Combining Texts

All the ideas for 'fragments/reports', 'A Priori' and 'Ontology and Mathematical Truth'

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22 ideas

1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
17713 After 1903, Husserl avoids metaphysical commitments [Mares]
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 / 4. Axioms for Number / a. Axioms for numbers
17715 The truth of the axioms doesn't matter for pure mathematics, but it does for applied [Mares]
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]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17716 Mathematics is relations between properties we abstract from experience [Mares]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9969 The empty set is the purest abstract object [Jubien]
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
17703 Light in straight lines is contingent a priori; stipulated as straight, because they happen to be so [Mares]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
17714 Aristotelians dislike the idea of a priori judgements from pure reason [Mares]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
17705 Empiricists say rationalists mistake imaginative powers for modal insights [Mares]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
17700 The most popular view is that coherent beliefs explain one another [Mares]
14. Science / B. Scientific Theories / 3. Instrumentalism
17704 Operationalism defines concepts by our ways of measuring them [Mares]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
17710 Aristotelian justification uses concepts abstracted from experience [Mares]
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
17706 The essence of a concept is either its definition or its conceptual relations? [Mares]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
17701 Possible worlds semantics has a nice compositional account of modal statements [Mares]
19. Language / D. Propositions / 3. Concrete Propositions
17702 Unstructured propositions are sets of possible worlds; structured ones have components [Mares]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
27. Natural Reality / C. Space / 3. Points in Space
17708 Maybe space has points, but processes always need regions with a size [Mares]