Combining Texts

All the ideas for 'fragments/reports', 'Review of Chihara 'Struct. Accnt of Maths'' and 'Introduction to 'Modality''

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10 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10185 Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10184 Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
10189 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
10186 If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
10187 Abstract algebra concerns relations between models, not common features of all the models [Burgess]
10188 How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
10. Modality / A. Necessity / 1. Types of Modality
14528 Maybe modal thought is unavoidable, as a priori recognition of necessary truth-preservation in reasoning [Hale/Hoffmann,A]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
6000 The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
5999 The good is what is perfect by nature [Diogenes of Babylon, by Blank]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
6001 Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]