Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Of the First Principles of Government' and 'Outline of a System of the Philosophy of Nature'

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12 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
21925 For Schelling the Absolute spirit manifests as nature in which self-consciousness evolves [Schelling, by Lewis,PB]
22045 Metaphysics aims at the Absolute, which goes beyond subjective and objective viewpoints [Schelling, by Pinkard]
25. Social Practice / C. Rights / 1. Basis of Rights
21094 There are two kinds of right - to power, and to property [Hume]
25. Social Practice / C. Rights / 4. Property rights
21095 It is an exaggeration to say that property is the foundation of all government [Hume]
26. Natural Theory / A. Speculations on Nature / 1. Nature
22057 Schelling sought a union between the productivities of nature and of the mind [Schelling, by Bowie]
22031 Schelling made organisms central to nature, because mere mechanism could never produce them [Schelling, by Pinkard]