On Wed, Dec 5, 2012 at 3:46 PM, Joe Niederberger <firstname.lastname@example.org> wrote: > GS Chandy says: >>Rather late in the day (I'm sure), I must confess that I do not 'get' what you mean by the 'Martinez road'. > > Author of "Negative Math": > http://www.amazon.com/Negative-Math-Mathematical-Rules-Positively/dp/0691123098 > > He simply shows that the algebra we learn in school is not the only possibility -- more a philosophical point than practical. > Regarding the business of why (-) x (-) = (+), the answer in this book is "well, that's a choice, there are other possibilities," and he begins to explore that a bit. >
If he claims that the system he invents is a ring, then he is not telling the truth. (This means that his system is none of the familiar number systems, all of which are examples of a ring.
In a ring, there is no such choice. Only in a non-ring can there be such a choice.