Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Introduction to Virtue Ethics' and 'Alfred Tarski: life and logic'

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23 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]
20. Action / C. Motives for Action / 4. Responsibility for Actions
7096 We may still admire a person's character even if the traits are involuntary [Statman]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
7098 There is a new sort of moral scepticism, about the possibility of moral theories [Statman]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
7099 With a broad concept of flourishing, it might be possible without the virtues [Statman]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
7100 Virtue theory isn't a genuine ethical theory, because it doesn't have universal application [Statman]
7102 Promises create moral duties that have nothing to do with character [Statman]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
7095 Moral education is better by concrete example than abstract principle [Statman]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
7094 Friends express friendship even when no utility is involved [Statman]
23. Ethics / D. Deontological Ethics / 2. Duty
7093 Behaviour may be disgusting or inhumane, but violate no duty [Statman]
7104 The ancients recognised imperfect duties, but we have added perfect duties like justice [Statman]
25. Social Practice / F. Life Issues / 3. Abortion
7103 Abortion issues focus on the mother's right over her body, and the status of the foetus [Statman]