Combining Texts

All the ideas for 'Leibniz:Body,Substance,Monad', 'Ontology and Mathematical Truth' and 'Law, Pragmatism and Democracy'

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11 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]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
12695 Epicurean atomists say body is sensible, to distinguish it from space. [Garber]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9969 The empty set is the purest abstract object [Jubien]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
21131 Democracy is competition for support of the people, guided by self-interest on all sides [Posner]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
12705 Epicurean atoms are distinguished by their extreme hardness [Garber]