Combining Texts

All the ideas for 'Reply to First Objections', 'Explanation and Reference' and 'Alfred Tarski: life and logic'

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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 / F. Referring in Logic / 1. Naming / a. Names
17505 Using proper names properly doesn't involve necessary and sufficient conditions [Putnam]
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]
9. Objects / D. Essence of Objects / 5. Essence as Kind
11908 Putnam bases essences on 'same kind', but same kinds may not share properties [Mackie,P on Putnam]
14. Science / B. Scientific Theories / 2. Aim of Science
17508 Science aims at truth, not at 'simplicity' [Putnam]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
16634 I can't be unaware of anything which is in me [Descartes]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
17506 I now think reference by the tests of experts is a special case of being causally connected [Putnam]
23. Ethics / F. Existentialism / 5. Existence-Essence
3635 Essence must be known before we discuss existence [Descartes]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
17507 Natural kind stereotypes are 'strong' (obvious, like tiger) or 'weak' (obscure, like molybdenum) [Putnam]
11904 Express natural kinds as a posteriori predicate connections, not as singular terms [Putnam, by Mackie,P]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
3634 We can't prove a first cause from our inability to grasp infinity [Descartes]