Combining Texts

All the ideas for 'fragments/reports', 'Sets and Numbers' and 'The Fourth Revolution'

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15 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Sets exist where their elements are, but numbers are more like universals [Maddy]
Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
24. Political Theory / D. Ideologies / 8. Socialism
The welfare state aims at freedom from want, and equality of opportunity [Micklethwait/Wooldridge]
24. Political Theory / D. Ideologies / 9. Communism
For communists history is driven by the proletariat [Micklethwait/Wooldridge]
24. Political Theory / D. Ideologies / 11. Capitalism
Fans of economic freedom claim that capitalism is self-correcting [Micklethwait/Wooldridge]
25. Social Practice / C. Rights / 4. Property rights
Roman law entrenched property rights [Micklethwait/Wooldridge]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]