Do you need one symbol for the number infinity and another for denoting that a set is inifinite? Or do you just reason about the size of the set? Is there a difference between a set that is countably infinite and one that isn't countable? I barely know Russell's paradox... you're ahead of me. On Apr 20, 2013 6:08 PM, "Simon Forman" <[email protected]> wrote:
> On 4/20/13, John Carlson <[email protected]> wrote: > > How do these handle infinite sets? > > > > :D > > You have to handle infinity the same way a computer does: make up a > special symbol and let it use different rules. > > You make up a name and describe the behaviour of the thing named by > logical statements that can be encoded in the notation. > > Several people have experimented with number notation systems inspired > by or layered on top of the boundary/name-based notation, but the > basic system is strictly binary logical, not numerical. > > I'm playing with expressions that denote circuits that compute > mathematical functions, which is the obvious "natural" way to express > numbers and "do math" with the notation, and of course anything a > computer can be made to do (floating point, NaN, Infinity, etc) can be > expressed in the notation. > > I'm hardly a sophisticated source for this stuff- I'm in way over my > head -but there is a lot of rich and detailed information at the > websites mentioned. > > Warm regards, > ~Simon > > > > >> > >> C. S. Pierce, Existential Graphs, circa 1890 > >> > >> Spencer-Brown, "Laws of Form" > >> > >> Bricken, http://iconicmath.com/ > >> > >> Shroup, http://www.lawsofform.org/ > >> > >> Burnett-Stuart, http://www.markability.net/ > >> > > > > "The history of mankind for the last four centuries is rather like that of > an imprisoned sleeper, stirring clumsily and uneasily while the prison that > restrains and shelters him catches fire, not waking but incorporating the > crackling and warmth of the fire with ancient and incongruous dreams, than > like that of a man consciously awake to danger and opportunity." > --H. P. Wells, "A Short History of the World" > _______________________________________________ > fonc mailing list > [email protected] > http://vpri.org/mailman/listinfo/fonc >
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