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All the ideas for 'Mahaprajnaparamitashastra', 'LOT 2' and 'What Numbers Could Not Be'

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66 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Who cares what 'philosophy' is? Most pre-1950 thought doesn't now count as philosophy [Fodor]
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
Definitions often give necessary but not sufficient conditions for an extension [Fodor]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
A truth-table, not inferential role, defines 'and' [Fodor]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Names in thought afford a primitive way to bring John before the mind [Fodor]
'Paderewski' has two names in mentalese, for his pianist file and his politician file [Fodor]
5. Theory of Logic / K. Features of Logics / 2. Consistency
P-and-Q gets its truth from the truth of P and truth of Q, but consistency isn't like that [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]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity statements make sense only if there are possible individuating conditions [Benacerraf]
10. Modality / B. Possibility / 1. Possibility
There's statistical, logical, nomological, conceptual and metaphysical possibility [Fodor]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Some beliefs are only inferred when needed, like 'Shakespeare had not telephone' [Fodor]
11. Knowledge Aims / A. Knowledge / 6. Knowing How
Knowing that must come before knowing how [Fodor]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism is the worst idea ever [Fodor]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Mental states have causal powers [Fodor]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
The different types of resemblance don't resemble one another [Fodor]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
In the Representational view, concepts play the key linking role [Fodor]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Only the labels of nodes have semantic content in connectionism, and they play no role [Fodor]
18. Thought / A. Modes of Thought / 1. Thought
Associative thinking avoids syntax, but can't preserve sense, reference or truth [Fodor]
Connectionism gives no account of how constituents make complex concepts [Fodor]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Ambiguities in English are the classic reason for claiming that we don't think in English [Fodor]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Mental representations name things in the world, but also files in our memory [Fodor]
We think in file names [Fodor]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
Frame Problem: how to eliminate most beliefs as irrelevant, without searching them? [Fodor]
18. Thought / C. Content / 5. Twin Earth
If concept content is reference, then my Twin and I are referring to the same stuff [Fodor]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Nobody knows how concepts are acquired [Fodor]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
We have an innate capacity to form a concept, once we have grasped the stereotype [Fodor]
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
Having a concept isn't a pragmatic matter, but being able to think about the concept [Fodor]
Concepts have two sides; they are files that face thought, and also face subject-matter [Fodor]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Cartesians put concept individuation before concept possession [Fodor]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Frege's puzzles suggest to many that concepts have sense as well as reference [Fodor]
If concepts have sense, we can't see the connection to their causal powers [Fodor]
Belief in 'senses' may explain intentionality, but not mental processes [Fodor]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
You can't think 'brown dog' without thinking 'brown' and 'dog' [Fodor]
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
Maybe stereotypes are a stage in concept acquisition (rather than a by-product) [Fodor]
One stereotype might be a paradigm for two difference concepts [Fodor]
18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism
For the referential view of thought, the content of a concept is just its reference [Fodor]
Compositionality requires that concepts be atomic [Fodor]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstractionism claims that instances provide criteria for what is shared [Fodor]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
'Inferential-role semantics' says meaning is determined by role in inference [Fodor]
19. Language / B. Reference / 1. Reference theories
Co-referring terms differ if they have different causal powers [Fodor]
We refer to individuals and to properties, and we use singular terms and predicates [Fodor]
19. Language / C. Assigning Meanings / 2. Semantics
Semantics (esp. referential semantics) allows inferences from utterances to the world [Fodor]
Semantics relates to the world, so it is never just psychological [Fodor]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Before you can plan action, you must decide on the truth of your estimate of success [Fodor]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]