How to write postulate in if-then form?

Posted on 2012-09-21
Last Modified: 2012-09-21
Please consider following postulate:

A line contains at least two points.

My attempt of the if-then form is as follows:

If it's a line, then it contains at least two points.

Am I correct?  If yes, then is it also correct that this conditional statement is FALSE?

This is high school geometry problem.
Question by:naseeam
    LVL 26

    Accepted Solution

    >> If it's a line, then it contains at least two points.

    That is a proper conditional statement.  It is also true.
    But it is not particularly descriptive.

    virtually all geometric elements (lines, segments, rays, circles, triangles, planes, spheres,.....)
    contain two or more points.

    The only entities that don't are points.
    LVL 26

    Expert Comment

    "Am I correct?  If yes, then is it also correct that this conditional statement is FALSE?"
    as has been said, yes
    but what is the conditional statement that you are saying is false?
    LVL 14

    Expert Comment

    Is this homework, or are you cheating on a test :-)  Let's assume you are gaining better understanding of rewriting postulates in the if-then form.

    So your postulate is a correctly stated postulate (Postulate 1 if you are into numbers)

    Your if-then conclusion is logically correct and supported by the postulate.

    You have not created a conditional statement that has the possibility of being FALSE given Postulate 1.  But perhaps you are wanting to understand the Inverse statement, which would be

    If it is not a line, then it does not contain at least two points.

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