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## Finite: What does ‘Finite‘ actually mean?

### The Key: Not Just Two Possibilities, but three.

Even in a mathematical context, there are three possibilities:

1. Finite.
2. Infinite.
3. Undetermined.

Depending on context, infinite and undetermined can be equivalent, and in both cases, you not aware of any limit. Something only becomes ‘finite’ when you become aware there is a limit.

### Dictionary Definition Of Finite: It depends on context.

While ‘finite’ and ‘infinite’ have mathematical definitions, dictionaries reveal that common usage extends beyond the mathematical definition. The dictionary definition of infinite includes “immeasurably or inconceivably great or extensive : INEXHAUSTIBLE” as well as “subject to no limitation”, and for finite we have “completely determinable in theory or in fact by counting, measurement, or thought” .

By example, as a human we can consider the number of times a person in the open can breathe as being infinite, even though the amount of oxygen in the air is finite so there is a theoretical limit, a person can breath ‘an inconceivably large number’ and still have no noticeable impact the level of oxygen.

### The Working Definition of Finite for this context.

The meanings of finite and infinite depend on context, as outlined below, so to avoid ambiguity, in the context of these pages, ‘finite’ means:

Finite: ‘known to have a limit that could, in practice, conceivably be reached’.

Me

So yes, words have different meanings depending on context, but it this context, unless explicitly prefixed such as ‘theoretically finite’, ‘finite’ will mean with a known and potentially constraining limit.

Given the principle there are three possibilities, they become:

1. Finite: known to have a limit that could, in practice be reached.
2. Infinite: it is known the that limit cannot in practice be reached.
3. Undetermined: there may be a limit, but if so, the limit has never been reached.

I would suggest that human nature is to assume that when the limit cannot be determined, then it will not in practice be reached, which means infinite and undetermined are seen as equivalent. In this context, the opposite of finite because ‘unlimited’.

Unlimited: Unconstrained by any known limit.

Again, me.

Again, words have different meanings depending on context, but it this context ‘unlimited’ will without any known constraining limit.

## Finite World: When the world of humanity progressed from ‘undetermined’ to ‘finite’.

To the first people on Earth, it must have seemed that no resource was finite, virtually nothing had any known limit. It is not that people believing things infinite, it is that numbers seemed unknowable, and undetermined seemed equivalent to without limits.

There were always new lands to be discovered, hunting animals did not noticeably impact their population, nor did gathering fruit and vegetables make an impact. Fishing did not noticeably impact fish populations.

Most things remained finite until around 1650 CE. At that time no individual even knew of all the continents on Earth making even the amount of land seem unlimited. Sustainable was not a concept people needed to contemplate, as it seemed every thing humans did was inherently sustainable.

Fast forward to the 21st century and there has been a population explosion dramatically increasing the number of humans, and an industrial revolution increasing the impact individuals have on the planet. Now, most people see ‘sustainable’ as essential, but in surprisingly many ways, there are still people who do not, deep down accept the Earth is finite, and sustainability is essential.

## Finite World and Sustainability: It is all relative.

Nothing is sustainable without constraints. Every ‘sustainable’ practice is only sustainable within limits as to the number of people who can engage in the practice and the length of time it can continue. In practice, ‘sustainable’ means ‘more sustainable’ rather than absolutely sustainable. Even ‘sustainable’ farming has a limit to the scale and thus the number people it can feed, and on a planet with a finite life, cannot exist forever.

A question becomes, to be ‘sustainable’ how many people can be supported and for how long? As an extreme example, even breathing air has a limit to the population size before it become unsustainable. There is always a window.

Some people see perpetual population growth as sustainable, and within a sufficiently small window of time it is sustainable. Others see burning fossil fuels as sustainable for as long as 50 years, and in their eyes that is sustainable, while younger people, of people who care about younger people, may require a longer time to be sustainable.

Then there are others who an in denial. Prior to around 1650 CE, everything seems sustainable, and it worked for so long then the same attitude can work today.