Combining Texts

All the ideas for 'The Epistemology of Modality', 'Alfred Tarski: life and logic' and 'Straw Dogs'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
9271 Human knowledge may not produce well-being; the examined life may not be worth living [Gray]
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]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
19440 How do you know you have conceived a thing deeply enough to assess its possibility? [Vaidya]
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
9275 Knowledge does not need minds or nervous systems; it is found in all living things [Gray]
16. Persons / F. Free Will / 5. Against Free Will
9276 The will hardly ever does anything; most of our life just happens to us [Gray]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
9278 Nowadays we identify the free life with the good life [Gray]
27. Natural Reality / G. Biology / 4. Ecology
9280 Over forty percent of the Earth's living tissue is human [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
9272 Without Christianity we lose the idea that human history has a meaning [Gray]
9279 What was our original sin, and how could Christ's suffering redeem it? [Gray]