CPSC 121 Lecture 9: PHIL220 Lecture #9 Defining logical x with inconsistent sets
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*there is a scenario in which all sentences are true. In other words, it is possibly true ex. *there is no scenario in which all of the sentences are true. In other words, it is not possibly true. A is tf false iff {a} is tf inconsistent ex. There are scenarios in which the sentences of this set are true hence, not inconsistent set ex. There are no scenarios in which the sentences of this set are true hence, inconsistent set - logically false. A is tf true iff {~a} is tf inconsistent ex. There are no scenarios in which the sentences of av~a"s negation are true hence, inconsistent set - making a v ~a logically true ex. There are scenarios in which all sentences of a&b"s (negation) are true, consistent, therefore. An argument is tf valid iff the set comprising the premises and the negation of the conclusion is tf inconsistent ex.