Combining Texts

All the ideas for 'teaching', 'Two Chief World Systems' and 'Discourse on Metaphysics'

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25 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]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Reason avoids multiplying hypotheses or principles [Leibniz]
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]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
The immediate cause of movements is more real [than geometry] [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
The complete notion of a substance implies all of its predicates or attributes [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances mirror God or the universe, each from its own viewpoint [Leibniz]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
Forms are of no value in physics, but are indispensable in metaphysics [Leibniz]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Subjects include predicates, so full understanding of subjects reveals all the predicates [Leibniz]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
Leibniz is some form of haecceitist [Leibniz, by Cover/O'Leary-Hawthorne]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Knowledge doesn't just come from the senses; we know the self, substance, identity, being etc. [Leibniz]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
If a person's memories became totally those of the King of China, he would be the King of China [Leibniz]
16. Persons / F. Free Will / 1. Nature of Free Will
Future contingent events are certain, because God foresees them, but that doesn't make them necessary [Leibniz]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
People argue for God's free will, but it isn't needed if God acts in perfection following supreme reason [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
Mind and body can't influence one another, but God wouldn't intervene in the daily routine [Leibniz]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
Animals lack morality because they lack self-reflection [Leibniz]
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 / C. Virtue Theory / 3. Virtues / c. Justice
For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
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]
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]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson]