Select the correct answerStatements:Some lecturers are teachers.Some teachers are professors.Conclusions:I. Some lecturers are professors.II. No lecturer is a professor.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Question
Select the correct answerStatements:Some lecturers are teachers.Some teachers are professors.Conclusions:I. Some lecturers are professors.II. No lecturer is a professor.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Solution
The correct answer is "If neither conclusion I nor conclusion II follows".
Here's the step by step reasoning:
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The first statement says "Some lecturers are teachers." This means there is an overlap between the group of lecturers and the group of teachers.
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The second statement says "Some teachers are professors." This means there is an overlap between the group of teachers and the group of professors.
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However, there is no statement that directly connects lecturers and professors. We cannot assume that because some lecturers are teachers and some teachers are professors, that some lecturers must be professors. This is a common logical fallacy.
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Therefore, we cannot conclude that "Some lecturers are professors" (conclusion I) or that "No lecturer is a professor" (conclusion II). There is simply not enough information given in the statements to make either conclusion.
So, the correct answer is "If neither conclusion I nor conclusion II follows".
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