Archives for the month of: January, 2014

Quantities are not a human invention.

Early humans saw that things existed in various quantities, and named the various quantities.

When a single thing of a class of things – whether it’s pebbles, people, protons, pears or any other class of physical object – humans name that quantity ‘one’.

The human name ‘one’, or 1, is simply a name for that specific quantity of physical object.

Humans did not invent the quantity which the human number 1 represents.

When there is a quantity of thing, which humans call 1, and it is put together with the same quantity of the same thing… that becomes a quantity which humans call ‘two’, or 2.

But again, humans did not invent the quantity represented by the human number 2, nor did humans invent the numerical relationship which we represent with 1(thing)+1(thing)=2(thing).

1a+1a=2a is a natural law which holds true for *any and every* class of physical phenomena

so the numerical relationship 1+1=2 is a natural law, represented in human language

A quantity of thing which is *represented* by the human number 1, put with another same quantity of same thing, results in a quantity of things *represented* by the human number ‘two’, or 2.

This numerical relationship between the quantities represented by the human numbers 1 and 2, is not a human invention.

This is a natural law of quantity.

If there is a quantity of thing represented by the human number 1, and it’s put with a quantity of the same thing represented by the human number 2, then there is a resulting quantity of things – a quantity represented by the human number ‘three’, or 3.

Again, the quantity of things represented by the human number 3, is not a human invention. The human number 3 is a name, a description.

And the numerical relationships represented in human terms by 1(thing)+2(things)=3(things) is not a human invention.

It is a human description of the natural law of numerical relationships between those quantities.

1a+2a=3a, where ‘a’ represents any class of object, is a natural law, and it follows that all other numerical relationships which can be derived from it are also natural laws.

This is a simple demonstration of how human systems of number are related to the way the natural world is inherently structured.

It is not anthropomorphism to say that human numbers represent physical properties of quantity. Humans did not invent the physical properties of quantity, or the numerical relationships between quantities, just because they invented human systems of number. The numbers are names for quantities, and the relationships between them describe natural laws of the numerical relationships between those quantities.

In the same way, humans did not invent the attractive force between mass when they invented their theories of gravity. The word gravity, and the theories of gravity, name and describe a natural law of gravitational attraction.

This connection between simple number theory and natural laws explains how human maths has become such a useful tool for investigating the physical properties of the universe.

And further to that, it also shows that the rapidly growing connections between number theory and physics are not coincidence, nor the effects of anthropomorphism. These connections exist because number theory is not some abstract human invention which just happened to be consistent with how the structures, behaviours and interactions of physical phenomena ‘work’ in physical reality… number theory is based, from observation, on the *natural* laws of numerical relationships which govern the structures, behaviours ad interactions of all physical phenomena.

Advertisements

Pi is a human number which represents the ratio between the circumference and radius of a circle.

The relationship between the circumference and radius of a circle, is naturally numerical.

The ratio between the circumference and radius of a circle is a fundamental, absolute, universal, physical constant.

The human number pi represents a fundamental physical constant.

Human numbers represent fundamental physical constants of naturally numerical relationships.

the universe is structured and governed according to the numerical relationships which exist between its constituent parts

the number system is like a theory of gravity – describing natural properties of the universe

the number system is a tool – developed from human experience of how the natural world works

numbers are the physical constants of proportions – for quantities, magnitudes, geometries – on which the structure and nature of reality is based

giorgio_tsoukalosAnswer-is-aliens-300x211

Here’s a question: if we expect technologically advanced alien civilisations to have an understanding of number and maths, how can we claim that number and maths are a human abstraction with no connection to physical reality? If we think it’s likely that another intelligent, sentient species would also develop, independently of us, systems of number theory and maths which gave the same results as ours (using different symbology of course) for the numerical relationships between various quantities and magnitudes – that is, if their systems give the same answers to questions such as “How many things do you have if you add 1 thing to another 1 of the same thing?” – then clearly there must be some sort of universal laws regarding how numerical relationships work in physical reality.

teh theory – a playfully serious theory of everything – has a tongue in cheek title because humour is the greatest check and balance on dangerously absolute certainties…

…oh… and because it is, of course, a little bit crazy…

human number systems are not abstract inventions, they’re descriptions of the natural laws of numerical relationships which govern the structures, behaviours and interactions of all physical phenomena…

the natural number sequence is a series of human names for the fundamental physical constants of quantity and magnitude

the relationships between all quantities and magnitudes of physical phenomena are inherently, absolutely, and *naturally* numerical

human number systems are descriptions of those *natural* laws of *naturally* numerical relationships

the natural number sequence is a series of human names for the fundamental physical constants of quantity and magnitude

the relationships between all quantities and magnitudes of physical phenomena are inherently, absolutely, and *naturally* numerical

the universe is structured and governed according to absolute laws of proportions and ratios

these apply to quantities, magnitudes, spacial geometries

because proportions and ratios are numerical, the relationships between physical phenomena are inherently numerical

the structures, behaviours and interactions of all physical phenomena conform absolutely to these numerical laws of proportions and ratios

numerical relationships are physical constants

human concepts of number are based on observation of how the physical reality we exist within is naturally organised

human systems of number describe the physical constants of proportions and ratios

human number systems are not purely abstract concepts, they are descriptions of the numerical relationships found in the physical world

not once, in the entire history of human observation of the phyisical universe, has it ever been observed that 1x+1x=/=2x.

ever

Is there not a natural mathematicality to the structures of our universe and the forces which govern them? Was the path of Earth’s orbit around the Sun not elliptical before humanity evolved?

The physical relationships between quantities, forces, spacetime – these are governed by laws which have an absolute mathematicality to them. The term ‘mathematicality’ is used to differentiate the natural laws of numerical relationships from the human descriptions of those laws, called ‘maths’ and ‘mathematics’.

Human mathematics is not collection of purely abstract concepts. It is derived from human observations of how the real world works – how could it have become such a useful tool in our understanding and organisation of the world around us, if it is utterly disconnected from that world? If mathematical concepts were purely abstract, they would be of no use whatsoever beyond entertainment.