Combining Texts

All the ideas for 'Tropes', 'Principles of Arithmetic, by a new method' and 'Moral Philosophy meets social psychology'

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13 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Individuals consist of 'compresent' tropes [Bacon,John]
A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John]
Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Maybe possible worlds are just sets of possible tropes [Bacon,John]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Maybe consequentialism is a critique of ordinary morality, rather than describing it [Harman]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Maybe there is no such thing as character, and the virtues and vices said to accompany it [Harman]
If a person's two acts of timidity have different explanations, they are not one character trait [Harman]
Virtue ethics might involve judgements about the virtues of actions, rather than character [Harman]