Combining Philosophers

All the ideas for Richard M. Hare, Feferman / Feferman and Aristippus the younger

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40 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10147 The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
10148 Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
10149 Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
10150 The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
10146 Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10158 A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]
10162 Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10160 Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]
10159 Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10161 If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 7. Decidability
10156 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]
10155 Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16050 The goodness of a picture supervenes on the picture; duplicates must be equally good [Hare]
7. Existence / D. Theories of Reality / 4. Anti-realism
5953 For the Cyrenaics experience was not enough to give certainty about reality [Aristippus young, by Plutarch]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
3023 Even the foolish may have some virtues [Aristippus young, by Diog. Laertius]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
3026 Actions are influenced by circumstances, so Cyrenaics say felons should be reformed, not hated [Aristippus young, by Diog. Laertius]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
2705 How can intuitionists distinguish universal convictions from local cultural ones? [Hare]
2712 You can't use intuitions to decide which intuitions you should cultivate [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
2706 Emotivists mistakenly think all disagreements are about facts, and so there are no moral reasons [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
2709 Prescriptivism sees 'ought' statements as imperatives which are universalisable [Hare]
2704 If morality is just a natural or intuitive description, that leads to relativism [Hare]
2855 In primary evaluative words like 'ought' prescription is constant but description can vary [Hare, by Hooker,B]
22331 Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]
22484 Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]
4125 Hare says I acquire an agglomeration of preferences by role-reversal, leading to utilitarianism [Hare, by Williams,B]
4126 If we have to want the preferences of the many, we have to abandon our own deeply-held views [Williams,B on Hare]
4127 If morality is to be built on identification with the preferences of others, I must agree with their errors [Williams,B on Hare]
22483 A judgement is presciptive if we expect it to be acted on [Hare]
2703 Descriptivism say ethical meaning is just truth-conditions; prescriptivism adds an evaluation [Hare]
2707 If there can be contradictory prescriptions, then reasoning must be involved [Hare]
2708 An 'ought' statement implies universal application [Hare]
2711 Prescriptivism implies a commitment, but descriptivism doesn't [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
3024 Cyrenaics teach that honour, justice and shame are all based on custom and fashion [Aristippus young, by Diog. Laertius]
23. Ethics / A. Egoism / 1. Ethical Egoism
3025 For a Cyrenaic no one is of equal importance to himself [Aristippus young, by Diog. Laertius]
23. Ethics / A. Egoism / 3. Cyrenaic School
3019 No one pleasure is different from or more pleasant than another [Aristippus young, by Diog. Laertius]
3021 The Cyrenaics asserted that corporeal pleasures were superior to mental ones [Aristippus young, by Diog. Laertius]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
4360 By far the easiest way of seeming upright is to be upright [Hare]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
3027 Cyrenaics say wise men are self-sufficient, needing no friends [Aristippus young, by Diog. Laertius]
23. Ethics / D. Deontological Ethics / 3. Universalisability
2710 Moral judgements must invoke some sort of principle [Hare]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
6449 The categorical imperative leads to utilitarianism [Hare, by Nagel]