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Conversion of Propositions: Categorical Logic

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This lecture notes discusses the topic "conversion of propositions" in Categorical Logic.

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  • July 13, 2021
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  • 2020/2021
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Conversion of Propositions: Categorical Logic


Other immediate inferences aside from the traditional square of opposition is the
conversion of propositions, which involves the following:

1) conversion,
2) obversion, and
3) contraposition.

Conversion

This type of inference is done by simply interchanging the subject and predicate terms
of the proposition with reference to the distribution of each term.

Conversion is very much valid on E and I propositions where the totality or partiality of
exclusion and inclusion of both S class and P class are identical. Its application is limited
or this type of inference is not applicable to all types of propositions. Thus, applying
conversion to the four propositions yields the following result:




Take note that the qualities of the propositions above are the same. Also, it is invalid to
apply conversion in particular negative (O) propositions because it is tantamount to
inferring that something must be true to all members of a class because it is true to
some members.

Obversion

Obversion is another immediate inference which can be correctly performed by
following the two guidelines:

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