Combining Texts

All the ideas for 'fragments/reports', 'Principles of Arithmetic, by a new method' and 'Nietzsche's System'

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11 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
20349 Metaphysics aims at the essence of things, and a system to show how this explains other truths [Richardson]
20351 Metaphysics needs systems, because analysis just obsesses over details [Richardson]
20350 Metaphysics generalises the data, to get at the ontology [Richardson]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
1556 By nature people are close to one another, but culture drives them apart [Hippias]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
20356 Humans dominate because, unlike other animals, they have a synthesis of conflicting drives [Richardson]
26. Natural Theory / C. Causation / 7. Eliminating causation
20366 A mind that could see cause and effect as a continuum would deny cause and effect [Richardson]