Question

when using a counterexample to prove a conditional statement false, which must be true about the counterexample?

Answer 1

The science of correct reasoningLogicThe drawing of inferences or conclusions from known or assumed factsReasoningUses observations and patterns to arrive at a conclusion (conjecture)Inductive reasoningUses facts, rules, definitions, or properties to arrive at a conclusionDeductive reasoningA statement that can be written in if-then formConditional statementConditional statement symbol-->The opposite meaning of the original statementNegationsA statement, example, figure, etc... that proves that a statement is falseCounterexamplesIf you live in florida, then you live in miamiFalse; counterexampleWith counterexamples you should not correct the statement and give an example of why the statement is falseTrueAll true statement do have counterexamplesFalse they do notConditional symbolp-->qSwitch the hypothesis and conclusionConverseConditional and the converseBiconditional statementsJoins the conditional and converse into one statementBionditional statements