Posted by **kaitlin** on Sunday, January 23, 2011 at 5:52pm.

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

- geometry -
**Damon**, Sunday, January 23, 2011 at 6:04pm
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.

## Answer This Question

## Related Questions

- Geometry - In logic, which of the following is said to be logically equivalent ...
- Discrete Mathematics - Write the inverse, converse, and contrapositive of the ...
- Geometry - Assume the following is a true statement. If it is raining, I will ...
- Geometry - A conditional statement is always logically equivalent to its a.) ...
- geometry - Let "p = I did my homework" and "q = i passed the exam". Write the ...
- geometry - Write the converse, inverse, and contrapositive of the conditional ...
- Geometry - Given two statements: r -> s and ~s -> ~r, in which way is the ...
- Math - Let p -> q represent the conditional statement All hummingbirds love ...
- Geometry - The inverse of conditional A is given below. Write conditional A, its...
- Geometry - Original Statement "If it's a garage sale, then it's a Sunday." ...

More Related Questions