Re: The Harris Group

So....

Consider any a,b,c contined in [0,1], with a < b < c.

By adding, we can "converge up" from a to c by adding a + b, or a
sequence of b1, b2,b3....bn. We can get from a to any c in [0,1], a<c,
by adding.

By multiplying, we can go the opposite direction.
By multiplying, we can "converge down" from c to any a by multiplying
b*a, or by using a sequence of b1, b2,b3....bn. We can get from c to
any a in [0,1], a<c, by multiplying.

Granted - this does not look anything like an "inverse element" that
we are accustomed to, but it could serve the same purpose.

I just think it's wierd - that is all.



.

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