
Re: Is it possible that 3+4=8?
Posted:
Jan 23, 2011 8:47 PM


On 20110123, Ilmari Karonen <usenet2@vyznev.invalid> wrote: > > It also turns out that the otherworldly addition as we have defined it > corresponds in a simple way to ordinary addition. In particular, > > x & y = g( f(x) + f(y) ), > > where > > f(0) = 0, f(o) = 1, f(~o) = 1, f(x) = x+1 and f(~x) = (x+1) > > for all positive integers x, and g is the inverse of f, i.e. > > g(0) = 0, g(1) = o, g(1) = ~o, g(x) = x1 and g(x) = ~(1x) > > for all integers x > 1.
Of course, there's a typo here: that should be g(x) = ~(x1) for all x > 1.
 Ilmari Karonen To reply by email, please replace ".invalid" with ".net" in address.

