Paradoxes in mathematics (sets)

* Definition *

* Intersections of sets *

Of ferman: Fernando Mancebo Rodriguez---
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Macro Microcosm, the same thing.

Fourth dimension of space.|||
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Da: Average density of energy in the cosmos

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Radial coordinates.|||
Physical and mathematical sets theory. | Algebraic product of sets.

Planar angles: Trimetry.|||
Fractions: natural portions.|||
Cosmic spiral |||
Inverse values of parameters and operation

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 |||
The floating point index |||
Paradoxes in mathematics

Direct formula for Pi: The Squaring Pi. |||
The pyramids of Squaring Pi. |||
Functions of Pi |||
Integration formulas Pi.

Squaring the Circle |||
Cocktail formula for Squaring Pi.|||
Orbital coordinates in motion: Summary

Oscillating function: Cartesian oscillators |||
The ciclo as unit of angular speed |||
Squaring circles ruler and compass |||

Video: Squaring circles ruler and compass |||
The number Phi and the circumference.speed |||

The The extended Pi |||
Angles trisection|||
Squaring the Circle regarding Phi|||
Video of the two squares method

Discusion about the Pi as transcendental number|||:
Not transcendental Pi|||
The chained sets|||

Properties of equalities in limits|||
The Phi right triangles |||
Pi and the Circumscription Theorem

Pi triangle by squaring the circle :
Vedeo Pi triangle |||
Squaring Pi demonstration by circumscription Theorem LatexPdf

Doubling the cube |||
Framing the circle |||
Phi and Pi: relation formula

Squaring circle with Phi (to 0.000005 of ideal ruler and compass)|||
Sbits: Static and dinamic orbital coordinates

Squaring Pi and the Floating Point

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Type of Genes T and D

Certainty Principle |||
From the Schrodinger cat to the Ferman's birds |||
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Theoricles of Alexandria |||
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Satire on the Quantum Mechanics

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The Emperor's new clothes and the QM |||
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.

The ancient planets Asteron and Poseidon.|||
The man and the testosterone.|||
Toros say |||
The essence of life

Chaos + symbiosis = evolution |||
Future Cosmology: Satire on Relativity and Quantum Mechanics

The stupid tale of the astronaut that did not age |||
Summary of Ferman cosmic vision and models

Climate due to human activity |||
Humans as herd animals

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Video Universal Consciousness|||
Who is God |||
Faces of God |||
Web Universal consciousness

Creation: Highlights|||
First steps in metaphysics |||
A personal experience

Reason for the Cosmos' creation |||
The essence of life |||
Cosmic Entity: Metaphysics and Physics parameters

Email: ferman30@yahoo.es

* Paradoxes in mathematics *

Intersection of antagonist or contradictory sets.

Definition of Set-paradox:

In mathematics (set of elements) we can define paradox as the intersection of two or more antagonist or contradictory sets in which the elements that compose the intersection have antagonist properties and characteristics, and for this reason, the result is that they are annulled, weakened or form indefinite loopsThe antagonism and disparity of inverse properties that these elements of intersection have create also disparity of solution that go from the total annulment, relaxation, birth of hybrid elements, circular loops, etc., all this depending of the diversity of properties that the set of elements have.

Examples

1.- Given two sets A (integer numbers) and B (fractions of special units)The intersection would be a fraction of units that at the same time is an integer number, as for example can be half-dozen that at the same time are 6 elements. 2,. Pendulum:

Given two sets, A (balls that have left motion) and B (balls that have right motion).

Their intersection would be a ball that is subjected to the both directions of motion, as can be the pendulum, which can be considered as a paradox of the right/left motion. 3.- Given two sets A (empty bottles) and B (stuffed bottles)

Their intersection would be a bottle half-stuff and half-empty, being this a paradox regarding to the concepts of full and empty

4.- In the class-room the teacher says:

Please, the ones of Spanish language go to right side; and the ones of French language must to situate to the left side;

But Mary learns both Spanish and French. Then what does she do?

Paradox of the barber.

In a far Arab Emirate, and for lacking of barbers, the Emir emitted an edict by which the barbers alone could shave to those who could not shave by themselves.

Although in a little village alone a barber existed, All Shamet, the one that due to the edict of the Emir and starting from then, alone could shave to those who could not shave by themselves.

This Emir order impedes that he could shave itself because he knew to do it.

But much more, not one barber could shave to other barber due to any barbers know shaving; neither they could save themselves due to Emir's edict didn't allow.

The barber Shamet belongs to the C set that is intersection of the C and A sets (or C subset of A).

In this case, when belongs to the set A, he could shave to itself; but when belongs also to the set C, he has not allowed to make it.

All this represent a paradox, and it is due an intersection between two contradictory sets, A and C exists.

Or said in other way, an intersection among contradictory properties of sets exists, and so a set-paradox exists.