Combining Texts

All the ideas for 'Essay on a Problem in the Doctrine of Chances', 'Last Fragments' and 'Philosophy of Mathematics'

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10 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
14. Science / B. Scientific Theories / 1. Scientific Theory
General statements about nature are not valid [Novalis]
14. Science / C. Induction / 6. Bayes's Theorem
The probability of two events is the first probability times the second probability assuming the first [Bayes]
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]