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Topic: Can addition be defined in terms of multiplication?
Replies: 58   Last Post: Aug 23, 2013 3:56 PM

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Graham Cooper

Posts: 4,280
Registered: 5/20/10
Re: Can addition be defined in terms of multiplication?
Posted: Aug 19, 2013 9:07 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Sunday, August 18, 2013 3:40:08 PM UTC-7, graham...@gmail.com wrote:
> > 2 x [ n^ X ] [ n^ [ s Y ] ] [ n^ [ s Z ] ] :-
>
> >
>
> >
>
> >
>
> > + [ n^ X ] [ n^ Y ] [ n^ Z ]
>
>
>
>
>
> TYPO:
>
>
>
> x [ n^ X ] [ n^ [ s Y ] ] [ n^ [ s Z ] ] :-
>
>
>
> x [ n^ X ] [ n^ Y ] [ n^ Z ]
>
>
>
>
>
>
>
>
>
> this is:
>
>
>
> 2^x * 2^(y+1) = 2^(z+1)
>
> <-
>
> 2^x * 2^y = 2^z
>
>
>
>
>
>
>
> which is just an adaption of Peano Addition / same algorithm.
>
>
>
> x + y+1 = z+1
>
> <-
>
> x + y = z
>



This still uses SUCCESSOR

2^x * 2^(y+1) = 2^(z+1)
<-
2^x * 2^y = 2^z



The only way to avoid that (if you consider successor addition)

would be a different number structure.

1 = 2^0 = 1
2 = 2^1 = t(1)
4 = 2^2 = t(t(1))
8 = 2^3 = t(t(t(1)))
...


might be able to handle composite + composite = composite

1 + 2 = X
2^1 * 2^2 = 2^X
X = |t(1)| + |t(t(1))|


but I have other things to work on....

Herc
--
www.phpPROLOG.com



Date Subject Author
8/16/13
Read Can addition be defined in terms of multiplication?
Peter Percival
8/16/13
Read Re: Can addition be defined in terms of multiplication?
William Elliot
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/16/13
Read Re: Can addition be defined in terms of multiplication?
David C. Ullrich
8/16/13
Read Re: Can addition be defined in terms of multiplication?
namducnguyen
8/17/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/17/13
Read Re: Can addition be defined in terms of multiplication?
namducnguyen
8/17/13
Read Re: Can addition be defined in terms of multiplication?
fom
8/23/13
Read Re: Can addition be defined in terms of multiplication?
tommy1729_
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Robin Chapman
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Helmut Richter
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Rotwang
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Virgil
8/22/13
Read Re: Can addition be defined in terms of multiplication?
Rock Brentwood
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Shmuel (Seymour J.) Metz
8/17/13
Read Re: Can addition be defined in terms of multiplication?
Helmut Richter
8/16/13
Read Re: Can addition be defined in terms of multiplication?
Jim Burns
8/16/13
Read Re: Can addition be defined in terms of multiplication?
fom
8/17/13
Read Re: Can addition be defined in terms of multiplication?
Robin Chapman
8/17/13
Read Re: Can addition be defined in terms of multiplication?
fom
8/17/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/17/13
Read Re: Can addition be defined in terms of multiplication?
fom
8/17/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/17/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/18/13
Read Re: Can addition be defined in terms of multiplication?
William Elliot
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/18/13
Read Re: Can addition be defined in terms of multiplication?
William Elliot
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/18/13
Read Re: Can addition be defined in terms of multiplication?
David C. Ullrich
8/18/13
Read Re: Can addition be defined in terms of multiplication?
David C. Ullrich
8/17/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/18/13
Read Re: Can addition be defined in terms of multiplication?
David Bernier
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Ben Bacarisse
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Jim Burns
8/18/13
Read Re: Can addition be defined in terms of multiplication?
fom
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Ben Bacarisse
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/18/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/19/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/19/13
Read Re: Can addition be defined in terms of multiplication?
Alan Smaill
8/19/13
Read Re: Can addition be defined in terms of multiplication?
fom
8/19/13
Read Re: Can addition be defined in terms of multiplication?
Alan Smaill
8/20/13
Read Re: Can addition be defined in terms of multiplication?
Alan Smaill
8/20/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/20/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/20/13
Read Re: Can addition be defined in terms of multiplication?
Graham Cooper
8/22/13
Read Re: Can addition be defined in terms of multiplication?
David Libert
8/22/13
Read Re: Can addition be defined in terms of multiplication?
Peter Percival
8/20/13
Read Re: Can addition be defined in terms of multiplication?
fom

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