Numbers and mathematics are possible only because time flows

It is probably just a consequence of ageing that I am increasingly captivated (obsessed?) by the origin of things. And of these things, I find the origins of counting, numbers and mathematics (in that order) particularly fascinating. In that order because I am convinced that these developed within human cognition – and could only develop – in that order.  First counting, then numbers and then mathematics. The entire field of what is called number theory, which studies the patterns and relationships between numbers, exists because numbers are what they are. All the patterns and relationships discovered in the last c. 10,000 years all existed – were already there – as soon as the concept of numbers crystallised. Whereas counting and numbers were invented, all the wonders of the patterns and relationships that make up number theory were – and are still being – discovered. And what I find even more astonishing is that the entire edifice of numbers is built upon just one little foundation stone- the concept of identity which gives the concept of oneness.

Croutons in the soup of existence

The essence of identity lies in oneness. There can only be one of any thing once that thing has identity. Once a thing is a thing there is only one of it. Half that thing is no longer that thing. There can be many of such things but every other such thing is still something else.

Numbers are abstract and do not exist in the physical world. They are objects (“words”) within the invented language of mathematics to help us describe the physical world. They enable counting and measuring. The logical one or the philosophical one or the mathematical one all emerge from existence and identity. Neither logic nor philosophy nor mathematics can explain what one is, except that it is. Every explanation or definition attempted ends up being circular. It is what it is.

Given one (1), all other numbers follow.

Where numbers come from

Numbers start with one (1), and without a one (1) there can be no numbers. …… . Given the abstract concepts of identity (oneness, 1) and arithmetical addition (+), all natural numbers inevitably follow. With a 1 and with a +, and the concept of a set and a sum, all the natural numbers can be generated.

1 + 1 + 1 + 1 ……

…. Numbers, ultimately, rest on the concept of identity (oneness).

Equally fascinating are the questions that existence, time and causality are answers to. I am coming to the conclusion that the flow of time (whatever time is) does not emerge from existence but, in fact, enables existence.

Revising Genesis

…. What time is remains a mystery but the first act of creation is to set it flowing. Note that the flow of time does not need existence. To be, however, requires that time be flowing. Time itself, whatever it is, is a prerequisite for the flow of time and the flow of time is prerequisite for existence. ………. For even the concept of existence to be imaginable, it needs that the flow of time be ongoing. It needs to be present as a permanent moving backdrop. The potential for some particular kind of existence then appears, or is created, only when some particular rules of existence are defined and implemented. These rules of existence must therefore also be in place before the concept of things, whether abstract or material or otherwise, can be conjured up.


It is inevitable that my views have evolved and they may well evolve further but my current conclusion is that for mathematics to exist time needs to be flowing.

The bottom line:

  1. All branches of mathematics, though abstract, are existentially dependent upon the concept of numbers.
  2. Numbers depend on the concept of counting.
  3. Counting derives from the concept of oneness (1).
  4. Oneness depends upon the concept of a unique identity.
  5. The existence of a unique identity requires a begin-time.
  6. Beginnings require time to be flowing.
  7. Existence is enabled by the flow of time

Therefore

Numbers and mathematics are possible only because time flows


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