If a question on a test asks for the logical equivalent of the phrase 'It is not true that Pedro is a dentist or Paulo is an engineer', what is the...
If a question on a test asks for the logical equivalent of the phrase 'It is not true that Pedro is a dentist or Paulo is an engineer', what is the correct answer?
To negate a disjunctive proposition (p or q), we negate the first part (~p), negate the second part (~q), and replace OR with AND. The logical equivalent of 'It is not true that Pedro is a dentist or Paulo is an engineer' is 'Pedro is not a dentist and Paulo is not an engineer'. The first statement is true and the second statement is false. The first statement is false and the second statement is true. Both statements are true. Both statements are false.
A resposta correta é: "O equivalente lógico de 'Não é verdade que Pedro é dentista ou Paulo é engenheiro' é 'Pedro não é dentista e Paulo não é engenheiro'. A primeira afirmação é verdadeira e a segunda afirmação é falsa".
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