• Example (Gensler, 2017):IF Jane slept in, she will be late to class;Jane isn’t late to class.THEREFORE: Jane didn’t oversleep.• This is a valid inference. A valid inference is one in which the conclusion(s) follows directly from thepremises.• What does ‘follow directly’ mean? It means that it is impossible (contradictory) for the premises to be alltrue but the conclusion false.• Logic is designed to help us distinguish between ‘valid’ and ‘invalid’ arguments: i.e. ways of reasoning fromwhich reliable inferences can be drawn vs. faulty lines of argument that eventually prove nothing.• It provides a range of precise rules and techniques for making such valid inferences, and for warning usabout pitfalls along the way
Question
• Example (Gensler, 2017):IF Jane slept in, she will be late to class;Jane isn’t late to class.THEREFORE: Jane didn’t oversleep.• This is a valid inference. A valid inference is one in which the conclusion(s) follows directly from thepremises.• What does ‘follow directly’ mean? It means that it is impossible (contradictory) for the premises to be alltrue but the conclusion false.• Logic is designed to help us distinguish between ‘valid’ and ‘invalid’ arguments: i.e. ways of reasoning fromwhich reliable inferences can be drawn vs. faulty lines of argument that eventually prove nothing.• It provides a range of precise rules and techniques for making such valid inferences, and for warning usabout pitfalls along the way
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