Combining Texts

All the ideas for 'Ontology and the Vicious Circle Principle', 'Axiomatic Thought' and 'Political Liberalism'

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9 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
18151 Could we replace sets by the open sentences that define them? [Chihara, by Bostock]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17963 The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
17966 Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
17967 To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
17965 The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
17964 Number theory just needs calculation laws and rules for integers [Hilbert]
23. Ethics / D. Deontological Ethics / 3. Universalisability
21051 Check your rationality by thinking of your opinion pronounced by the supreme court [Rawls]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
21119 Power is only legitimate if it is reasonable for free equal citizens to endorse the constitution [Rawls]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
17968 By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]