Combining Texts

All the ideas for 'Idealism: a critical survey', 'Alfred Tarski: life and logic' and 'Pref to new 'Materialist Theory''

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22 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]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
7440 Secondary qualities are microscopic primary qualities of physical things [Armstrong]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
21513 We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
21497 If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
7437 Consciousness and experience of qualities are not the same [Armstrong]
17. Mind and Body / B. Behaviourism / 1. Behaviourism
7434 Behaviourism is false, but mind is definable as the cause of behaviour [Armstrong]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
7436 The manifestations of a disposition need never actually exist [Armstrong]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
7429 Causal Functionalism says mental states are apt for producing behaviour [Armstrong]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
7438 A causal theory of mentality would be improved by a teleological element [Armstrong]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
7431 The identity of mental states with physical properties is contingent, because the laws of nature are contingent [Armstrong]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
7432 One mental role might be filled by a variety of physical types [Armstrong]