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Topic: Simple versus formal proof?
Replies: 34   Last Post: Jun 26, 2006 4:54 AM

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Ross Clement

Posts: 569
Registered: 12/8/04
Re: Simple versus formal proof?
Posted: Jun 23, 2006 10:04 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Mohab wrote:
> not so, what if you go negative?
> (k-1)^2 + (k-1)


Factorise k^2 + k as k(k+1). Substituting k-1 for k gives (k-1)k, and
the previous proof that since one of these is odd and the other even
therefore the product is even holds. Of course this form of proof could
be used to prove the theorem for all k, so it really shows up how proof
by induction is unneccessary for this problem, but it would still be a
valid proof by induction would it not?

Cheers,

Ross-c



Date Subject Author
6/23/06
Read Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
William Elliot
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
William Elliot
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
tamiry
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
Robert Low
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
Robert Low
6/23/06
Read Re: Simple versus formal proof?
The Qurqirish Dragon
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/25/06
Read Re: Simple versus formal proof?
K. E. Pledger
6/26/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
Robert Low
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
Ross Clement
6/23/06
Read Re: Simple versus formal proof?
Tom Smith
6/23/06
Read Re: Simple versus formal proof?
Tom Smith
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
Robert Low
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
Robert Low
6/24/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
tamiry
6/23/06
Read Re: Simple versus formal proof?
Justin
6/23/06
Read Re: Simple versus formal proof?
Tom Smith
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow
6/23/06
Read Re: Simple versus formal proof?
Tom Smith
6/23/06
Read Re: Simple versus formal proof?
Bob Marlow

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