Combining Texts

All the ideas for 'Necessary Existents', 'Reflections on Knowledge, Truth and Ideas' and 'Grundlagen (Foundations of Theory of Manifolds)'

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7 ideas

2. Reason / D. Definition / 1. Definitions

19426

'Nominal' definitions just list distinguishing characteristics [Leibniz]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

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]

19. Language / D. Propositions / 3. Concrete Propositions

19216

Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]

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]