Combining Texts

All the ideas for 'works', 'What Numbers Could Not Be' and 'The Elm and the Expert'

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62 ideas

2. Reason / A. Nature of Reason / 8. Naturalising Reason
A standard naturalist view is realist, externalist, and computationalist, and believes in rationality [Fodor]
3. Truth / A. Truth Problems / 5. Truth Bearers
Psychology has to include the idea that mental processes are typically truth-preserving [Fodor]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Abelard's mereology involves privileged and natural divisions, and principal parts [Abelard, by King,P]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Inferences are surely part of the causal structure of the world [Fodor]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
There are no such things as numbers [Benacerraf]
Numbers can't be sets if there is no agreement on which sets they are [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Benacerraf says numbers are defined by their natural ordering [Benacerraf, by Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
To understand finite cardinals, it is necessary and sufficient to understand progressions [Benacerraf, by Wright,C]
A set has k members if it one-one corresponds with the numbers less than or equal to k [Benacerraf]
To explain numbers you must also explain cardinality, the counting of things [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
We can count intransitively (reciting numbers) without understanding transitive counting of items [Benacerraf]
Someone can recite numbers but not know how to count things; but not vice versa [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The application of a system of numbers is counting and measurement [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
For Zermelo 3 belongs to 17, but for Von Neumann it does not [Benacerraf]
The successor of x is either x and all its members, or just the unit set of x [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Disputes about mathematical objects seem irrelevant, and mathematicians cannot resolve them [Benacerraf, by Friend]
No particular pair of sets can tell us what 'two' is, just by one-to-one correlation [Benacerraf, by Lowe]
If ordinal numbers are 'reducible to' some set-theory, then which is which? [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
If any recursive sequence will explain ordinals, then it seems to be the structure which matters [Benacerraf]
The job is done by the whole system of numbers, so numbers are not objects [Benacerraf]
The number 3 defines the role of being third in a progression [Benacerraf]
Number words no more have referents than do the parts of a ruler [Benacerraf]
Mathematical objects only have properties relating them to other 'elements' of the same structure [Benacerraf]
How can numbers be objects if order is their only property? [Benacerraf, by Putnam]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Number-as-objects works wholesale, but fails utterly object by object [Benacerraf]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are not predicates, as they function very differently from adjectives [Benacerraf]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
The set-theory paradoxes mean that 17 can't be the class of all classes with 17 members [Benacerraf]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
If 'animal' is wholly present in Socrates and an ass, then 'animal' is rational and irrational [Abelard, by King,P]
Abelard was an irrealist about virtually everything apart from concrete individuals [Abelard, by King,P]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Only words can be 'predicated of many'; the universality is just in its mode of signifying [Abelard, by Panaccio]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity statements make sense only if there are possible individuating conditions [Benacerraf]
10. Modality / A. Necessity / 4. De re / De dicto modality
The de dicto-de re modality distinction dates back to Abelard [Abelard, by Orenstein]
13. Knowledge Criteria / C. External Justification / 5. Controlling Beliefs
Control of belief is possible if you know truth conditions and what causes beliefs [Fodor]
14. Science / A. Basis of Science / 3. Experiment
An experiment is a deliberate version of what informal thinking does all the time [Fodor]
We can deliberately cause ourselves to have true thoughts - hence the value of experiments [Fodor]
Interrogation and experiment submit us to having beliefs caused [Fodor]
Participation in an experiment requires agreement about what the outcome will mean [Fodor]
14. Science / B. Scientific Theories / 1. Scientific Theory
Theories are links in the causal chain between the environment and our beliefs [Fodor]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
I say psychology is intentional, semantics is informational, and thinking is computation [Fodor]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
We are probably the only creatures that can think about our own thoughts [Fodor]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Cartesians consider interaction to be a miracle [Fodor]
Semantics v syntax is the interaction problem all over again [Fodor]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Type physicalism equates mental kinds with physical kinds [Fodor]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Hume has no theory of the co-ordination of the mind [Fodor]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Propositional attitudes are propositions presented in a certain way [Fodor]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Rationality has mental properties - autonomy, productivity, experiment [Fodor]
18. Thought / C. Content / 5. Twin Earth
XYZ (Twin Earth 'water') is an impossibility [Fodor]
18. Thought / C. Content / 6. Broad Content
Truth conditions require a broad concept of content [Fodor]
18. Thought / C. Content / 7. Narrow Content
Concepts aren't linked to stuff; they are what is caused by stuff [Fodor]
18. Thought / C. Content / 10. Causal Semantics
Knowing the cause of a thought is almost knowing its content [Fodor]
18. Thought / C. Content / 12. Informational Semantics
Is content basically information, fixed externally? [Fodor]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
In the information view, concepts are potentials for making distinctions [Fodor]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Abelard's problem is the purely singular aspects of things won't account for abstraction [Panaccio on Abelard]
19. Language / A. Nature of Meaning / 1. Meaning
Semantic externalism says the concept 'elm' needs no further beliefs or inferences [Fodor]
If meaning is information, that establishes the causal link between the state of the world and our beliefs [Fodor]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
To know the content of a thought is to know what would make it true [Fodor]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
For holists no two thoughts are ever quite the same, which destroys faith in meaning [Fodor]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
It is claimed that reference doesn't fix sense (Jocasta), and sense doesn't fix reference (Twin Earth) [Fodor]
19. Language / C. Assigning Meanings / 2. Semantics
Broad semantics holds that the basic semantic properties are truth and denotation [Fodor]
19. Language / C. Assigning Meanings / 3. Predicates
Nothing external can truly be predicated of an object [Abelard, by Panaccio]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Externalist semantics are necessary to connect the contents of beliefs with how the world is [Fodor]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
Natural kinds are not special; they are just well-defined resemblance collections [Abelard, by King,P]