Combining Texts

All the ideas for 'Material Constitution', 'Atomism' and 'Ontology and Mathematical Truth'

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21 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]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
16065 Constitution is identity (being in the same place), or it isn't (having different possibilities) [Wasserman]
16067 Constitution is not identity, because it is an asymmetric dependence relation [Wasserman]
16069 There are three main objections to seeing constitution as different from identity [Wasserman]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
16068 The weight of a wall is not the weight of its parts, since that would involve double-counting [Wasserman]
9. Objects / F. Identity among Objects / 3. Relative Identity
16074 Relative identity may reject transitivity, but that suggests that it isn't about 'identity' [Wasserman]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
22809 The social contract sees society as constituted by and for individuals [Taylor,C]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
22811 Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C]
22815 If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
22814 Our reliance on other people close to us does not imply any political obligations [Taylor,C]
25. Social Practice / C. Rights / 1. Basis of Rights
22812 For most people the primacy of rights mainly concerns freedom [Taylor,C]
22810 A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C]
25. Social Practice / C. Rights / 4. Property rights
22813 Property is not essential for life, but it may be essential for independence [Taylor,C]
25. Social Practice / E. Policies / 3. Welfare provision
23417 If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka]