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All the ideas for 'fragments/reports', 'Philosophy of Arithmetic' and 'Mental Files'

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45 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Mental files are the counterparts of singular terms [Recanati]
     Full Idea: Mental files are the mental counterparts of singular terms.
     From: François Recanati (Mental Files [2012], 3.3)
     A reaction: A thoroughly satisfactory theory. We can build up a picture of filing merging, duplication, ambiguity, error etc. Eventually neuroscience will map the whole system, and we will have cracked it.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]
     Full Idea: Husserl contends that 0 is not a number, on the grounds that 'nought' is a negative answer to the question 'how many?'.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.144) by Michael Dummett - Frege philosophy of mathematics Ch.8
     A reaction: I seem to be in a tiny minority in thinking that Husserl may have a good point. One apple is different from one orange, but no apples are the same as no oranges. That makes 0 a very peculiar number. See Idea 9838.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Multiplicity in general is just one and one and one, etc. [Husserl]
     Full Idea: Multiplicity in general is no more than something and something and something, etc.; ..or more briefly, one and one and one, etc.
     From: Edmund Husserl (Philosophy of Arithmetic [1894], p.85), quoted by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic'
     A reaction: Frege goes on to attack this idea fairly convincingly. It seems obvious that it is hard to say that you have seventeen items, if the only numberical concept in your possession is 'one'. How would you distinguish 17 from 16? What makes the ones 'multiple'?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
     Full Idea: Husserl famously argued that one should not explain number in terms of equinumerosity (or one-one correspondence), but should explain equinumerosity in terms of sameness of number, which should be characterised in terms of counting.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: [Heck admits he hasn't read the Husserl] I'm very sympathetic to Husserl, though nearly all modern thinking favours Frege. Counting connects numbers to their roots in the world. Mathematicians seem oblivious of such things.
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity statements are informative if they link separate mental files [Recanati]
     Full Idea: An identity statement 'A=B' is informative to the extent that the terms 'A' and 'B' are associated with distinct mental files.
     From: François Recanati (Mental Files [2012], 4.1)
     A reaction: Hence the information in 'Scott is the author of 'Waverley'' is information about what is in your mind, not what is happening in Scotland. This is Recanati's solution to one of Frege's classic puzzles. 'Morning Star' and 'Evening Star' files. Nice.
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]
     Full Idea: It is not too difficult to imagine a continuum of cases between straightforward instances of knowledge by acquaintance and straightforward instances of knowledge by description, with more or less tenuous informational links to the referent.
     From: François Recanati (Mental Files [2012], 12.2)
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Husserl identifies a positive mental act of unification, and a negative mental act for differences [Husserl, by Frege]
     Full Idea: Husserl identifies a 'unitary mental act' where several contents are connected or related to one another, and also a difference-relation where two contents are related to one another by a negative judgement.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.73-74) by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic' p.322
     A reaction: Frege is setting this up ready for a fairly vicious attack. Where Hume has a faculty for spotting resemblances, it is not implausible that we should also be hard-wired to spot differences. 'You look different; have you changed your hair style?'
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexicals apply to singular thought, and mental files have essentially indexical features [Recanati]
     Full Idea: I defend the applicability of the indexical model to singular thought, and to mental files qua vehicles of singular thought. Mental files, I will argue, possess the essential features of indexicals.
     From: François Recanati (Mental Files [2012], 05.1)
     A reaction: I love mental files, but am now (thanks to Cappelen and Dever) deeply averse to giving great significance to indexicals. A revised account of files will be needed.
Indexicality is closely related to singularity, exploiting our direct relations with things [Recanati]
     Full Idea: Singularity and indexicality are closely related: for indexicals systematically exploit the contextual relations in which we stand to what we talk about.
     From: François Recanati (Mental Files [2012], 2.2)
     A reaction: Recanati builds a nice case that we may only have an ontology of singular objects because we conceptualise and refer to things in a particular way. He denies the ontology, but that's the bit that interests me.
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]
     Full Idea: Paderewski cases are cases in which a subject associates two distinct files with a single name. Inverse Paderewski cases are cases in which there are two names but the subject associates them with a single file.
     From: François Recanati (Mental Files [2012], 10.1)
     A reaction: In the inverse there are two people with the same name, and someone thinks they are one person (with their combined virtues and vices). E.g. Einstein the famous physicist, and Einstein the famous musicologist. What a man!
Encylopedic files have further epistemic links, beyond the basic one [Recanati]
     Full Idea: The reference of a file is the object to which the subject stands in the relevant epistemic relation. In the case of encylopedic entries there is an arbitrary number of distinct relations. The file grows new links in an opportunistic manner.
