Combining Texts

All the ideas for 'Science and Method', 'Capitalism and Community' and 'What is Cantor's Continuum Problem?'

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12 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
24. Political Theory / D. Ideologies / 11. Capitalism
Capitalism may actually be the best way to foster community [Conway,D]
Capitalism is just the market, with optional limited government, and perhaps democracy [Conway,D]
Capitalism breaks up extended families, and must then provide welfare for the lonely people [Conway,D]
Capitalism prefers representative democracy, which avoids community decision-making [Conway,D]
Capitalism is anti-community, by only valuing individuals, and breaking up families [Conway,D]