Postulate

A postulate – sometimes called an axiom – is a statement widely agreed to be true. This is useful for creating proof in the fields of science and mathematics.

Introduction

Alongside definitions, postulates are often the basic truth of a much larger theory or law. For this reason, a postulate is a hypothesis advanced as an essential part to a train of reasoning.

Quality

Postulates themselves cannot be proven, but since they are usually self-evident, their acceptance is not a problem. Here is a good example of a postulate – given by Euclid in his studies about geometry.

Two points determine (make) a line.

Using this postulate and four others like it, Euclid brought a new understanding of geometry to the world, and many people think they are some of the most influential works in geometry – even in our time.

Sometimes, postulates are not obviously correct, but are required for their consequences. One example is Albert Einstein's postulate that the universe is homogenous. This type of postulate was necessary to make possible some major scientific achievements, but can also be problematic since it is not self-evident.

Characteristics

As a rule of thumb, postulates tend to have the following characteristics:

1. Few in quantity
2. Obvious and easy to understand
3. Does not contain many words that are difficult to explain
4. True when used alone – they can be used independently
5. Work together without making any strange result (that is, they are consistent)

Postulates are sometimes proved to be wrong after they have been known for a long time, but this is usually because something new has been discovered, and the original creator could not have known any better.

Related pages

• Koch's postulates
• Parallel postulate