Combining Texts

All the ideas for 'fragments/reports', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'Political Ideals'

expand these ideas     |    start again     |     specify just one area for these texts


23 ideas

5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Individuals need creativity, reverence for others, and self-respect [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
We would not want UK affairs to be settled by a world parliament [Russell]
Democracy is inadequate without a great deal of devolution [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchy does not maximise liberty [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Groups should be autonomous, with a neutral authority as arbitrator [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Unfortunately ordinary voters can't detect insincerity [Russell]
On every new question the majority is always wrong at first [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
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
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
We need security and liberty, and then encouragement of creativity [Russell]
25. Social Practice / C. Rights / 4. Property rights
The right to own land gives a legal right to a permanent income [Russell]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
That our heaven is a dull place reflects the misery of excessive work in life [Russell]