Combining Texts

All the ideas for 'The World', 'On the Question of Absolute Undecidability' and 'Spinoza's Ethics'

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11 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
21855 Only in the 1780s did it become acceptable to read Spinoza [Lord]
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]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
22593 Our sensation of light may not be the same as what produces the sensation [Descartes]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
21866 Hobbes and Spinoza use 'conatus' to denote all endeavour for advantage in nature [Lord]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
16569 The Hot, Cold, Wet and Dry of the philosophers need themselves to be explained [Descartes]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
20964 Descartes said there was conservation of 'quantity of motion' [Descartes, by Papineau]