages.text: can "not" substitute a negative independent clause