Combining Texts

All the ideas for 'teaching', 'Can Mechanisms Replace Laws of Nature?' and 'Intuitionism: an Introduction'

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23 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
5896 Speak the truth, for this alone deifies man [Pythagoras, by Porphyry]
1. Philosophy / B. History of Ideas / 2. Ancient Thought
3051 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
7485 For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
8754 Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
12790 Generalisations must be invariant to explain anything [Leuridan]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
12789 Biological functions are explained by disposition, or by causal role [Leuridan]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
14386 Mechanisms are ontologically dependent on regularities [Leuridan]
12787 Mechanisms can't explain on their own, as their models rest on pragmatic regularities [Leuridan]
14384 We can show that regularities and pragmatic laws are more basic than mechanisms [Leuridan]
14388 Mechanisms must produce macro-level regularities, but that needs micro-level regularities [Leuridan]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
14389 There is nothing wrong with an infinite regress of mechanisms and regularities [Leuridan]
22. Metaethics / B. Value / 2. Values / d. Health
3053 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
5244 For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
14387 Rather than dispositions, functions may be the element that brought a thing into existence [Leuridan]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
644 For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
638 Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle]
553 Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle]
554 Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle]
375 When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
14382 Pragmatic laws allow prediction and explanation, to the extent that reality is stable [Leuridan]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
14385 Strict regularities are rarely discovered in life sciences [Leuridan]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
14383 A 'law of nature' is just a regularity, not some entity that causes the regularity [Leuridan]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
7467 The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson]