In plane coordinate geometry numbers on the axes of coordinates
directly give 'size' or length, without unit. In applied mathematics
we cannot specify 'size' without unit. In geometry at each point on
the axes of coordinate cardinal number and ordinal number are same.
If L is length specified by both cardinal and ordinal number N, then
specified length=number of units of length within the specified length*    
size of unit length. Here, specified length is CARDINAL number and number
of units of length is ORDINAL number and both are one and the same number.
Therefore 'SIZE' of the unit of length has to be always 1 and can never be
zero. Moreover, this way fractions are eliminated. But in coordinate
geometry unless the unit of length is zero, 'points' are not contiguous.
And if size of unit length is zero, nmbers make no sense. In geometry
the problem is:(1)Both Cardinal number and Ordinal number begin from 0.
(2)At every point on the axes same number is both 'CARDINAL' and ORDINAL.
(3)Both are continuous/contiguous. This works well in geometry because
all elements/sigments of a figure are equally magnified when 'unit' is
assigned a 'magnitude'. BUT DO WE KNOW WHAT RELATION EXISTS BETWEEN
CARDINAL NUMBER AND ORDINAL NUMBER WHEN BOTH THE TYPES OF NUMBERS
ARE CONTINUOUS OR CONTIGUOUS AND COUNTING IS NOT POSSIBLE?