Combining Texts

All the ideas for 'Ontology and Mathematical Truth', 'Introduction to 'Evidentialism'' and 'Letters to Fichte'

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12 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]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
19518 Evidentialism says justifications supervene on the available evidence [Conee/Feldman]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
19519 Rational decisions are either taken to be based on evidence, or to be explained causally [Conee/Feldman]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
7071 Life and rationality are pointless if we can only contemplate the freedom of our own ego [Jacobi]
23. Ethics / F. Existentialism / 2. Nihilism
7072 Jacobi was the first philosopher to talk of nihilism [Jacobi, by Critchley]