Ask HN:Transitivity property of real numbers

Well, it's very simple. The "if" is the key to it. IF 1 were greater than 2 AND 2 were greater then 3, THEN 1 would be greater than three. Since neither 1>2 nor 2>3 is true, 1>3 is not required to be true by the transitivity property. If I am taller than you and you are taller than your mother, then I am taller than your mother. If either of the assumptions is broken, the conclusion does not hold.

ah.that's a wise explanation .i even realised that it's just a fundamental law and not a theorem.anyways you made it clear.

You can only infer something from something true.

Start with two false assumptions, draw a false conclusion. Where is the problem?

ya you may be right...let me do some research on real numbers and it's properties and then get back to you!!!!