Ideas from 'teaching' by Pythagoras [530 BCE], by Theme Structure

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1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Speak the truth, for this alone deifies man [Porphyry]
1. Philosophy / B. History of Ideas / 2. Ancient Thought
Pythagoras discovered the numerical relation of sounds on a string [Diog. Laertius]
6. Mathematics / A. Nature of Mathematics / 3. Numbers / m. One
For Pythagoreans 'one' is not a number, but the foundation of numbers [Watson]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Pythagoras taught that virtue is harmony, and health, and universal good, and God [Diog. Laertius]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
For Pythagoreans, justice is simply treating all people the same [Aristotle]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Pythagoreans define timeliness, justice and marriage in terms of numbers [Aristotle]
For Pythagoreans the entire universe is made of numbers [Aristotle]
Pythagoreans think mathematical principles are the principles of all of nature [Aristotle]
Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Aristotle]
When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Plato]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The modern idea of an immortal soul was largely created by Pythagoras [Watson]