Combining Texts

All the ideas for 'Causes and Counterfactuals', 'The Art of the Infinite' and 'Last Fragments'

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16 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
14. Science / B. Scientific Theories / 1. Scientific Theory
General statements about nature are not valid [Novalis]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
The whole body is involved in the formation of thoughts [Novalis]
25. Social Practice / E. Policies / 5. Education / d. Study of history
Persons are shaped by a life history; splendid persons are shaped by world history [Novalis]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Nature is a whole, and its individual parts cannot be wholly understood [Novalis]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
The basic relations of nature are musical [Novalis]
26. Natural Theory / C. Causation / 1. Causation
Causal statements are used to explain, to predict, to control, to attribute responsibility, and in theories [Kim]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Many counterfactuals have nothing to do with causation [Kim, by Tooley]
Counterfactuals can express four other relations between events, apart from causation [Kim]
Causation is not the only dependency relation expressed by counterfactuals [Kim]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
Many counterfactual truths do not imply causation ('if yesterday wasn't Monday, it isn't Tuesday') [Kim, by Psillos]