
Re: Can addition be defined in terms of multiplication?
Posted:
Aug 17, 2013 3:06 AM


Nam Nguyen wrote: > On 16/08/2013 9:49 AM, dullrich@sprynet.com wrote: >> On Fri, 16 Aug 2013 02:05:09 0700, William Elliot <marsh@panix.com> >> wrote:
>>> x + y = log(e^x * e^y) >> >> If you don't know what "in the language of arithmetic" means >> it would be a good idea to refrain from answering questions >> about the language of arithmetic, lest you look silly. > > _That_ actually isn't silly. The language of arithmetic is either > L1(0,S,+,*,<) or L2(0,S,+,*), so "in the language of arithmetic" > technically just means "in L1" or "in L2".
So given the language of arithmetic is what you say, it isn't silly to use log and exp? Note that my post spelled out your L1 and L2.
 Sorrow in all lands, and grievous omens. Great anger in the dragon of the hills, And silent now the earth's green oracles That will not speak again of innocence. David Sutton  Geomancies

