On Mar 14, 12:57 am, "DavidW" <n...@email.provided> wrote: > Tonico wrote: > > we say the cardianl of set A is bigger than the cardinal of set B if > > there's a 1-1 function from B to A and there is NOT a 1-1 function > > from A to B. > > You might _say_ that it's bigger but this fails once you deal with infinite > sets. The term "bigger" then becomes meaningless, just as the laws of physics > do, so physicists say, at a singularity. You are just wishing away the problems > by assertion.
*** This seems to be way out of your league...**sigh**...it is a definition, something you don't seem to understand, and according to that definition, so and so. You may not like the definition, but if you accept it then you must accept the consequences. Mathematicians, unlike whimsical brats, know this, so they object the definition of its usefulness, but they can accept one and not the other, as that'd be utterly absurd and illogical.