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All the ideas for 'Alfred Tarski: life and logic', 'fragments/reports' and 'Morality and the emotions'

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18 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]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
5880 Xenocrates held that the soul had no form or substance, but was number [Xenocrates, by Cicero]
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]
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]