Combining Texts

All the ideas for 'Nihilism without Self-Contradiction', 'Remarks on axiomatised set theory' and 'Representative Government'

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11 ideas

2. Reason / F. Fallacies / 7. Ad Hominem
We should always apply someone's theory of meaning to their own utterances [Liggins]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
How people vote should be on public record, so they can be held accountable [Mill, by Wolff,J]
Voting is a strict duty, like jury service, and must only be aimed at the public good [Mill]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Direct democracy is inexperience judging experience, and ignorance judging knowledge [Mill]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
People can only participate in decisions in small communities, so representatives are needed [Mill]