Combining Texts

All the ideas for 'Defending the Axioms', 'How to be a Liberal' and 'Without Immediate Justification'

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17 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 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
17620 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
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 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
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
8851 Coherentists say that regress problems are assuming 'linear' justification [Williams,M]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
8849 Traditional foundationalism is radically internalist [Williams,M]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
8853 Basic judgements are immune from error because they have no content [Williams,M]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
8855 Sensory experience may be fixed, but it can still be misdescribed [Williams,M]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
8852 In the context of scepticism, externalism does not seem to be an option [Williams,M]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
22594 In 1794 France all individual and legal rights were suppressed by the general will [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
22602 Over several centuries a set of eight main liberal values was established [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
22596 No government, or the whole nation, can control an individual beyond legitimate scope [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
22603 Laissez-faire liberalism failed to give people the protections and freedoms needed for a good life [Dunt]
24. Political Theory / D. Ideologies / 14. Nationalism
22592 Nationalism pretends that we can only have a single identity [Dunt]