Combining Texts

All the ideas for 'Logicism, Some Considerations (PhD)', 'Letters to Wolff' and 'Morality and the emotions'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
13412 Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
13413 We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13411 If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
13415 An adequate account of a number must relate it to its series [Benacerraf]
9. Objects / D. Essence of Objects / 9. Essence and Properties
13191 The properties of a thing flow from its essence [Leibniz]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
24008 Reference to a person's emotions is often essential to understanding their actions [Williams,B]
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
24009 Moral education must involve learning about various types of feeling towards things [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
24007 Emotivism saw morality as expressing emotions, and influencing others' emotions [Williams,B]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
24010 An admirable human being should have certain kinds of emotional responses [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
24012 Kant's love of consistency is too rigid, and it even overrides normal fairness [Williams,B]