Combining Texts

All the ideas for 'On Denoting', 'Penguin Dictionary of Philosophy' and 'Philosophy of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts


80 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]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Linguistic philosophy approaches problems by attending to actual linguistic usage [Mautner]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy studies the unimportant, and sharpens tools instead of using them [Mautner]
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
The 'hermeneutic circle' says parts and wholes are interdependent, and so cannot be interpreted [Mautner]
2. Reason / D. Definition / 4. Real Definition
'Real' definitions give the essential properties of things under a concept [Mautner]
2. Reason / D. Definition / 7. Contextual Definition
'Contextual definitions' replace whole statements, not just expressions [Mautner]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
2. Reason / D. Definition / 9. Recursive Definition
Recursive definition defines each instance from a previous instance [Mautner]
2. Reason / D. Definition / 10. Stipulative Definition
A stipulative definition lays down that an expression is to have a certain meaning [Mautner]
2. Reason / D. Definition / 11. Ostensive Definition
Ostensive definitions point to an object which an expression denotes [Mautner]
2. Reason / F. Fallacies / 5. Fallacy of Composition
The fallacy of composition is the assumption that what is true of the parts is true of the whole [Mautner]
4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic
Fuzzy logic is based on the notion that there can be membership of a set to some degree [Mautner]
5. Theory of Logic / B. Logical Consequence / 6. Entailment
Entailment is logical requirement; it may be not(p and not-q), but that has problems [Mautner]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Strict implication says false propositions imply everything, and everything implies true propositions [Mautner]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
'Material implication' is defined as 'not(p and not-q)', but seems to imply a connection between p and q [Mautner]
A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience [Mautner]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Vagueness seems to be inconsistent with the view that every proposition is true or false [Mautner]
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]
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
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]
Russell's theory must be wrong if it says all statements about non-existents are false [Read on Russell]
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 / 1. Quantification
Quantifiers turn an open sentence into one to which a truth-value can be assigned [Mautner]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Existence is entirely expressed by the existential quantifier [Russell, by McGinn]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
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 / 12. Denial of Properties
Russell can't attribute existence to properties [McGinn on Russell]
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 / B. Possibility / 9. Counterfactuals
Counterfactuals presuppose a belief (or a fact) that the condition is false [Mautner]
Counterfactuals are not true, they are merely valid [Mautner]
Counterfactuals are true if in every world close to actual where p is the case, q is also the case [Mautner]
Counterfactuals say 'If it had been, or were, p, then it would be q' [Mautner]
Maybe counterfactuals are only true if they contain valid inference from premisses [Mautner]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
Essentialism is often identified with belief in 'de re' necessary truths [Mautner]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Fallibilism is the view that all knowledge-claims are provisional [Mautner]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
'Sense-data' arrived in 1910, but it denotes ideas in Locke, Berkeley and Hume [Mautner]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Observing lots of green x can confirm 'all x are green' or 'all x are grue', where 'grue' is arbitrary [Mautner, by PG]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
'All x are y' is equivalent to 'all non-y are non-x', so observing paper is white confirms 'ravens are black' [Mautner, by PG]
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]
A definite description 'denotes' an entity if it fits the description uniquely [Russell, by Recanati]
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]
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 / 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 / C. Assigning Meanings / 9. Indexical Semantics
The references of indexicals ('there', 'now', 'I') depend on the circumstances of utterance [Mautner]
19. Language / D. Propositions / 3. Concrete Propositions
In graspable propositions the constituents are real entities of acquaintance [Russell]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
Double effect is the distinction between what is foreseen and what is intended [Mautner]
Double effect acts need goodness, unintended evil, good not caused by evil, and outweighing [Mautner]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
'Essentialism' is opposed to existentialism, and claims there is a human nature [Mautner]
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]