The Little Dimensions

As well as viewing the world in a grand manner and examining its dimensions, we can view smaller items in a similar way.

Let's look at some basic physics.

We know that, if the volume of a gas is kept constant, that the pressure and the temperature vary in proportion.

We could draw a graph of pressure against temperature.

This is a 2 dimensional representation.

Similarly, if we keep the temperature constant, the volume of the gas will vary according to the pressure.

This is also 2 dimensional.

We can vary the temperature and the pressure and note the volume. Now we have 3 things and would need to draw a 3 dimensional graph to view the relationship as an object. The problem here in terms of understanding is that it is difficult to visualise the resulting solid, and impractical to make one.

Marketing Example

The four P's of marketing are:

  1. product
  2. price
  3. promotion
  4. place

So the success of sales depends on what is being sold, its price, how demand is stimulated and where it is positioned. These are all very vague concepts and belie much greater complexity.

Assuming that we can use numbers to represent degrees of these facts, we can, for a given product, vary three things to produce a given sales effect.

To represent these as a solid, we would need 4 dimensions. We can vary the price, promotion, and place and record the sales success. Even if we assume that each of these facts are easy to understand, then we cannot imagine ('see in the mind's eye') how all these combine together in 4 dimensions to create the sales effect. We may have a vague idea which we might call intuition.


Intelligence may be considered dependent on:

  1. hereditary
  2. early background
  3. life experiences
  4. education

Assuming that these could be defined in some way and measured, then we would require a 5 dimensional graph to represent them.