Mathematical Beauty

To make difficult things simple,
that’s the ultimative riddle.

To convert the unknown
to the known
in a way no one has ever thought before,
that’s the most beautiful lore.

Can you dare to think the impossible,
to solve the things
they told you
were unsolvable?

Originality;
or merely the combination of thoughts
that were thought before,
they become beautiful, even more…

Generality
and individuality;
Holism
and reductionism…

But, my friends,
what is (mathematical) beauty
even supposed
to be?

Starting with as few assumptions
as possible,
generating solutions
as easy as solvable;

Generalizing solutions
to solve similar issues;
shaping conclusions;
the implication continues…

That, my dear friends,
is why mathematics never ends;
Driven by beauty;
that’s the mathematician’s most joyful duty.

Abstractions of Reality

The abstraction of logic
is the best evidence
that logic itself
is a kind of creativity.

It’s indeed a creative act
to discover the laws of nature
and to overthink them
to summarize them
in simple equations.

Mathematical abstraction
is the highest form of abstraction itself,
yet I have to say
that physical laws should have
mathematical beauty as well.

Reality is such a bizarre construct
that can’t be easily reconstructed
for it’s so complex
if we zoom into the details
and think about the big puzzle as well.

And, let me tell you,
the devil lies in the details,
for nothing is ever smooth
in the physical world
of fractal-like patterns.