Combining Philosophers

All the ideas for Crispin Wright, Edouard Machery and Roy Ellen

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94 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy is empty if it does not in some way depend on matters of fact [Machery]
2. Reason / C. Styles of Reason / 1. Dialectic
The best way to understand a philosophical idea is to defend it [Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck]
There are five Peano axioms, which can be expressed informally [Wright,C]
Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C]
What facts underpin the truths of the Peano axioms? [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Sameness of number is fundamental, not counting, despite children learning that first [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K]
Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend]
Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck]
It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Number platonism says that natural number is a sortal concept [Wright,C]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Treating numbers adjectivally is treating them as quantifiers [Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C]
The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C]
Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C]
The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C]
7. Existence / A. Nature of Existence / 2. Types of Existence
The idea that 'exist' has multiple senses is not coherent [Wright,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C]
7. Existence / E. Categories / 1. Categories
Monothetic categories have fixed defining features, and polythetic categories do not [Ellen]
In symbolic classification, the categories are linked to rules [Ellen]
Do categories store causal knowledge, or typical properties, or knowledge of individuals? [Machery]
7. Existence / E. Categories / 2. Categorisation
Are quick and slow categorisation the same process, or quite different? [Machery]
Several words may label a category; one word can name several categories; some categories lack words [Ellen]
For each category of objects (such as 'dog') an individual seems to have several concepts [Machery]
A thing is classified if its features are likely to be generated by that category's causal laws [Machery]
7. Existence / E. Categories / 5. Category Anti-Realism
There may be ad hoc categories, such as the things to pack in your suitcase for a trip [Machery]
Continuous experience sometimes needs imposition of boundaries to create categories [Ellen]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
There may be several ways to individuate things like concepts [Machery]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity involves a decision about usage, and is non-realist and non-cognitive [Wright,C, by McFetridge]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Classification is no longer held to be rooted in social institutions [Ellen]
14. Science / B. Scientific Theories / 1. Scientific Theory
If a term doesn't pick out a kind, keeping it may block improvements in classification [Machery]
Vertical arguments say eliminate a term if it picks out different natural kinds in different theories [Machery]
Horizontal arguments say eliminate a term if it fails to pick out a natural kind [Machery]
14. Science / C. Induction / 1. Induction
Psychologists use 'induction' as generalising a property from one category to another [Machery]
'Ampliative' induction infers that all members of a category have a feature found in some of them [Machery]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Connectionists cannot distinguish concept-memories from their background, or the processes [Machery]
18. Thought / A. Modes of Thought / 1. Thought
We can identify a set of cognitive capacities which are 'higher order' [Machery]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts for categorisation and for induction may be quite different [Machery]
Concept theories aim at their knowledge, processes, format, acquisition, and location [Machery]
We should abandon 'concept', and just use 'prototype', 'exemplar' and 'theory' [Machery]
A concept is only a sortal if it gives genuine identity [Wright,C]
'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C]
18. Thought / D. Concepts / 1. Concepts / b. Concepts in philosophy
In the philosophy of psychology, concepts are usually introduced as constituents of thoughts [Machery]
In philosophy theories of concepts explain how our propositional attitudes have content [Machery]
18. Thought / D. Concepts / 1. Concepts / c. Concepts in psychology
By 'concept' psychologists mean various sorts of representation or structure [Machery]
Concept theorists examine their knowledge, format, processes, acquisition and location [Machery]
Psychologists treat concepts as long-term knowledge bodies which lead to judgements [Machery]
Psychologist treat concepts as categories [Machery]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
The concepts OBJECT or AGENT may be innate [Machery]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Concepts should contain working memory, not long-term, because they control behaviour [Machery]
One hybrid theory combines a core definition with a prototype for identification [Machery]
Heterogeneous concepts might have conflicting judgements, where hybrid theories will not [Machery]
Concepts as definitions was rejected, and concepts as prototypes, exemplars or theories proposed [Machery]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C]
The concepts for a class typically include prototypes, and exemplars, and theories [Machery]
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
Classical theory can't explain facts like typical examples being categorised quicker [Machery]
Many categories don't seem to have a definition [Machery]
Classical theory implies variety in processing times, but this does not generally occur [Machery]
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
Knowing typical properties of things is especially useful in induction [Machery]
The term 'prototype' is used for both typical category members, and the representation [Machery]
Prototype theories are based on computation of similarities with the prototype [Machery]
Prototype theorists don't tell us how we select the appropriate prototype [Machery]
Maybe concepts are not the typical properties, but the ideal properties [Machery]
It is more efficient to remember the prototype, than repeatedly create it from exemplars [Machery]
The prototype view predicts that typical members are easier to categorise [Machery]
18. Thought / D. Concepts / 4. Structure of Concepts / e. Concepts from exemplars
Concepts as exemplars are based on the knowledge of properties of each particular [Machery]
Exemplar theories need to explain how the relevant properties are selected from a multitude of them [Machery]
In practice, known examples take priority over the rest of the set of exemplars [Machery]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
Theory Theory says category concepts are knowledge stores explaining membership [Machery]
Theory Theory says concepts are explanatory knowledge, and concepts form domains [Machery]
Theory theorists rely on best explanation, rather than on similarities [Machery]
If categorisation is not by similarity, it seems to rely on what properties things might have [Machery]
The theory account is sometimes labelled as 'knowledge' or 'explanation' in approach [Machery]
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
The word 'grandmother' may be two concepts, with a prototype and a definition [Machery]
18. Thought / D. Concepts / 5. Concepts and Language / b. Concepts are linguistic
For behaviourists concepts are dispositions to link category members to names [Machery]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
A milder claim is that understanding requires some evidence of that understanding [Wright,C]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Holism cannot give a coherent account of scientific methodology [Wright,C, by Miller,A]
19. Language / B. Reference / 1. Reference theories
If apparent reference can mislead, then so can apparent lack of reference [Wright,C]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Americans are more inclined to refer causally than the Chinese are [Machery]
19. Language / C. Assigning Meanings / 3. Predicates
We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Artifacts can be natural kinds, when they are the object of historical enquiry [Machery]