Combining Texts

All the ideas for 'fragments/reports', 'The Trouble with Possible Worlds' and 'Ontology and Mathematical Truth'

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15 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Maybe Ockham's Razor is a purely aesthetic principle [Lycan]
The Razor seems irrelevant for Meinongians, who allow absolutely everything to exist [Lycan]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
'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
A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If we all intuited mathematical objects, platonism would be agreed [Jubien]
How can pure abstract entities give models to serve as interpretations? [Jubien]
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
The empty set is the purest abstract object [Jubien]
9. Objects / A. Existence of Objects / 4. Impossible objects
Maybe non-existent objects are sets of properties [Lycan]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Treating possible worlds as mental needs more actual mental events [Lycan]
Possible worlds must be made of intensional objects like propositions or properties [Lycan]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If 'worlds' are sentences, and possibility their consistency, consistency may rely on possibility [Lycan]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
A virtue is a combination of intelligence, strength and luck [Ion]