     From: François Recanati (Mental Files [2012], 11.3)
     A reaction: I'm not convinced by Recanati's claim that encylopedic files are a distinct type. My files seem to grow these opportunistic links right from their inception. All files seem to have that feature. A file could have four links at its moment of launching.
A mental file treats all of its contents as concerning one object [Recanati]
     Full Idea: The role of a mental file is precisely to treat all the information as if it concerned one and the same object, from which it derives.
     From: François Recanati (Mental Files [2012], 4.1)
     A reaction: Recanati's book focuses entirely on singular objects, but we presumably have files for properties, generalisation, groups etc. Can they only be thought about if they are reified? Maybe.
Singular thoughts need a mental file, and an acquaintance relation from file to object [Recanati]
     Full Idea: The mental file framework rests on two principles: that the subject cannot entertain a singular thought about an object without possessing and exercising a mental file about it, and that this requires an acquaintance relation with the object.
     From: François Recanati (Mental Files [2012], 12.3)
     A reaction: I'm puzzled by the case where I design and build a completely new object. I seem to assemble a file, and only bestow singularity on it towards the end. Or the singularity can just be a placeholder, referred to as 'something'. […see p.158]
Expected acquaintance can create a thought-vehicle file, but without singular content [Recanati]
     Full Idea: On my view, actual acquaintance is not necessary to open a mental file; expected acquaintance will suffice; yet opening a mental file itself is not sufficient to entertain a singular thought-content. It only enables a thought-vehicle.
     From: François Recanati (Mental Files [2012], 13.1)
     A reaction: I'm not clear why I can't create a file with no expectation at all of acquaintance, as in a fictional case. Depends what 'acquaintance' means. Recanati longs for precise distinctions where they may not be available.
An 'indexed' file marks a file which simulates the mental file of some other person [Recanati]
     Full Idea: Files function metarepresentationally if they serve to represent how other subjects think about objects in the world. ..An 'indexed' file has an index referring to the other subject whose files the indexed file stands for or simulates.
     From: François Recanati (Mental Files [2012], 14.1)
     A reaction: Presumably there is an implicit index on all files, which says in a conversation whether my interlocutor does or does not hold the same file-type as me. Recanati wants many 'types' of files, but I suspect there is just one file type.
Reference by mental files is Millian, in emphasising acquaintance, rather than satisfaction [Recanati]
     Full Idea: The mental file account preserves the original, Millian inspiration of direct reference theories in giving pride of place to acquaintance relations and downplaying satisfaction factors.
     From: François Recanati (Mental Files [2012], 17.3)
     A reaction: I find this a very satisfying picture, in which reference links to the simple label of a file (which could be a number), and not to its contents. There are tricky cases of non-existents, fictional entities and purely possible entities to consider.
The reference of a file is fixed by what it relates to, not the information it contains [Recanati]
     Full Idea: What files refer to is not determined by properties which the subject takes the referent to have (information, or misinformation, in the file), but through the relations on which the files are based.
     From: François Recanati (Mental Files [2012], 3.3)
     A reaction: Maybe. 'Lot 22'. I can build up a hypothetical file by saying 'Imagine an animal which is F, G, H…', and build a reference that relates to nothing. Maybe Recanati overestimates the role of his 'epistemically rewarding' relations in file creation.
There are transient 'demonstrative' files, habitual 'recognitional' files, cumulative 'encyclopedic' files [Recanati]
     Full Idea: A 'demonstrative' file only exists during the demonstrative relation to something; …a 'recognitional' file is based on 'familiarity' (a disposition to recognise); …an 'encylopedic' file contains all the information on something, however it is gained.
     From: François Recanati (Mental Files [2012], 6.1-3)
     A reaction: [picked as samples of his taxonomy, pp.70-73] I'm OK with this as long as he doesn't think the categories are sharply separated. I'm inclined to think of files as a single type, drifting in and out of different of modes.
Files are hierarchical: proto-files, then first-order, then higher-order encyclopedic [Recanati]
     Full Idea: There is a hierarchy of files. Proto-files are the most basic; conceptual files are generated from them. First-order ones are more basic, as the higher-order encylopedic entries presuppose them.
     From: François Recanati (Mental Files [2012], 6.3)
     A reaction: This hierarchy might fit into a decent account of categories, if a plausible one could be found. A good prospect for exploring categories would be to start with mental file-types, and work outwards through their relations.
A file has a 'nucleus' through its relation to the object, and a 'periphery' of links to other files [Recanati]
     Full Idea: I take a file to have a dual structure, with a 'nucleus' of the file consisting of information derived through the relevant epistemically rewarding relation, while the 'periphery' consists of information derived through linking with other files.
