Combining Texts

All the ideas for 'fragments/reports', 'Properties' and 'Alfred Tarski: life and logic'

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32 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]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10405 In the iterative conception of sets, they form a natural hierarchy [Swoyer]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
10407 Logical Form explains differing logical behaviour of similar sentences [Swoyer]
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
10159 Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
10160 Löwenheim-Skolem says if the sentences are countable, so is the model [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]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
10421 Supervenience is nowadays seen as between properties, rather than linguistic [Swoyer]
7. Existence / D. Theories of Reality / 4. Anti-realism
10410 Anti-realists can't explain different methods to measure distance [Swoyer]
8. Modes of Existence / B. Properties / 1. Nature of Properties
10416 Can properties have parts? [Swoyer]
10399 If a property such as self-identity can only be in one thing, it can't be a universal [Swoyer]
8. Modes of Existence / B. Properties / 5. Natural Properties
10417 There are only first-order properties ('red'), and none of higher-order ('coloured') [Swoyer]
8. Modes of Existence / B. Properties / 11. Properties as Sets
10413 The best-known candidate for an identity condition for properties is necessary coextensiveness [Swoyer]
8. Modes of Existence / D. Universals / 1. Universals
10402 Various attempts are made to evade universals being wholly present in different places [Swoyer]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
10400 Conceptualism says words like 'honesty' refer to concepts, not to properties [Swoyer]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10403 If properties are abstract objects, then their being abstract exemplifies being abstract [Swoyer]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
10406 One might hope to reduce possible worlds to properties [Swoyer]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
10404 Extreme empiricists can hardly explain anything [Swoyer]
18. Thought / C. Content / 8. Intension
10408 Intensions are functions which map possible worlds to sets of things denoted by an expression [Swoyer]
18. Thought / D. Concepts / 4. Structure of Concepts / e. Concepts from exemplars
10409 Research suggests that concepts rely on typical examples [Swoyer]
19. Language / C. Assigning Meanings / 3. Predicates
10401 The F and G of logic cover a huge range of natural language combinations [Swoyer]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
10420 Maybe a proposition is just a property with all its places filled [Swoyer]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
5996 Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
10412 If laws are mere regularities, they give no grounds for future prediction [Swoyer]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
10411 Two properties can have one power, and one property can have two powers [Swoyer]