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Friday, September 7, 2007

Every natural number is interesting

There is an interesting theorem in Mathematics. It states that every number is an interesting number. The proof is as follows and is based on the principle of mathematical induction:


One is interesting because it is the first natural number. Two is interesting because it is the first even number. Three is interesting because it is the first odd prime number. Let us now assume that the first ‘n’ numbers are interesting so that ‘n+1’ can possibly be uninteresting. But, this number will also be interesting as it is the first uninteresting number. Hence, by the principle of mathematical induction the all natural numbers are interesting.

2 comments:

The Morgod Chronicles said...

heh heh...have been discussing that for a few years now i guess! :)

Shishir Pandey said...

Yup, it has been a few years,
I have not written down my theory for 'global warming' I need to write that too...