Phew!, Finally I am blogging again. This weblog isnt about SAP, related technologies etc etc. I read this mathematical statement and underlying logic somehere few days back. And it took me by surprise. I have been studying Mathematics for past 12-13 years now but never thought this way. But anyways, I wanted to share this with fellow SDNers.
Ok, Consider two concentric circles. Here is a diagram to assist you:
For a moment, forget about the extra lines drawn. Now my question is,
Which cirlce has greater number of points? I mean, does circle with radius r0 has more points or does the circle of with radius ri has more points? By “number of points” I mean the points on the circumference.
Most of you will say: “Duh! Isnt the answer obvious?”. Bigger circle will have more number of points. But what we never realise is:
“Consider radius(line) r0. It passes through both circles. Similarly if we extend rm, it passes through both circles. So, it means for every point on outer circle, there is a corresponding point on inner circle and its one to one mapping. This implies that number of points of both circles are equal. And this defies our common logic”.
P.S: Thanks to Boris for two wonderful sessions on Community Day, Bangalore. I cherished those.
P.P.S: I have been reading a lot of “such” matematical paradoxes/puzzles/uncommon logic these days. If anyone is interested please drop me a mail. I would be more than delighted to exchange views of such topics OR I may even blog them.(But then I do not want to overload SDN with matematics).