From: | Robert B Wilson <han_solo55@...> |
---|---|

Date: | Wednesday, April 9, 2003, 12:19 |

On Wed, 9 Apr 2003 12:26:37 +0200 Christian Thalmann <cinga@...> writes:> --- In conlang@yahoogroups.com, Robert B Wilson <han_solo55@J...> > wrote: > > 0/0={0,1} (actually it's not really that simple, 0/0 isn't > considered to > > have two values, but one that is 0 and 1 at the same time (this > type of > > value is called called a _luatkarno_ [4M?@skar\no])) > > > > 5*0/0={0,1},{0,5} > > I don't get it. If 0/0 = {0,1}, shouldn't 5*0/0 = {0,5}? > What does the comma between the braces mean?5*0/0=both {0,1} and {0,5}: (5*0)/0=0/0={0,1} 5*(0/0)=5*{0,1}={0,5}> > 2*5*0/0={0,1},{0,10} > > 1+5*0/0={0,1},{1,6} > > Hunh? Is that (1+5)*0/0 or 1+(5*0/0)? In the latter > case, I'd just expect {1,6}... again, what's the > first part of the result supposed to mean?the first part of the result is what you get when you take it as (whatever*0)/0=0/0={0,1}> > 1/0=1+0/0={0,1},{1,2} > > Wait a second... 1/0 = (1+0)/0, certainly, but is > 1/0 = 1+(0/0)? I don't see why it should...oops... i guess i made a mistake there... hmm... what would 1/0 equal? i don't want to just say inf cause then you can't just multiply it by 0 and get 1 (5/0 would be inf also (5inf=inf))...> > {0,1}/{0,1}={0,0}=0 > > Eh? Shouldn't that end up as 1?no... things get sort of complicated when dealing with these _luatkarno_'s (i haven't figured out what should be the plural of this word (or if it should be the same as the singular...)> > {0,5}/{0,1}=5 > > That's inconsistent with {0,1}/{0,1}=0.well, {0,1} behaves a little differently (sort of like 0 behaves a little differently from other numbers)> > {0,10}/{0,1}=10 > > {1,6}/{0,1}=6 > > {1,2}-{0,1}={1,1}=1 > > That's a bit problematic...not really... it's consistent hmm... i'm having a rather hard time figuring all this out...> 0 = 0 > ==> y * 0 = x * 0 | /0 > ==> y * {0,1} = x * {0,1} > ==> {0,y} = {0,x} | /{0,1} > ==> {0,y} / {0,1} = {0,x} / {0,1} > ==> y = x > > Since x and y were arbitrary, x = y for all x, y. > > There's a reason why we don't divide by zero, you know. ;-) > Anyway, if you want to assign a value to 1/0, better use > infinity. It makes more sense, seeing how 1/x -> inf for > x -> 0. (Incidentally, that goes for positive as well as > negative approaches to 0, so inf = -inf.) Just don't allow > things like 0/0, inf-inf, inf/inf, 0*inf or such be > evaluated without deeper thought. That will only ride you > into contradictions.hmm... it all makes sense if you allow statements to be true and false at the same time...> > any ideas how i can get a computer to do this sort of thing? > > Use an object class for your numbers, and define methods > for all operations you'd like to be able to do. However, > your set of rules had better be complete and consistent > for that to work... =Phmm... i guess i have to figure out how this set of rules actually works, then...> -- Christian Thalmann-- Robert Wilson (aka kuvazokad, eltirno, edeí...) http://kuvazokad.free.fr/ vkky vnkynvj vknyknj ykkv knvy? karkalone kontoko? kinsi rorotan kinsa nadas? baitta ke farzaiyai? qxracc pqqattiircx iia kxqqhwiiallccre? spreken þu viserdya? pake biru ka pa rede?