Philosophy of Symmetry


Abraham Solomonick, PhD – Pedagogy, Retired from the Ministry of Education, Israel

Series: World Philosophy
BISAC: PHI000000; PHI018000; SCI090000

Symmetry permeates our existence from end to end. It was born in space and on Earth long before the emergence of human civilization – the Solar system is proof of this. After man began conscious existence, he became imbued with natural symmetry in space and time. He also began to create symmetrically arranged things in his environment and events in his behavior. In the end, symmetry has become integral to human life, society, and our consciousness.

This book promotes a whole range of problems associated with symmetry in many of its manifestations. Two types of symmetry are central.

1) Natural symmetry of the arrangement of identical elements on both sides of the central axis of some object. This symmetry pleases the eye and pacifies our sense of beauty. It is manifested in the structure of the body of living beings, in the structure of plant leaves, in the architecture of classical buildings, etc.

2) The second type of symmetry is completely opposite to the first. It is expressed in the mirror opposition of two interconnected bodies. They contradict and at the same time complement each other, which leads to their continuation. Such is the cooperation of the two sexes, leading to the emergence of new generations. Such is also the competition in most of its manifestations; it requires exactly this kind of symmetry in order to solve the problems about which they dispute.

Many other symmetries develop around these two directions. They are also described in the book.

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Table of Contents


General Propositions
Chapter 1. Several Initial Postulates
Chapter 2. Asymmetry, Symmetry and Supersymmetry
Chapter 3. Transsymmetry
Chapter 4. Changes in the Standard Model
Chapter 5. The Tension of the Empty Space
Chapter 6. The Standard Model, Supersymmetry and Transsymmetry in Human Metathinking
Chapter 7. Symmetry and Harmony as Components of Symmetric Constructions

Symmetry in Particular Sciences
Chapter 8. Symmetry and Supersymmetry in Geometry
Chapter 9. Symmetry and its Prolongations in Writing
Chapter 10. Symmetry and Supersymmetry in Cartography

Chapter 11. Symmetries within the Parameters of One Idea
Chapter 12. Symmetries in Different Sets of the Matter
Chapter 13. Symmetries After Reaching Standard Model
Chapter 14. About Compositional Symmetry in Sign Systems

List of the Symmetry Terms Used in the Book
Symmetry – balanced and proportioned disposition in space, time or meaning of two or more things/events.
Space Symmetry – predominately of natural origin.
Time Symmetry – predominately of natural origin.
Compositional Symmetry – exclusively of human origin.
Symmetry of Rest and Satisfaction (when we try to satisfy our sense of equanimity) ↔ Symmetry of Dynamics and Change (when we try to overcome the imbalance in related things/events).
Supersymmetry – continuation of the existing standard model, substantially deviating from it.
Transsymmetry – symmetry between a given thing/event and other things/events being in contact with the first one.
Symmetry Open to Perception – symmetry deliberately emphasized on the outer shell of objects. ↔ Symmetry Hidden from Direct Perception – symmetry hidden from our senses, which takes on the disclosure of the real content of things/events.
Asymmetry → Symmetry → Supersymmetry – three stages of symmetry in the cognition of people, gradually replacing each other.
Standard Model of Symmetry – a well-established understanding of a particular thing/event in public opinion.
Standard Model in Exact Sciences
Standard Model in Inexact Sciences
Symmetry → Harmony = the highest stage of symmetry impression, turning into admiration.
Symmetry ↔ Functionality – a combination between the ideal construction of a thing/event and its functional purpose, which hinders the achievement of the ideal.


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