Combining Philosophers

All the ideas for Rayo,A/Uzquiasno,G, Adam Gopnik and Georg Kreisel

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28 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Most good social changes are incremental, rather than revolutionary [Gopnik]
24. Political Theory / D. Ideologies / 3. Conservatism
Conservatives often want peace, prosperity and tolerance, but not social fairness [Gopnik]
Conservatives believe obedience and rank are essential to social order [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
The opposite of liberalism is dogmatism [Gopnik]
People are fallible, so liberalism tries to distribute power [Gopnik]
Liberals have tried very hard to build a conscience into their institutions [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Left-wingers are inconsistent in their essentialist descriptions of social groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Liberal community is not blood ties or tradition, but shared choices, and sympathy for the losers [Gopnik]
Liberal community includes flight from the family, into energetic reforming groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Modern left-wingers criticise liberalism's control of culture [Gopnik]
Right-wingers attack liberal faith in reason, left-wingers attack its faith in reform [Gopnik]
Cosmopolitan liberals lack national loyalty, and welcome excessive immigration [Gopnik]
Liberalism's attempt to be neutral and colour-blind erases cultural identities [Gopnik]
24. Political Theory / D. Ideologies / 9. Communism
Classic Marxists see liberalism as the ideology of the bourgeoisie [Gopnik]
24. Political Theory / D. Ideologies / 11. Capitalism
Environmental disasters result not from capitalism, but from a general drive for growth [Gopnik]
24. Political Theory / D. Ideologies / 14. Nationalism
Popular imperialism gives the poor the belief that their acts have world historical meaning [Gopnik]
Patriots love their place, but nationalists have a paranoid ethnic hostility [Gopnik]
25. Social Practice / A. Freedoms / 3. Free speech
Liberal free speech is actually paid speech [Gopnik]
25. Social Practice / A. Freedoms / 4. Free market
A 'free' society implies a free market, which always produces predatory capitalism and inequalities [Gopnik]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]