Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'The Limits of Reason' and 'Ontology and Mathematical Truth'

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18 ideas

3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
The vagueness of truthmaker claims makes it easier to run anti-realist arguments [Button]
3. Truth / D. Coherence Truth / 1. Coherence Truth
The coherence theory says truth is coherence of thoughts, and not about objects [Button]
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]
Permutation Theorem: any theory with a decent model has lots of models [Button]
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
How can pure abstract entities give models to serve as interpretations? [Jubien]
If we all intuited mathematical objects, platonism would be agreed [Jubien]
Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
7. Existence / D. Theories of Reality / 2. Realism
Realists believe in independent objects, correspondence, and fallibility of all theories [Button]
7. Existence / D. Theories of Reality / 4. Anti-realism
Indeterminacy arguments say if a theory can be made true, it has multiple versions [Button]
An ideal theory can't be wholly false, because its consistency implies a true model [Button]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
The empty set is the purest abstract object [Jubien]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Cartesian scepticism doubts what is true; Kantian scepticism doubts that it is sayable [Button]
14. Science / A. Basis of Science / 4. Prediction
Predictions give the 'content' of theories, which can then be 'equivalent' or 'adequate' [Button]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A sentence's truth conditions are all the situations where it would be true [Button]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]