**2. Mathematics and its Relationship with Physical Nature**

Mathematics had its own course of development, often not depending
on what we observe in nature. It is a wonderful world in itself.Philosophers
like Plato have gone to the extent of proposing the existence of a separate
mathematical world [3-4]. Thus the mathematical descriptions of nature are
attempts to map sets of mathematical entities onto sets of objects in the
physical world.

Figure 1: Counterpart of subset of mathematical world known to us
in the physical world

However, only a small subset of the mathematical world known to us
may have counterpart in the physical nature, as shown in Figure l.The same
holds true when we try to map natural phenomena onto the realm of mathematics
known to us, i.e., only a small sub-set of our observations can be described
using mathematical laws known to us.