Combining Texts

All the ideas for 'Content Preservation', 'Sets and Numbers' and 'The Reasons of Love'

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25 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
17824 The master science is physical objects divided into sets [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17825 Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
17826 Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
17828 Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
17827 Sets exist where their elements are, but numbers are more like universals [Maddy]
17830 Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17823 If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
17829 Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
10. Modality / A. Necessity / 9. Normative Necessity
9240 Love creates a necessity concerning what to care about [Frankfurt]
13. Knowledge Criteria / C. External Justification / 1. External Justification
9382 Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
9228 Ranking order of desires reveals nothing, because none of them may be considered important [Frankfurt]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
9238 Morality isn't based on reason; moral indignation is quite unlike disapproval of irrationality [Frankfurt]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
9232 It is by caring about things that we infuse the world with importance [Frankfurt]
9234 If you don't care about at least one thing, you can't find reasons to care about anything [Frankfurt]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
9229 What is worthwhile for its own sake alone may be worth very little [Frankfurt]
9233 Our criteria for evaluating how to live offer an answer to the problem [Frankfurt]
22. Metaethics / B. Value / 2. Values / g. Love
9235 Rather than loving things because we value them, I think we value things because we love them [Frankfurt]
9236 Love can be cool, and it may not involve liking its object [Frankfurt]
9237 The paradigm case of pure love is not romantic, but that between parents and infants [Frankfurt]
9239 I value my children for their sake, but I also value my love for them for its own sake [Frankfurt]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
9227 We might not choose a very moral life, if the character or constitution was deficient [Frankfurt]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
9230 People want to fulfill their desires, but also for their desires to be sustained [Frankfurt]
23. Ethics / A. Egoism / 1. Ethical Egoism
9241 Loving oneself is not a failing, but is essential to a successful life [Frankfurt]
23. Ethics / F. Existentialism / 4. Boredom
9300 Boredom is serious, not just uncomfortable; it threatens our psychic survival [Frankfurt]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
9231 Freedom needs autonomy (rather than causal independence) - embracing our own desires and choices [Frankfurt]