A main reason why we use proof by induction is to show somet

A main reason why we use proof by induction is to show something is true about an infinite set.

(1) Why is the following “proof” incorrect?

Claim. The Earth is flat.

“Proof ”. When I stand in my office and look out the window, the Earth is flat. When I stand outside the library and look around, the Earth is flat. In fact, I can stand at n number of points, for any n, anywhere on the Earth and at each one of those points, the Earth is flat. Since the Earth is flat at every point, the Earth must be flat. (2) How do proofs by induction avoid the problem in part (1)?

Solution

yeah,  Induction uses proof to show something is true about an infinite set.

But here in this case it is not true because,

you are saying that earth is flat at n different number of points by seeing with your naked eye, if you observe the same with telescope or binoculars are some thing else like that your observation changes from instrument to instrument.

So , from this i want to say that the limit of naked is limited and so we can see only up to some extent on earth...

This is my opininon...

please rate if you like my answer.

thanks for choosing chegg :)