Combining Texts

All the ideas for 'fragments/reports', 'A Thousand Small Sanities' and 'Mathematics without Foundations'

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27 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]
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
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]
Modern left-wingers criticise liberalism's control of culture [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]