Combining Texts

All the ideas for 'On What Grounds What', 'On Platonism in Mathematics' and 'Mental Files'

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51 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Modern Quinean metaphysics is about what exists, but Aristotelian metaphysics asks about grounding [Schaffer,J]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
If you tore the metaphysics out of philosophy, the whole enterprise would collapse [Schaffer,J]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
We should not multiply basic entities, but we can have as many derivative entities as we like [Schaffer,J]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Mental files are the counterparts of singular terms [Recanati]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Grounding is unanalysable and primitive, and is the basic structuring concept in metaphysics [Schaffer,J]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is just modal correlation [Schaffer,J]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The cosmos is the only fundamental entity, from which all else exists by abstraction [Schaffer,J]
7. Existence / E. Categories / 4. Category Realism
Maybe categories are just the different ways that things depend on basic substances [Schaffer,J]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
There exist heaps with no integral unity, so we should accept arbitrary composites in the same way [Schaffer,J]
The notion of 'grounding' can explain integrated wholes in a way that mere aggregates can't [Schaffer,J]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity statements are informative if they link separate mental files [Recanati]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Belief in impossible worlds may require dialetheism [Schaffer,J]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
'Moorean certainties' are more credible than any sceptical argument [Schaffer,J]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
There is a continuum from acquaintance to description in knowledge, depending on the link [Recanati]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexicals apply to singular thought, and mental files have essentially indexical features [Recanati]
Indexicality is closely related to singularity, exploiting our direct relations with things [Recanati]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Files can be confused, if two files correctly have a single name, or one file has two names [Recanati]
Encylopedic files have further epistemic links, beyond the basic one [Recanati]
Singular thoughts need a mental file, and an acquaintance relation from file to object [Recanati]
Expected acquaintance can create a thought-vehicle file, but without singular content [Recanati]
An 'indexed' file marks a file which simulates the mental file of some other person [Recanati]
Reference by mental files is Millian, in emphasising acquaintance, rather than satisfaction [Recanati]
The reference of a file is fixed by what it relates to, not the information it contains [Recanati]
A mental file treats all of its contents as concerning one object [Recanati]
There are transient 'demonstrative' files, habitual 'recognitional' files, cumulative 'encyclopedic' files [Recanati]
Files are hierarchical: proto-files, then first-order, then higher-order encyclopedic [Recanati]
A file has a 'nucleus' through its relation to the object, and a 'periphery' of links to other files [Recanati]
18. Thought / C. Content / 1. Content
The content of thought is what is required to understand it (which involves hearers) [Recanati]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Mental files are individual concepts (thought constituents) [Recanati]
19. Language / B. Reference / 1. Reference theories
There may be two types of reference in language and thought: descriptive and direct [Recanati]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
In super-direct reference, the referent serves as its own vehicle of reference [Recanati]
Direct reference is strong Millian (just a tag) or weak Kaplanian (allowing descriptions as well) [Recanati]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Sense determines reference says same sense/same reference; new reference means new sense [Recanati]
We need sense as well as reference, but in a non-descriptive form, and mental files do that [Recanati]
Sense is a mental file (not its contents); similar files for Cicero and Tully are two senses [Recanati]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Problems with descriptivism are reference by perception, by communications and by indexicals [Recanati]
Descriptivism says we mentally relate to objects through their properties [Recanati]
Definite descriptions reveal either a predicate (attributive use) or the file it belongs in (referential) [Recanati]
A rigid definite description can be attributive, not referential: 'the actual F, whoever he is….' [Recanati]
Singularity cannot be described, and it needs actual world relations [Recanati]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean modes of presentation can be understood as mental files [Recanati]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
If two people think 'I am tired', they think the same thing, and they think different things [Recanati]
Indexicals (like mental files) determine their reference relationally, not by satisfaction [Recanati]
Indexical don't refer; only their tokens do [Recanati]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
In 2-D semantics, reference is determined, then singularity by the truth of a predication [Recanati]
Two-D semantics is said to help descriptivism of reference deal with singular objects [Recanati]
19. Language / D. Propositions / 3. Concrete Propositions
Russellian propositions are better than Fregean thoughts, by being constant through communication [Recanati]