Combining Texts

All the ideas for 'works (fragments)', 'Nature Without Essence' 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]
5. Theory of Logic / K. Features of Logics / 6. Compactness
17867 If a concept is not compact, it will not be presentable to finite minds [Almog]
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]
17877 The number series is primitive, not the result of some set theoretic axioms [Almog]
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 / D. Essence of Objects / 4. Essence as Definition
17871 Fregean meanings are analogous to conceptual essence, defining a kind [Almog]
17866 Essential definition aims at existence conditions and structural truths [Almog]
17868 Surface accounts aren't exhaustive as they always allow unintended twin cases [Almog]
17872 Definitionalists rely on snapshot-concepts, instead of on the real processes [Almog]
9. Objects / D. Essence of Objects / 10. Essence as Species
17870 Alien 'tigers' can't be tigers if they are not related to our tigers [Almog]
9. Objects / D. Essence of Objects / 13. Nominal Essence
17869 Kripke and Putnam offer an intermediary between real and nominal essences [Almog]
9. Objects / D. Essence of Objects / 15. Against Essentialism
17876 Individual essences are just cobbled together classificatory predicates [Almog]
18. Thought / C. Content / 5. Twin Earth
17873 Water must be related to water, just as tigers must be related to tigers [Almog]
25. Social Practice / F. Life Issues / 6. Animal Rights
6005 Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
17864 Defining an essence comes no where near giving a thing's nature [Almog]
17863 Essences promise to reveal reality, but actually drive us away from it [Almog]