Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Morality and the emotions' and 'Mathematical Physics'

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10 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
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]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
9567 Maths deals with quantities of physical significance, ignoring irrelevant features [Geroch]
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]