Combining Texts

All the ideas for 'teaching', 'works' and 'Change in View: Principles of Reasoning'

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22 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]
2. Reason / A. Nature of Reason / 1. On Reason
19306 It is a principle of reasoning not to clutter your mind with trivialities [Harman]
19304 The rules of reasoning are not the rules of logic [Harman]
19307 If there is a great cost to avoiding inconsistency, we learn to reason our way around it [Harman]
19309 Logic has little relevance to reasoning, except when logical conclusions are immediate [Harman]
2. Reason / A. Nature of Reason / 4. Aims of Reason
19303 Implication just accumulates conclusions, but inference may also revise our views [Harman]
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]
10. Modality / B. Possibility / 6. Probability
19305 The Gambler's Fallacy (ten blacks, so red is due) overemphasises the early part of a sequence [Harman]
19310 High probability premises need not imply high probability conclusions [Harman]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
10994 Conditionals are true if minimal revision of the antecedent verifies the consequent [Stalnaker, by Read]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
19308 We strongly desire to believe what is true, even though logic does not require it [Harman]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
19311 In revision of belief, we need to keep track of justifications for foundations, but not for coherence [Harman]
19312 Coherence is intelligible connections, especially one element explaining another [Harman]
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 / 4. Mathematical Nature
375 When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
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]
644 For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
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]