Combining Texts

All the ideas for 'fragments/reports', 'Ontology and Mathematical Truth' and 'Of Organum or Ars Magna of Thinking'

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12 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
5021 An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
9967 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
9968 A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
9965 There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
9966 The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9963 If we all intuited mathematical objects, platonism would be agreed [Jubien]
9962 How can pure abstract entities give models to serve as interpretations? [Jubien]
9964 Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9969 The empty set is the purest abstract object [Jubien]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
5020 Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
22511 Some reasonings are stronger than we are [Philolaus]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
5019 Supreme human happiness is the greatest possible increase of his perfection [Leibniz]