- #1
musicgold
- 304
- 19
- 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.
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.