Combining Texts

All the ideas for 'Natural Kinds and Biological Realism', 'The Handbook [Encheiridion]' and 'Alfred Tarski: life and logic'

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19 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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
23366 We see nature's will in the ways all people are the same [Epictetus]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
4022 Epictetus says we should console others for misfortune, but not be moved by pity [Epictetus, by Taylor,C]
23365 If someone is weeping, you should sympathise and help, but not share his suffering [Epictetus]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
23368 Perhaps we should persuade culprits that their punishment is just? [Epictetus]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
17371 Some kinds are very explanatory, but others less so, and some not at all [Devitt]
27. Natural Reality / G. Biology / 5. Species
17372 The higher categories are not natural kinds, so the Linnaean hierarchy should be given up [Devitt]
17373 Species pluralism says there are several good accounts of what a species is [Devitt]