Combining Texts

All the ideas for 'Alcibiades', 'Review of Chihara 'Struct. Accnt of Maths'' and 'Persons, Character and Morality'

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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]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Man uses his body, so must be separate from it [Anon (Plat), by Maslin]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
It is important that a person can change their character, and not just be successive 'selves' [Williams,B]
Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
For utilitarians states of affairs are what have value, not matter who produced them [Williams,B]