Paradoxes in mathematics (sets)
Definition
Intersections of sets
Of ferman: Fernando Mancebo Rodriguez--- Personal page. ----Spanish pages

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Video: Cosmic and atomic model
Double slit and camera obscura experiments: ferman experiment ||| Type of Waves: Questions of Quantum Mechanics
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Chart of atomic measures||| The main foundations of the Cosmos' Structure ||| Unstable particles in accelerators
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Inexactness principle in observations ||| Einstein and the gravity ||| The Universal Motion ||| Atomic particles
Cosmic Geometry ||| Bipolar electronic: semiconductors ||| Multiverse or multi-worlds||| Light and photons
Quantum explanation of Gravity ||| Real physics versus virtual physics ||| The window experiment
Atomic Density ||| Linkin: Coeficients Lcf Mcf ||| Atomic nuclei structuring: Short summary
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Interesting and short life of neutrons ||| Leptons field ||| Macro Microcosm, the same thing.
Fourth dimension of space.||| The way to get a unity theory||| UHECR Ultra-high-energy-cosmic-rays
Magnetic or entropy forces: types or classes||| Time observation and time emission ||| The universe expansion
Planetary Mechanics : Short summary ||| Easy explanation of the Planetary model||| State and type of Particles
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Current state of cosmology ||| Electromagnetic charges: reason and procedure ||| Neutron: The short and interesting life of
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Certainty Principle: easy explanation ||| Certainty Principle and the Schrodinger's Cat ||| Wave function collapse
Relativity versus QM ||| The non-curvature of space by matter ||| The Master Clock
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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
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Squaring circle with Phi (to 0.000005 of ideal ruler and compass)
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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
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Creation: Highlights||| First steps in metaphysics ||| A personal experience
Reason for the Cosmos' creation

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Paradoxes in mathematics
Intersection of antagonist or contradictory sets.

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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 loops

The 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

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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.

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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.

As we see, to this case we can study it as an intersection of two set A (men that know shave themselves) and C (barbers, which cannot shave to those that know make it by themselves.)
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.

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