We can make a new fraction in between these two rational numbers by adding both the numerator and denominator together as follows :-

__It looks as if the rational numbers fill the interval [0,1] completely. However, this is not so. There are irrational numbers between the fractions everywhere. Oddly there are “many more” irrational numbers than fractions. ____Cantor’s great discovery was that the set of all decimals (i.e. all rational and irrational numbers) is ‘uncountably infinite’.__ This ‘uncountable infinity’ he called **א _{1} **and demonstrated that it is ‘bigger’ than the ‘countable infinity’,

Even after removing an infinity of points, the line has not shrunk by the smallest of distance, for these isolated points, each of “zero” length, can never accumulate to measure any length at all. (Mathematically a point is defined as “zero dimension” i.e a natural number however large, will give a non-existent product when multiplied by its “zero” length.) Similarly, an **א _{0} **infinity of isolated points will always remain countable. If they are shrunk down together without limit,

With the addition of the ‘a’ and ‘h’ sounds, the Mutes become twenty seven and this is the number of the lunar constellations in the Vedic system [19]. Each constellation marks thirteen...

yasyaaonmaoYainamaoYaaByaaM jagat: p`layaaodyaaO . tM Sai>caËivaBavap`BavaM SaMkrM stuma: ..1.. yasya ]nmaoYa inamaoYaaByaaM jagat: p`laya ]dyaaO. tM Sai>caË ivaBava p`BavaM...