Astronomical Knowledge in the Ancient World
Exploring the history and evolution of astronomical knowledge in the ancient world, its social, cultural, and technological context, and how it laid the foundation for Western astronomy.
Posts
The Reception and Revival of Euclid's Geometry
A comprehensive treatise on geometry that has had a profound impact on mathematics and science for centuries.
Theoretical Pursuits: A Historical Examination
A historical examination of the development of theoretical pursuits in mathematics, exploring how abstract concepts found significance in various fields.
The Foundations of Geometry: Euclid's Elements
Euclid's Elements, written around 300 B.C., presents a comprehensive treatise on geometry that has had a profound impact on mathematics, science, and philosophy.
A Mathematical Exploration: The Method of Exhaustion and its Limitations
A mathematical technique used to find areas and perimeters by inscribing and circumscribing polygons with increasing sides, developed by ancient Greeks like Archimedes.
A Precise Calculation: The Method of Exhaustion and Its Significance
A mathematical technique developed by Eudoxus and refined by Archimedes that enabled precise calculations of areas and volumes, anticipating integral calculus.
The Geometrical Theory of Proportion: A New Foundation for Mathematics
A detailed history of the geometrical theory of proportion, its development by Eudoxus, and its lasting impact on mathematics.
The Development of Irrational Numbers: A Philosophical Exploration
A philosophical exploration of the development of irrational numbers, from ancient Greek mathematicians to their impact on mathematics and reality.
A Foundational Theorem in Ancient Greek Mathematics
A foundational theorem in Ancient Greek mathematics, exploring its historical context, key terms and concepts, and mechanisms and processes.
The Discovery of Irrational Numbers: A Historical Analysis
A historical analysis of the discovery of irrational numbers, exploring ancient civilizations' contributions to mathematics and the significance of irrational numbers in the natural world.
The Origins of Mathematical Inquiry
An in-depth study of the origins of mathematical inquiry, exploring its history, key figures, and contributions.
The Intersection of Mathematics and Greek Philosophy
Exploring how the Greeks' emphasis on mathematics influenced their philosophical thought, and its lasting impact on Western philosophy.
Aristotelian Physics vs. Newton's Laws
Aristotelian physics vs. Newton's laws, exploring key differences between teleology and mathematical principles.
Astronomical Revolutions: Overcoming Aristotelian Obstacles
Astronomers in the 17th century challenged Aristotle's sublunar theory by discovering comets orbit around the Sun and developing new understandings of celestial motion.
Aristotelian Cosmology: The Sublunar and Supralunar Realms
Aristotle's cosmology in On the Heavens explains the sublunar and supralunar realms, distinguishing between terrestrial elements and celestial bodies.
Aristotle's Conception of Time
A comprehensive analysis of Aristotle's philosophical work on time, exploring its development, key concepts, and implications for human experience.
The Concept of Motion: A Philosophical Exploration
Exploring the concept of motion through philosophical perspectives on potentiality, relativity, and perception.
The Nature of Teleology: Understanding Aristotle's Concept
Aristotle's concept of teleology has been influential in shaping Western thought, exploring the relationship between purposes, goals, and natural processes.
The Concept of Phusis in Aristotle's Physics
Aristotle's concept of phusis explores the internal principle of motion that governs growth and development in living things, with implications for understanding natural phenomena and the relationships between form, matter, potentiality, and actualization.
The Heavenly Bodies and the Concept of Divine Will
Ancient Greek philosophers debated the nature and origin of the universe, proposing explanations for celestial motions that often attributed them to divine forces or natural laws.