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All the ideas for 'Events and Their Names', 'Principles of Arithmetic, by a new method' and 'Reflections on Knowledge, Truth and Ideas'

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11 ideas

2. Reason / D. Definition / 1. Definitions
19426 'Nominal' definitions just list distinguishing characteristics [Leibniz]
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]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
8978 Events are made of other things, and are not fundamental to ontology [Bennett]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
19424 Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz]
18. Thought / C. Content / 2. Ideas
19427 True ideas represent what is possible; false ideas represent contradictions [Leibniz]
26. Natural Theory / C. Causation / 2. Types of cause
19425 In the schools the Four Causes are just lumped together in a very obscure way [Leibniz]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
10364 Facts are about the world, not in it, so they can't cause anything [Bennett]