Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Political Ideals' and 'The Philosophy of Mathematics'

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22 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
21959 Metaphysics is the most general attempt to make sense of things [Moore,AW]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9193 ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
9194 The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
21495 Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9195 Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186 First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9187 Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
9191 Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
9192 The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
21958 Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
21517 Individuals need creativity, reverence for others, and self-respect [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
21523 We would not want UK affairs to be settled by a world parliament [Russell]
21522 Democracy is inadequate without a great deal of devolution [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
21521 Anarchy does not maximise liberty [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
21528 Groups should be autonomous, with a neutral authority as arbitrator [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
21527 On every new question the majority is always wrong at first [Russell]
21526 Unfortunately ordinary voters can't detect insincerity [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
21525 When the state is the only employer, there is no refuge from the prejudices of other people [Russell]
24. Political Theory / D. Ideologies / 11. Capitalism
21518 Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
21519 We need security and liberty, and then encouragement of creativity [Russell]
25. Social Practice / C. Rights / 4. Property rights
21524 The right to own land gives a legal right to a permanent income [Russell]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
21520 That our heaven is a dull place reflects the misery of excessive work in life [Russell]