Combining Texts

All the ideas for 'teaching', 'Reflections on Liberty and Social Oppression' and 'The Foundations of Mathematics'

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29 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]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13430 Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
13428 Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13427 Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
13334 Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
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
13426 Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
13425 Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
22328 I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
22325 A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
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 / A. Egoism / 1. Ethical Egoism
23865 Morality would improve if people could pursue private interests [Weil]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
5244 For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
24. Political Theory / C. Ruling a State / 1. Social Power
23866 In oppressive societies the scope of actual control is extended by a religion of power [Weil]
24. Political Theory / C. Ruling a State / 4. Changing the State / a. Centralisation
23871 No central authority can initiate decentralisation [Weil]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
23867 After a bloody revolution the group which already had the power comes to the fore [Weil]
24. Political Theory / D. Ideologies / 2. Anarchism
23870 Decentralisation is only possible by co-operation between strong and weak - which is absurd [Weil]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
23863 Only individual people of good will can achieve social progress [Weil]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
23869 In the least evil societies people can think, control community life, and be autonomous [Weil]
24. Political Theory / D. Ideologies / 11. Capitalism
23861 Marx showed that capitalist oppression, because of competition, is unstoppable [Weil]
25. Social Practice / A. Freedoms / 1. Slavery
23868 The pleasure of completing tasks motivates just as well as the whip of slavery [Weil]
25. Social Practice / B. Equalities / 4. Economic equality
23864 Inequality could easily be mitigated, if it were not for the struggle for power [Weil]
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]