Asked by kaitlin
how do you exolain logic with converse, inverse, and contrapositive.
Answers
Answered by
Damon
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.
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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