Combining Texts

All the ideas for 'works (all lost)', 'Alfred Tarski: life and logic' and 'Machine Man'

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21 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 / C. Capacities of Minds / 2. Imagination
7647 The imagination alone perceives all objects; it is the soul, playing all its roles [La Mettrie]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
7645 When falling asleep, the soul becomes paralysed and weak, just like the body [La Mettrie]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
23225 The soul's faculties depend on the brain, and are simply the brain's organisation [La Mettrie]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
7652 Man is a machine, and there exists only one substance, diversely modified [La Mettrie]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
7650 All thought is feeling, and rationality is the sensitive soul contemplating reasoning [La Mettrie]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
7651 With wonderful new machines being made, a speaking machine no longer seems impossible [La Mettrie]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
7648 The sun and rain weren't made for us; they sometimes burn us, or spoil our seeds [La Mettrie]
27. Natural Reality / G. Biology / 3. Evolution
7646 There is no abrupt transition from man to animal; only language has opened a gap [La Mettrie]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
7649 There is no clear idea of the soul, which should only refer to our thinking part [La Mettrie]