just some comments........ 
sometimes we constrain our minds when we draw imaginary boundaries
between different fields, which on closer inspection, they comes
from the same root. for instance, fractals is basically a
mathematical theory but it was applied in physics and later in
computer science. one of the methods to think out of the box is not
to constraint our mind and we could be creative. for example,
fusion crusine emerged out of experimenting different food
cultures.
many fields are also interdependent on each other for their
advancements. for example, the field of computer science emerged
with application of Turing's mathematical theory and discrete
maths. now, computer science drives the development of the maths,
sciences and engineering. for example, high performance computing
is used to design faster and more complex CPU chips which in turn
drives computer science. a lot of physicsts are mathematicians,
computer scientists are applied mathematicians or engineers,
biologists are chemists etc. most if not all the real life problems
are multi-disciplinary and it really helps to know how a field is
affected by other fields and how it will affect other fields. IT is
never an isolated field, but rather, it is a field that helps to
solve myriad types of real life problems.
being showy of my knowledge is my last thought. in fact, i dun know
many uncountable things, worse still, i dun even know what i dun
know. my perspective is that knowledge should be like blood, i.e.,
it must be allowed to flow. i thought it might be interesting to
some of you to share what i know abt fractals and i also hv
benefitted personally from knowledge that are shared by other
fellow forumites too. as a matter of fact, i thought i know a lot
about fractals, but when i finished reading the complete wiki page,
i realised there are other missing pieces that i dun know, so i
know what i dun know now. we live in an information overload era
and we only hv 24hrs a day, so we hv to depend on frens to learn
new knowledge.
(of course, i can understand the benefit of classifying fields into
their respective names and jargons. it faciliates communication and
focus.)