Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Ontology and Mathematical Truth' and 'Why Propositions cannot be concrete'

expand these ideas     |    start again     |     specify just one area for these texts

13 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
9962 How can pure abstract entities give models to serve as interpretations? [Jubien]
9963 If we all intuited mathematical objects, platonism would be agreed [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 / E. Abstraction / 1. Abstract Thought
9086 The idea of abstract objects is not ontological; it comes from the epistemological idea of abstraction [Plantinga]
9087 Theists may see abstract objects as really divine thoughts [Plantinga]
19. Language / D. Propositions / 3. Concrete Propositions
9085 If propositions are concrete they don't have to exist, and so they can't be necessary truths [Plantinga]
19. Language / D. Propositions / 4. Mental Propositions
9084 Propositions can't just be in brains, because 'there are no human beings' might be true [Plantinga]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]