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# why inverse of a conditional statement seems to be TRUE?

Posted on 2012-09-21

Consider following conditional statment:

If two points are distinct, then there is exactly one line that passes through them.

Inverse is as follows:

If two points are not distinct, then it is not true that there is exactly one line that passes through them.

According to high school geometry book, inverse is always FALSE but in above example inverse seems to be TRUE. If both points are same, then, more than one line can pass through them.