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Logic: Partial Conversion of an A statement

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    Logic: Partial Conversion of an A statement

    HI friends,

    We have a question about the partial conversion of an A statement.

    All pigs are smelly partially converts to Some smelly things are pigs.

    We can see that if the A statement is true, this partially converted I statement is true. But would you really call that 'Logically equivalent'? In the A statement we are talking about All pigs, but in the I statement we really aren't talking about All pigs. Seems like the I statement doesn't really say that All pigs are smelly but could in fact still allow for some pigs existing that are not smelly.

    Thoughts?

    Thanks!
    Kristi
    Kristi
    DS 13 (8th grade)

    #2
    I'm pretty sure that logically equivalent doesn't equal same meaning. Those better versed than I would have to explain why that's the case. pickandgrin ?
    Jennifer
    Blog: [url]www.seekingdelectare.com[/url]

    2021-2022
    DS18: Almost done!
    DS17: MP, MPOA
    DS15: MP, MPOA
    DS12: Mix of SC 5/6 & SC 7/8
    DD11: Mix of 5M and SC7/8
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    Comment


      #3
      Ah! I wish I could answer this for you, OP, and jen1134 , but this is not my wheelhouse (yet--one day!).
      Festina lentē,
      Jessica P

      2021-2022 • 12th year HSing • 10th year MP
      12th • AP Latin online, DE Calculus & Physics, HLN
      10th • HLN, Latin online, MPOA
      7th • HLN & Home
      4th • HLN & Home
      Me: Third Form Summer Intensive MPOA

      Highlands Latin Nashville Cottage School

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        #4
        Thanks gals! I bet you are right, Jennifer, that 'Logically Equivalent' has a very specific definition.
        Kristi
        DS 13 (8th grade)

        Comment


          #5
          Kristi,

          Is there something in the text of the book that indicates that the A and I statements are logically equivalent?

          Comment


            #6
            Although the relation of A and I statements are discussed in the chapter on equivalent relations, their relation, unlike the others, is not one of equivalence, since you can go from the truth of the A statements to the I statement, but not vice-versa. That is why the procedure of conversion with A and I statements (which is a Subaltern relation) is called "PARTIAL conversion."

            Comment


              #7
              Thanks Martin!
              Kristi
              DS 13 (8th grade)

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