The logarithm the difference of the difference and the division of the division

Through another more careful analysis you will notice that since we have 1/n n has to be above 0 so the sum

is actually

or

going back

In any case we arrive at logarithm and i should have expected it since 1/n and log(n) are somehow related
as you cut down the unit into smaller and smaller pieces you get to something (if you add them together) we call the logarithm

What is the division? the difference of the difference
if you divide 8/2 it's like subtracting 2 until you get to zero
now what is the logarithm? the division of the division

or more compactly

and that's natural since the exponent is the multiplication of the multiplication

unfortunately it seems we stopped there
there is no widely known name for the logarithm of the logarithm - there is of course polylogarithm but that's not a completely new name
or the power of the power


and the abstraction continues


[ i really enjoy these equations
so it's more like me doing these
and in the meantime seeing the progression of folding and moving on
]