Manifesto for Resolving Paradoxes /translation and formatting done by AI/

[Huseyn]

Author: Huseyn Gurbanov

I. The Nature of Paradox A paradox arises not from reality itself, but from confusion in defining the relationship between concepts.

II. The Law of Positional Dependence Every concept exists either as leading or following.

• The leading defines, sets the frame.
• The following depends, reflects, obeys. A paradox is an illusion born when this dependence is ignored.

III. The Universal Key To resolve a paradox, ask:

• What is leading?
• What is following? Once the position is clear, the contradiction dissolves.

IV. Examples

• Chicken and Egg: chicken is leading, egg is following → chicken is primary.
• Achilles and the Tortoise: Achilles’ movement is leading, tortoise’s marks are following → Achilles catches up.
• Ship of Theseus: identity is leading, parts are following → the ship remains itself.
• Schrödinger’s Cat: observation is leading, state of the cat is following → paradox disappears.
• Arrow of Zeno: movement is leading, moment of time is following → the arrow moves.

V. Meaning This method is not only philosophical. It applies to science, ethics, logic, artificial intelligence. It teaches us to see order where chaos seems to reign.

VI. Conclusion A paradox is not the enemy of reason, but its trial. Resolving a paradox means restoring the proper order of concepts. Truth is clarity of position.

Table of Paradoxes (English Version)

Paradox	Formulation	Leading Concept	Following Concept	Resolution
Chicken and Egg	“Which came first?”	Chicken	Egg	Egg depends on chicken → chicken is primary.
Achilles and the Tortoise	Achilles never catches the tortoise	Achilles’ movement	Tortoise’s marks	Movement is positional → Achilles catches up.
Liar Paradox	“This statement is false”	Truth	Statement	Statement cannot define its own truth → outside the system.
Ship of Theseus	Replace all parts: is it the same ship?	Identity	Material parts	Identity defines the object → ship remains itself.
Zeno’s Arrow	At each moment the arrow is still	Movement as process	Moment of time	Movement is defined by process → arrow moves.
Crocodile Paradox	Crocodile promises return if father guesses correctly	Crocodile’s action	Father’s prediction	Prediction depends on action → paradox dissolves.
Schrödinger’s Cat	Cat is both alive and dead until observed	Observation	Cat’s state	State depends on observation → paradox disappears.
Artificial Intelligence	Autonomy vs human control	System’s goal	Degree of autonomy	Autonomy depends on goal → AI is autonomous only within defined purpose.
Time Travel	Traveler kills grandfather before birth	Line of causality	Traveler’s action	Action depends on causality → cannot break the leading structure.