Combining Philosophers

All the ideas for Pythagoras, William Whewell and Aristippus the younger

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20 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Speak the truth, for this alone deifies man [Pythagoras, by Porphyry]
1. Philosophy / B. History of Ideas / 2. Ancient Thought
Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
7. Existence / D. Theories of Reality / 4. Anti-realism
For the Cyrenaics experience was not enough to give certainty about reality [Aristippus young, by Plutarch]
14. Science / D. Explanation / 2. Types of Explanation / d. Consilience
Consilience is a common groundwork of explanation [Whewell]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Even the foolish may have some virtues [Aristippus young, by Diog. Laertius]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Actions are influenced by circumstances, so Cyrenaics say felons should be reformed, not hated [Aristippus young, by Diog. Laertius]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Cyrenaics teach that honour, justice and shame are all based on custom and fashion [Aristippus young, by Diog. Laertius]
22. Metaethics / B. Value / 2. Values / d. Health
Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius]
23. Ethics / A. Egoism / 1. Ethical Egoism
For a Cyrenaic no one is of equal importance to himself [Aristippus young, by Diog. Laertius]
23. Ethics / A. Egoism / 3. Cyrenaic School
No one pleasure is different from or more pleasant than another [Aristippus young, by Diog. Laertius]
The Cyrenaics asserted that corporeal pleasures were superior to mental ones [Aristippus young, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
Cyrenaics say wise men are self-sufficient, needing no friends [Aristippus young, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle]
For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle]
Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson]