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All the ideas for 'Properties', 'Introduction to Zermelo's 1930 paper' and 'On Denoting'

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69 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / b. Modern philosophy beginnings
Russell started a whole movement in philosophy by providing an analysis of descriptions [Read on Russell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
In the iterative conception of sets, they form a natural hierarchy [Swoyer]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Russell's theories aim to preserve excluded middle (saying all sentences are T or F) [Sawyer on Russell]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
'Elizabeth = Queen of England' is really a predication, not an identity-statement [Russell, by Lycan]
Logical Form explains differing logical behaviour of similar sentences [Swoyer]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
The idea of a variable is fundamental [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Names don't have a sense, but are disguised definite descriptions [Russell, by Sawyer]
Russell says names are not denotations, but definite descriptions in disguise [Russell, by Kripke]
Russell says a name contributes a complex of properties, rather than an object [Russell, by Sawyer]
Are names descriptions, if the description is unknown, false, not special, or contains names? [McCullogh on Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Logically proper names introduce objects; definite descriptions introduce quantifications [Russell, by Bach]
The meaning of a logically proper name is its referent, but most names are not logically proper [Russell, by Soames]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Russell rewrote singular term names as predicates [Russell, by Ayer]
"Nobody" is not a singular term, but a quantifier [Russell, by Lycan]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Russell implies that all sentences containing empty names are false [Sawyer on Russell]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Critics say definite descriptions can refer, and may not embody both uniqueness and existence claims [Grayling on Russell]
Definite descriptions fail to refer in three situations, so they aren't essentially referring [Russell, by Sainsbury]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
Russell's theory must be wrong if it says all statements about non-existents are false [Read on Russell]
The theory of descriptions eliminates the name of the entity whose existence was presupposed [Russell, by Quine]
Russell's theory explains non-existents, negative existentials, identity problems, and substitutivity [Russell, by Lycan]
Russell showed how to define 'the', and thereby reduce the ontology of logic [Russell, by Lackey]
The theory of definite descriptions reduces the definite article 'the' to the concepts of predicate logic [Russell, by Horwich]
Russell implies that 'the baby is crying' is only true if the baby is unique [Grayling on Russell]
Russell explained descriptions with quantifiers, where Frege treated them as names [Russell, by McCullogh]
Russell avoids non-existent objects by denying that definite descriptions are proper names [Russell, by Miller,A]
Denying definite description sentences are subject-predicate in form blocks two big problems [Russell, by Forbes,G]
Russell says apparent referring expressions are really assertions about properties [Russell, by Cooper,DE]
The theory of descriptions lacks conventions for the scope of quantifiers [Lackey on Russell]
Non-count descriptions don't threaten Russell's theory, which is only about singulars [Laycock on Russell]
Denoting is crucial in Russell's account of mathematics, for identifying classes [Russell, by Monk]
Russell's analysis means molecular sentences are ambiguous over the scope of the description [Kaplan on Russell]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Existence is entirely expressed by the existential quantifier [Russell, by McGinn]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is nowadays seen as between properties, rather than linguistic [Swoyer]
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists can't explain different methods to measure distance [Swoyer]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Russell showed that descriptions may not have ontological commitment [Russell, by Linsky,B]
7. Existence / E. Categories / 3. Proposed Categories
The Theory of Description dropped classes and numbers, leaving propositions, individuals and universals [Russell, by Monk]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Can properties have parts? [Swoyer]
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
There are only first-order properties ('red'), and none of higher-order ('coloured') [Swoyer]
8. Modes of Existence / B. Properties / 11. Properties as Sets
The best-known candidate for an identity condition for properties is necessary coextensiveness [Swoyer]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Russell can't attribute existence to properties [McGinn on Russell]
8. Modes of Existence / D. Universals / 1. Universals
Various attempts are made to evade universals being wholly present in different places [Swoyer]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
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
If properties are abstract objects, then their being abstract exemplifies being abstract [Swoyer]
9. Objects / A. Existence of Objects / 4. Impossible objects
If the King of France is not bald, and not not-bald, this violates excluded middle [Linsky,B on Russell]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
One might hope to reduce possible worlds to properties [Swoyer]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Extreme empiricists can hardly explain anything [Swoyer]
18. Thought / C. Content / 8. Intension
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
Research suggests that concepts rely on typical examples [Swoyer]
19. Language / B. Reference / 1. Reference theories
Russell argued with great plausibility that we rarely, if ever, refer with our words [Russell, by Cooper,DE]
19. Language / B. Reference / 2. Denoting
Referring is not denoting, and Russell ignores the referential use of definite descriptions [Donnellan on Russell]
Denoting phrases are meaningless, but guarantee meaning for propositions [Russell]
In 'Scott is the author of Waverley', denotation is identical, but meaning is different [Russell]
A definite description 'denotes' an entity if it fits the description uniquely [Russell, by Recanati]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
By eliminating descriptions from primitive notation, Russell seems to reject 'sense' [Russell, by Kripke]
19. Language / B. Reference / 5. Speaker's Reference
Russell assumes that expressions refer, but actually speakers refer by using expressions [Cooper,DE on Russell]
19. Language / C. Assigning Meanings / 3. Predicates
The F and G of logic cover a huge range of natural language combinations [Swoyer]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Russell rejected sense/reference, because it made direct acquaintance with things impossible [Russell, by Recanati]
'Sense' is superfluous (rather than incoherent) [Russell, by Miller,A]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
The theory of definite descriptions aims at finding correct truth conditions [Russell, by Lycan]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Maybe a proposition is just a property with all its places filled [Swoyer]
19. Language / D. Propositions / 3. Concrete Propositions
In graspable propositions the constituents are real entities of acquaintance [Russell]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
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
Two properties can have one power, and one property can have two powers [Swoyer]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The ontological argument begins with an unproven claim that 'there exists an x..' [Russell]