Combining Texts

All the ideas for 'Phenomenal and Perceptual Concepts', 'Spheres of Justice' and 'Review of Chihara 'Struct. Accnt of Maths''

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10 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
18. Thought / B. Mechanics of Thought / 5. Mental Files
There is a single file per object, memorised, reactivated, consolidated and expanded [Papineau, by Recanati]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
You can't distribute goods from behind a veil, because their social meaning is unclear [Walzer, by Tuckness/Wolf]
25. Social Practice / B. Equalities / 2. Political equality
Complex equality restricts equalities from spilling over, like money influencing politics and law [Walzer, by Tuckness/Wolf]
25. Social Practice / B. Equalities / 4. Economic equality
Equality is complex, with different spheres of equality where different principles apply [Walzer, by Swift]