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Pythagoras
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What is Pythagoras?

Pythagoras was an ancient Greek philosopher and mathematician whose ideas have made him a recurring subject across disciplines including history of science, philosophy, mathematics, music theory, and art history. Students encounter him in courses ranging from geometry to Western intellectual history, where his influence on early Greek thought, number theory, and the relationship between mathematics and the natural world raises genuinely complex questions. His teachings on the soul, harmony, and the nature of reality position him at the intersection of rational inquiry and mystical tradition, making him a rich subject for academic analysis.

The papers archived on this topic approach Pythagoras from several distinct angles. Art history essays frequently analyze Raphael's School of Athens as a visual expression of classical philosophy, examining how Pythagoras is represented among history's great thinkers. Other papers take a historical approach, tracing his contributions within broader narratives of the scientific method or the development of mathematics. Some essays explore numerology in music, reflecting the Pythagorean view of number as foundational to harmony, while others situate his teachings within discussions of the human soul, early religious thought, and even the history of measurement.

A strong essay on Pythagoras requires a focused thesis rather than a broad biographical survey. The most effective papers connect his mathematical ideas or philosophical teachings to a specific context — a period, a discipline, or a cultural artifact like a painting or musical tradition. Primary and secondary historical sources carry the most weight as evidence. A common pitfall is treating the Pythagorean theorem as his only significant contribution while overlooking the philosophical dimensions of his thought that made him influential well beyond mathematics.

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Paper Undergraduate
Ramachandran's theory of neuroaesthetics and universal laws of art
Ramachandran's Theory of Neuroaesthetics: A Reaction
Research Paper Doctorate
Apprenticeship with Domenico Ghirlandaio in Renaissance Florence
Italian Renaissance don't know where I got my passion for drawing. It certainly wasn't from my father: he never enjoyed art and thought that artists were only a waste of somebody else's time.
Paper High School
Galileo's scientific method and its relevance to modern math education
Butts, R.E. (2001). Galileo. In W.H. Newton-Smith (Author), a companion to the philosophy of science (pp. 149-152). Malden, MA: Blackwell Pub.
Research Paper Undergraduate
Main themes and schools in Pre-Socratic philosophy
Pre-Socratic Philosophy: What are some of the main themes of the Pre-Socratics?
Research Paper Doctorate
Collingwood's analysis of Greek, Renaissance, and modern cosmological thought
In his book, The Idea of Nature, Collingwood analyzes the principle characteristics of three periods of cosmological thinking in the history of European thought: Greek, Renaissance, and the Modern.
Paper Undergraduate
Hellenistic rhetorical strategies for accommodating Roman imperial rule
The gradual "Romanization" of the Hellenistic world is attested to solidly by material culture: architectural, archeological and numismatic evidence abounds to show that the Romans would have a real and substantial…
Research Paper Doctorate
Egyptian hieroglyphics and ancient symbols in surface pattern design history
¶ … Egyptian Hieroglyphics and Other Ancient Symbols on 18th, 19th and 20th Century Surface Pattern Design and Their Influences on Contemporary Design
Research Paper Doctorate
Euclid of Alexandria and his mathematical Elements
Euclid of Alexandria: 325 B.C. ~ 265 B.C. (?)
Research Paper Doctorate
Plato's integration of Parmenidean and Heraclitean philosophy in the Parmenides dialogue
Parmenides is one of Plato's most important dialogues, according to both ancient and modern scholars, and focuses on the critique of the theory of forms, based on the influence of pre-Socratic thinkers such as…
Paper Doctorate
Dream content as a therapeutic approach: medication and suggestion effects
Clinical Psychology Dissertation - Dream Content as a Therapeutic Approach: Ego Gratification vs. Repressed Feelings