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Traditional Logic II, Chapter 6, Exercise 14, sixth syllogism

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    Traditional Logic II, Chapter 6, Exercise 14, sixth syllogism

    According to the book, it is always best to put the statements in proper logical form when one is working with a syllogism. However, in the answer key, the answer for the sixth syllogism shows 'Nothing that is not banned by the Constitution should be outlawed' when I think it should read 'All things that are banned by the Constitution should be outlawed' after applying the Rule of Double Negation. The same is for the minor premise. 'The Constitution does not prohibit school prayer' should be 'No school prayer is prohibited by the Constitution.'
    What would really help would be a step by step explained solution of the sixth syllogism of exerecise 14.
    Thank you.
    Waseem

    #2
    Waseem,

    'Nothing that is not banned by the Constitution should be outlawed' would not convert to 'All things that are banned by the Constitution should be outlawed', but rather to 'All things that are NOT banned by the Constitution should not be outlawed.' It is not the subject you negate in converting an E statement to an A statement, but the predicate. That would changed the major term in the major premise however, giving you four terms.

    The restatement of the minor premise would do though.

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