> Real number counting is a bit more loose. To find the numbers between .1 and .2, you find all fractionals of a given size, normally 1/10.
Unfortunately the fractionals method does not work, since there are numbers (in fact, uncountably infinitely many!) irrational numbers which cannot be expressed as fractions, which are nonetheless real numbers (such as the square root of two and pi).
Unfortunately the fractionals method does not work, since there are numbers (in fact, uncountably infinitely many!) irrational numbers which cannot be expressed as fractions, which are nonetheless real numbers (such as the square root of two and pi).