Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk.
God made the integers, all else is the work of man
The numbers or more specifically Natural Numbers is known as base of mathematics study in general. The Natural Numbers are the most basic concept for real or abstract object representation. In this post give an interpretation of the natural numbers as a philosophy which has a simple structure but powerful.
Let’s start with the first natural number, that number being represented as |. In this case is used the symbol ‘|’. Writing as the first premise:
• | is a Natural Number.
The existence of natural numbers follows from this first premise, showing | as a Natural Number.
Let’s consider a Natural Number n, then let |n be a representation of a Natural Number derived of n. Written as the second premise:
• Let’s n a Natural Number. Then |n is a Natural Number.
Recursively we can construct Natural Numbers like |, ||, ||| etc.
The form of construct the numbers is simple, since is based on grouping object (like apple, rocks, people etc.). It’s form of construct the natural numbers is formally known as Unary System a Numeral System that use a unique symbol for represent numbers.
Philosophy, science or engineering create a complex or simple structure, where a complex structure can be partitioned in several simple structure. As in this case the Natural Numbers construction is a simple structure that is a of the atoms of the universe called mathematics.
That powerful is the natural number concept that no limit for number representation, the count process (first and second premise) can be used for construct object more complex, i.e., if writing the premises as:
• Exist at least an object.
• Let’s n an object. Then |n is an object.
These premises provide an abstraction of the natural number of steps. Describing a natural process of the existence. For example, an entity 0 and | describe an action, complement or property of 0 denoted as |0, then |0 is too an entity.
Examples:
• Paradigm changes in the history. Include undocumented paradigms. Paradigms as objects and change like a process that generate a new Paradigm use as base this object.
• Several mathematical structures that use Natural Numbers or a mapping of Natural Numbers in form inductive.
• Deductive thinking. Take as first object initial conditions, mental process for deduct more mental objects. The deductive thinking tries get a goal use mental process for achieve it.
Even it is noted a simple concept as count can represent process complex, at least explained with words like deductive thinking.
The natural numbers can represent real objects and abstract objects with a rule of count where count can mean any process that generate more objects (real or abstracts) recursively.
