Combining Texts

All the ideas for 'Defending the Axioms', 'talk' and 'Capitalism and Community'

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13 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
24. Political Theory / B. Nature of a State / 5. Culture
Culture is the struggle to agree what is normal [Gibson,A]
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 prefers representative democracy, which avoids community decision-making [Conway,D]
Capitalism breaks up extended families, and must then provide welfare for the lonely people [Conway,D]
Capitalism is anti-community, by only valuing individuals, and breaking up families [Conway,D]