Combining Philosophers

All the ideas for Pherecydes, Feferman / Feferman and Thomas W. Polger

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20 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
6375 The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
6381 The mind and the self are one, and the mind-self is a biological phenomenon [Polger]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
6378 Teleological functions explain why a trait exists; causal-role functions say what it does [Polger]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
6380 Identity theory says consciousness is an abstraction: a state, event, process or property [Polger]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
6379 A mummified heart has the teleological function of circulating blood [Polger]
6377 Teleological notions of function say what a thing is supposed to do [Polger]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
22745 Pherecydes said the first principle and element is earth [Pherecydes, by Sext.Empiricus]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
5883 Pherecydes was the first to say that the soul is eternal [Pherecydes, by Cicero]