Den fredagen den 20:e september 2013 kl. 04:10:04 UTC+2 skrev Michael F. Stemper: > On 09/19/2013 08:44 PM, firstname.lastname@example.org wrote: > > > > > I think all of this boil down to the use of our hindu arabian numbersystem with zeros. > > > > The results that the other participants in this thread are discussing > > are independent of representation. > > > > > And the question is can really squaring of a quantity regardless granularity give a > > > smaller product then the factors. We partition a the single 1 into > > 100/100. We now have a square of 10^2. > > > I now pick five elements thus 5/100 and square them thus 25/100. > > > > No, squaring 5/100 gives 25/10000. To square a number, you have to > square both its numerator and its denominator.
No i do not square 5/100 i square 5 of a certain granularity which happen to be 1/100. You see in a bijective zeroless basesystem all factors products is always positive.
And this is how ancient people looked at fractions.
> > > > Oops 0,05^2 is 1/4 not 1/400, > > > > Oops! 0.05^2 is 0.0025, which can also be represented as 1/400. > > > > 0.5^2 is 1/4. > > > > > How we look at numbers depend upon the very early choices we make like representation. > > > > Nope. The results that others are discussing are representation-independent. > > > > -- > > Michael F. Stemper > > If you take cranberries and stew them like applesauce they taste much > > more like prunes than rhubarb does.