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how do you exolain logic with converse, inverse, and contrapositive.

  • geometry -

    I think a cow is a mammal:

    If a cow then a mammal (hypothesis, assume true)

    If a mammal then a cow (converse, maybe)

    If not a cow, then not a mammal (inverse, maybe)

    If not a mammal, then not a cow (contrapositive, true)

    Draw a Venn diagram for all this
    cow inside mammal circle

    then area between circles is not a cow but could be a mammal (converse, inverse)

    then area outside cow circle still might be a mammal.

    If it is outside both circles it is the contrapositive, not a cow or any mammal.

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