Ask HN:Transitivity property of real numbers

[pencil]

Hello HN,

The transitivity property of real numbers says if a>b,b>c then a>c.but when i test this property with real numbers it give's me false results.let a=1,b=2 and c=3 then the transitivity property says if 1>2,2>3 then 1>3 which doesn't make any sense.i'll be glad if someone could comeout with a nice explanation.

[Kliment]

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.

[pencil]

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.

[wingi]

You can only infer something from something true.

[btilly]

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

[pencil]

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