Re: necessary or sufficient properties for 'greater than' ( >)

In article
<fa5d5b1b-80ea-45af-88bd-c0d12c7652eb@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
nukeymusic <NuKeyMusic@xxxxxxxxx> wrote:

I wonder which properties are necessary or sufficient to define
correctly -i.e. in a way which makes sense mathematically- 'greater
than' for a given set. I have been searching a bit already on the
Internet and thus far I came to the following conclusion (but I'm
rather unsure about it):

1. not (a<a)
2. if a<b then not(b<a)
3. if a<b and b<c then a<c
4. if a<b and c>0 then ac<bc

Your 'given set' has multiplication? and 0? Why not addition?


can anyone on this list comment whether these four conditions are
sufficient and/or necessary?

thanks

nukey

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.

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