Originally posted by Fiathahel
Apparently you never learned the definitions of infinity. That's the problem with today's education. They don't explain things, they just say it is. [parts omitted]
Everybody could have been good at mathematics, if the education had b ...[text shortened]... or the entire world, but this is how education is in Holland ]]
when i was in school (a very
long time ago), we were taught first that, first, subtracting 3 from 2 could not be done and, later, division by zero is "undefined". no explanation as to why--just that that was how it was.
when signed numbers were introduced to us, the first operation became feasible, and things got easier for me since i now knew that there were more numbers than i'd first been taught to believe. but dividing 3 into 5 was just given as "1 with a remainder of 2". when was the lsat time you saw that kind of gobbledygook?! once we were taught decimal conversions this became simple, but i still leave 5/3 just like that.
eventually, the idea that there were number that could not be represented in fractional form, and that this set was "bigger" than the fractions. hmmmmm.
later, it was explained that dividing by zero is "infinite" but no "value" was given to that notation. still later, the concept of an infinite number of infinities, each "bigger" than its predecessor
, was brought in, and my mind boggled.
it was not until i got into college, however, that i learned that there were two sets of irrational numbers, how they differed, and so forth.
in my opinion, teh u. s. education system, which depicts itself as the best in the world, is in pretty sad shape when school students cannot form correct sentences, locate things on a map, or do even the simplest math without using a calculator. heck--when i was in school, we didn't even have
calculators--you either did the math in yuor head or wrote it on paper!
it's a sad reflection on our very expensive education system that we turn out such poor specimens, but i don't know what to do about it.