Ubiquity principle of Set.
Of ferman: Fernando Mancebo Rodriguez--- Personal page.
You can see many of my works, in the following pages:
Double slit and camera obscura experiments: ferman experiment
In favour of the cosmos theory of ferman FCM ||| Theory of Everything: summary
Model of Cosmos. ||| Atomic model ||| Development speed of forces.||| Magnets: N-S magnetic polarity.
Stellar molecules ||| Static and Dynamic chaos||| Inversion or Left-right proof
Chart of atomic measures||| The main foundations of the Cosmos' Structure
Positive electric charges reside in orbits.||| Mathematical cosmic model based on Pi.
Inexactness principle in observations ||| Einstein and the gravity ||| The Universal Motion ||| Atomic particles
Cosmic Geometry ||| Bipolar electronic: semiconductors ||| Multiverse or multi-worlds
Radial coordinates.||| Physical and mathematical sets theory. | Algebraic product of sets.
Planar angles: Trimetry.||| Fractions: natural portions.||| Cosmic spiral
Equivalence and commutive property of division. ||| Concepts and Numbers. ||| Bend coefficient of curves ||| Mathematical dimensions
Transposition property ||| Accumulated product: Powers ||| Dimensional Geometry: Reversibility
Priority Rule in powers and roots ||| The decimal counter ||| Paradoxes in mathematics
Direct formula for Pi: The Squaring Pi. ||| The pyramids of Squaring Pi. ||| Functions of Pi ||| Integration formulas Pi.
Squaring the Circle
Spherical molecules. ||| Genetic Heredity. ||| Metaphysics: Spanish only. ||| Brain and Consciousness. ||| Type of Genes T and D
Certainty Principle ||| From the Schrodinger cat to the Ferman's birds ||| The meaning of Dreams
Freely economy ||| Theoricles of Alexandria ||| Satire on the Quantum Mechanics
Andalusian Roof Tile. ||| Rotary Engine. ||| Water motors: Vaporization engines.
Triangular ferman's Houses .||| The fringed forest
Garbage Triangle: Quantum mechanics, Relativity, Standard theory
Fables and tales of the relativists clocks.||| Nuclei of galaxies.||| Particles accelerators.
Hydrocarbons, water and vital principles on the Earth. ||| Cosmos formula : Metaphysics
Ubiquity Principle of set.||| Positive electric charges reside in orbits.
Chaos Fecundity. Symbiosis: from the Chaos to the Evolution.||| Speed-Chords in galaxies.
Who is God
Ubiquity Principle of Set.
No physical element can be included twice or more in the same set.
Although any element can belong to several set.
This way, if we observe two or more equal elements inside a set, this mean that these aren't the same element, but several similar ones.
As we can see, the number could not be considered as physical elements, but alone as abstract and operative quantities.
But more correctly, we say that any number represents to diffent physical elements or quantities, although it has the same mathematical value. This way, the same number can be included two or more time in the same set,
A ( 5, 4, 7, 4, 5)But not when they are representative of the same elements.
A (5 apples, 3 carrots, 5 apples).
If we include two times to the 5 apples, these immediately say us that these are really 10 different apples, forming two sub-sets of 5 apples each one.
In this sense I think that the current set theory has lacks and contradictions not suitable with a good mathematical set theory.
Let us give an example:
Given a set, which could represent to my accompany pets. Say, a dog, a cat, two hens and a parrot.
A (dog, cat, 2 hens, parrot) = (dog, cat, hen, hen, parrot)
In this case, the Ubiquity Principle tells us that we cannot include the cat twice in my set of company animals, because alone I have a cat.
Also, this tells us that if I have two hens it is because they are TWO animals of the same class, and of course, they are not the same hen.
In the same way, if I have a basket with fruit consistent in the following set:
A (basket, apple, pear, banana, pear, apple, apple, pear, banana)
This set says us that I have: A basket with 3 apples, 3 pears and 2 bananas.
But the current theory says us that I have: A basket, 1 apple, 1 pear, and 1 banana. And this proposal is incorrect.
*** From my Physical and mathematical sets theory.