Combining Texts

All the ideas for 'Counterfactual Dependence and Time's Arrow', 'Ontology and Mathematical Truth' and '68: Generation of the soul in 'Timaeus''

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10 ideas

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]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
5963 Some say emotion is a sort of reason, and others say virtue concerns emotion [Plutarch]
26. Natural Theory / C. Causation / 5. Direction of causation
8433 There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich]