These are somethings
i find fascinating about mathematics so i'd like to share my views.

It was first in my
abstract algebra's class i realized, how Mathematics almost ran every course of
nature. It became obvious and clear. The excitement of this revelation was
enormous, every thought and reason came rushing together and it all started to
make sense.

How could a newly
born child possibly recognize his mother? or sense danger? Express anger? And
most importantly familiarize?

Exists in nature?
True. But the phenomenon through which, is what we know as Mathematics.

Now Let me explain
what i have stated above.

When i was learning
group theory, its elements their properties, sets and mappings.It is then i
understood that categorizing does not start from this class but from the very
moment of ones existence. The identification of color red and what attributes
to it? How do i classify it as red? of course, its properties!

Now how do i classify
red into the group of colors? The process would begin, if red satisfies all the
properties of the Group:Color, then it does simply belong to that group.

Another reference i'd
like to make is of a newly born child.How would a child know that this person
is his mother and not her or him? How would he know whose arms to rest into?

Well, let us define
an operation, Group( mother ,+)

(i) Sense of
familiarity

(ii) feeds when
hungry

(iii) provides when
needed

(v) smells a certain
way

(vi) holds distinctly

and many more that
would follow.

Fascinating how a
child who is just born and knows of nothing, is already processing graduate
level of mathematics in his brain, classifying and familiarizing. Makes one
wonder, at the same time, about the complexity of mathematics and how easily it
comes to everyone without even trying.