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How to write postulate in if-then form?
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.
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.
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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.
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.
as has been said, yes
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but what is the conditional statement that you are saying is false?