We are going to see some important phenomena which utilizes only THREE entities.
Only four chemicals(cytosine [C], guanine [G], adenine [A] or thymine [T]) are used to write the entire bio-information of a species in the DNA molecules. Here only three letter (chemicals) words are used to indicate the amino acids which are building blocks of life.
We live in three dimensional world.and we are three dimensional being. Even we find it difficult to navigate in the two dimensional surface of the earth. We require GPS, compass, google map etc. If this world gets more than three dimension, only confusion may result. If we are two dimensional being like a piece of paper, life may not function. That is, metabolism, respiration, thinking etc. may not happen. Hence three dimension is the required minimum for a good life.
Red, Green, and blue. Three primary colours are enough to produce all the millions of colours and arts. By suitably combining them, we can produce any colour. Because our eyes are designed for these three colours.
There are only three fundamental forces. 1. gravitational force 2. electromagnetic force 3. strong and weak nuclear force. The universe, our world, all machines and we function only because of these forces. More forces cannot co exist.
Solid, liquid and gas. only three phases of matter. Conversion between them is easy with absorption or release of heat energy. Our earth has solid core, liquid surface, gas cover(atmosphere).
To conclude; A minimum no. of entities (here, three) in each category is enough to produce variety, spice, colour, life. Man made machines and God made artifacts. Less number. of 'things' means more clarity, good harmony and no surplus.
A principle called occam razor says, "Entities should not be multiplied unnecessarily"
It can be interpreted in many ways. We will take it as "Minimum number of entities are enough to produce varied and complex structures and phenomena".
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