- #1

musicgold

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- Homework Statement
- This is not a homework problem. I was explaining my kid the concept of mathematical rigour and the importance of proofs. She threw a curved ball at me - how I can prove that every number divided by itself is 1.

- Relevant Equations
- I tried using proof by contradiction to prove it but couldn't do it. Is this because the statement is a corollary of the Multiplative identity posulate (of the famous 13 posultates)?

**Proof by contradiction**(for some reason the LaTeX code is not working for me. Sorry)

Lets assume that A, B, and C are non-zero real numbers; A = B ; and C is not equal to 1.

A/ B = C

A = B x C

**But BxC could be equal to B, if and only if C =1**

Also, could you recommend a book where I can learn more about such basic proofs?

Thanks.