Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Hartry Field and Edouard Machery

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97 ideas

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 / F. Fallacies / 4. Circularity
Maybe reasonableness requires circular justifications - that is one coherentist view [Field,H]
3. Truth / A. Truth Problems / 4. Uses of Truth
The notion of truth is to help us make use of the utterances of others [Field,H]
3. Truth / A. Truth Problems / 9. Rejecting Truth
In the early 1930s many philosophers thought truth was not scientific [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski reduced truth to reference or denotation [Field,H, by Hart,WD]
Tarski really explained truth in terms of denoting, predicating and satisfied functions [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
Tarski just reduced truth to some other undefined semantic notions [Field,H]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Tarski gives us the account of truth needed to build a group of true sentences in a model [Field,H]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory is unusual in restricting the range of the quantifiers [Field,H]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
If mathematical theories conflict, it may just be that they have different subject matter [Field,H]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
In Field's version of science, space-time points replace real numbers [Field,H, by Szabó]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H]
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro]
Hilbert explains geometry, by non-numerical facts about space [Field,H]
Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Mathematics is only empirical as regards which theory is useful [Field,H]
Abstractions can form useful counterparts to concrete statements [Field,H]
Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]
Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
You can reduce ontological commitment by expanding the logic [Field,H]
7. Existence / E. Categories / 1. Categories
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]
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]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Field presumes properties can be eliminated from science [Field,H, by Szabó]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
There may be several ways to individuate things like concepts [Machery]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
Lots of propositions are default reasonable, but the a priori ones are empirically indefeasible [Field,H]
12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
We treat basic rules as if they were indefeasible and a priori, with no interest in counter-evidence [Field,H]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Reliability only makes a rule reasonable if we place a value on the truth produced by reliable processes [Field,H]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Believing nothing, or only logical truths, is very reliable, but we want a lot more than that [Field,H]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
People vary in their epistemological standards, and none of them is 'correct' [Field,H]
14. Science / B. Scientific Theories / 1. Scientific Theory
Horizontal arguments say eliminate a term if it fails to pick out a natural kind [Machery]
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]
14. Science / C. Induction / 1. Induction
If we only use induction to assess induction, it is empirically indefeasible, and hence a priori [Field,H]
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]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Beneath every extrinsic explanation there is an intrinsic explanation [Field,H]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
'Valence' and 'gene' had to be reduced to show their compatibility with physicalism [Field,H]
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]
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]
Psychologists treat concepts as long-term knowledge bodies which lead to judgements [Machery]
Psychologist treat concepts as categories [Machery]
Concept theorists examine their knowledge, format, processes, acquisition and location [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
The concepts for a class typically include prototypes, and exemplars, and theories [Machery]
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
Many categories don't seem to have a definition [Machery]
Classical theory implies variety in processing times, but this does not generally occur [Machery]
Classical theory can't explain facts like typical examples being categorised quicker [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]
The prototype view predicts that typical members are easier to categorise [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]
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
The theory account is sometimes labelled as 'knowledge' or 'explanation' in approach [Machery]
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]
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 / 4. Abstracta by Example
'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H]
19. Language / B. Reference / 1. Reference theories
'Partial reference' is when the subject thinks two objects are one object [Field,H, by Recanati]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Field says reference is a causal physical relation between mental states and objects [Field,H, by Putnam]
Americans are more inclined to refer causally than the Chinese are [Machery]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Artifacts can be natural kinds, when they are the object of historical enquiry [Machery]
26. Natural Theory / C. Causation / 1. Causation
Explain single events by general rules, or vice versa, or probability explains both, or they are unconnected [Field,H]
26. Natural Theory / C. Causation / 5. Direction of causation
Physical laws are largely time-symmetric, so they make a poor basis for directional causation [Field,H]
Identifying cause and effect is not just conventional; we explain later events by earlier ones [Field,H]
The only reason for adding the notion of 'cause' to fundamental physics is directionality [Field,H]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
In theories of fields, space-time points or regions are causal agents [Field,H]
27. Natural Reality / C. Space / 4. Substantival Space
Both philosophy and physics now make substantivalism more attractive [Field,H]
27. Natural Reality / C. Space / 5. Relational Space
Relational space is problematic if you take the idea of a field seriously [Field,H]