Combining Philosophers

All the ideas for Herodotus, Harry G. Frankfurt and R Kaplan / E Kaplan

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30 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
10. Modality / A. Necessity / 9. Normative Necessity
9240 Love creates a necessity concerning what to care about [Frankfurt]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
9264 Persons are distinguished by a capacity for second-order desires [Frankfurt]
9266 A person essentially has second-order volitions, and not just second-order desires [Frankfurt]
16. Persons / F. Free Will / 1. Nature of Free Will
9267 Free will is the capacity to choose what sort of will you have [Frankfurt]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
9265 The will is the effective desire which actually leads to an action [Frankfurt]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
20015 Freedom of action needs the agent to identify with their reason for acting [Frankfurt, by Wilson/Schpall]
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 / 1. Nature of Ethics / g. Moral responsibility
9270 A 'wanton' is not a person, because they lack second-order volitions [Frankfurt]
9269 A person may be morally responsible without free will [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
9233 Our criteria for evaluating how to live offer an answer to the problem [Frankfurt]
9229 What is worthwhile for its own sake alone may be worth very little [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]
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]
9236 Love can be cool, and it may not involve liking its object [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]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
1513 The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]