Seeing Life with Old Geoms. & Philos.

Geometry plays a fundamental role in education, everyday life, and various professional fields, making it an essential subject to study and understand. It is one of the oldest branches of mathematics and serves as the foundation for many mathematical concepts. Pythagoras and Euclid have both played crucial roles in shaping the mathematical knowledge of their time and subsequent eras. This includes contributions to geometry and ‘elements’ in mathematics.

Ordered bookshelf
Rustic bookshelf

Influence of math
In the classical antiquity era, philosophers like Pythagoras and Plato shared the view that geometry revealed fundamental truths about the universe and the nature of reality. They ascertained geometrical principles to explore abstract concepts such as beauty, symmetry, and harmony, which were thought of as essential elements of the cosmos. The Greeks used geometry to construct and erect impressive structures like temples, theaters, and stadiums with marvelous precision and beauty.

To look at this with a lens, we must consider ‘Logic’. Logic is a set of rules to govern the language of math. Originally, there was formal logic, which had evolved into symbolic logic. Modern symbolic logic is used by some modern philosophers to analyze philosophical arguments. Mathematical logic is a mathematical discipline where symbolic logic is applied to mathematics itself to analyze mathematical concepts, arguments (proofs) and theories.

Life in geometry
Geometry supports numerous practical applications in everyday life. Its study has helped improve spatial visualization skills, allowing people to mentally manipulate objects, interpret maps and diagrams, and explain three-dimensional shapes. These skills are not only a part of the world of mathematics but also branch into fields such as engineering, medicine, and geography.

This is a universal design language of the cosmos, an ancient science which delves into the energy patterns which form and unify all things. It presents the precise manner the energy of Creation organizes itself, from galaxy spirals, to intricate designs of a snowflake. This mathematical framework is visible across art, architecture, and also in the very design of life itself, including our DNA. Examples of Sacred Geometry include the Egg of Life, The Vesica Piscis and the Torus.

And... How can I see it for myself?
Immersive art experiences use geometry to create intricate patterns and structures, offering captivating and interactive environments. These experiences, seen in works like Frameless’s Composition by László Moholy-Nagy (1895-1946) and The Dream by Henri Rousseau (1844–1910), allow individuals to escape everyday reality. Why not give it ago?




Resources
(Paper) Diagrams in the Logic of Euclidean Geometry
Nathaniel Miller delves into the historical significance of diagrams within Euclidean Geometry. The research discusses on its evolution and a formal system for effectively working with it. 

Johan van Benthem, a distinguished logician, has made significant contributions to various fields. The paper break into Modal Logic, Philosophy of Science, Language and Logic, and Dynamic Logic and Game Theory.

(Article) Sacred Geometry Art, Symbols & Meanings
This ancient discipline explores the intricate patterns and symbolism inherent in geometric shapes.


Last updated: 29/10/2024

Share this:

3 comments:

Victoria Prasad said...

Such a thought-provoking article! I agree Geometry certainly has played a vital role in many things.

Alina said...

I enjoyed the post! I always thought geometry originated in Greece, but I learned it was actually first used in Egypt.

Susan Whited said...

I struggled with Geometry in high school, but as an adult, I’m amazed at how often I use it in everyday life.