     From: François Recanati (Mental Files [2012], 8.3)
     A reaction: This sounds strikingly like essentialism to me, though what constitutes the essence is different from the usual explanatory basics. The link, though, is in the causal connection. If we naturally 'essentialise', that will control file-formation.
18. Thought / C. Content / 1. Content
The content of thought is what is required to understand it (which involves hearers) [Recanati]
     Full Idea: As Evans emphasises, what matters when we want to individuate semantic content is what would count as a proper understanding of an utterance; but 'understanding' defines the task of the hearer.
     From: François Recanati (Mental Files [2012], 16.2)
     A reaction: [cites Evans 1982: 92, 143n, 171] I like to place (following Aristotle) understanding at the centre of all of philosophy, so this seems to me an appealing idea. It makes misunderstandings interesting.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Mental files are individual concepts (thought constituents) [Recanati]
     Full Idea: I want mental files (properly speaking) to serve as individual concepts, i.e. thought constituents.
     From: François Recanati (Mental Files [2012], 5.3)
     A reaction: This is why the concept of mental files is so neat - it gives you a theory of reference and a theory of concepts. I love the files approach because it precisely fits my own introspective experiences. Hope I'm not odd in that way.
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]
     Full Idea: Husserl said that the clarification of any concept is made by determining its psychological origin. He is concerned with the psychological origins of the operation of calculating cardinal numbers.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Victor Velarde-Mayol - On Husserl 2.2
     A reaction: This may not be the same as the 'psychologism' that Frege so despised, because Husserl is offering a clarification, rather than the intrinsic nature of number concepts. It is not a theory of the origin of numbers.
18. Thought / E. Abstraction / 8. Abstractionism Critique
Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]
     Full Idea: Husserl substitutes his account of the process of concept-formation for a delineation of the concept. It is above all in making this substitution that psychologism is objectionable (and Frege opposed it so vehemently).
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.2
     A reaction: While this is a powerful point which is a modern orthodoxy, it hardly excludes a study of concept-formation from being of great interest for other reasons. It may not appeal to logicians, but it is crucial part of the metaphysics of nature.
Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]
     Full Idea: Husserl saw that abstracted units, though featureless, must in some way retain their distinctness, some shadowy remnant of their objects. So he wanted to correlate like-numbered sets, not just register their identity, but then abstractionism fails.
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.12
     A reaction: Abstractionism is held to be between the devil and the deep blue sea, of depending on units which are identifiable, when they are defined as devoid of all individuality. We seem forced to say that the only distinction between them is countability.
19. Language / B. Reference / 1. Reference theories
There may be two types of reference in language and thought: descriptive and direct [Recanati]
     Full Idea: A widely held view, originating with Russell, says there are two types of reference (both in language and thought): descriptive reference, and direct reference.
     From: François Recanati (Mental Files [2012], 3.2)
     A reaction: I would rather say is there is just one sort of reference, and as many ways of achieving it as you care to come up with. With that view, most of the problems vanish, as far as I can see. People refer. Sentences are nothing but trouble.
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
In super-direct reference, the referent serves as its own vehicle of reference [Recanati]
     Full Idea: In super-direct reference, the sort of thing Russell was after, there is no mode of presentation: the referent itself serves as its own vehicle, as it were.
     From: François Recanati (Mental Files [2012], 18.2)
     A reaction: To me this is a step too far, because reference is not some physical object like a chair; it is a mental or linguistic phenomenon. Chair's don't refer themselves; it is people who refer.
Direct reference is strong Millian (just a tag) or weak Kaplanian (allowing descriptions as well) [Recanati]
     Full Idea: There are two notions of direct reference, the strong Millian notion (where the expression is like a 'tag' with no satisfaction mechanism), and the weaker Kaplanian notion (where reference is compatible with carrying a descriptive meaning).
     From: François Recanati (Mental Files [2012], 17.3)
     A reaction: I immediately favour the Millian view, which gives a minimal basis for reference, as just a 'peg' (Marcus) to hang things on. I don't take a Millian reference to be the object itself. The concept of a 'tag' or 'label' is key. Mental files have tags.
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]
     Full Idea: To say that sense determines reference is to say that the same sense cannot determine distinct referents - any distinction at the level of reference entails a corresponding distinction at the level of sense.
     From: François Recanati (Mental Files [2012], 10.2)
     A reaction: Does 'the sentry at the gate' change its sense when the guard is changed? Yes. 'The sentry at the gate will stop you'. 'The sentry at the gate is my cousin'. De re/de dicto reference. So changes of de re reference seem to change the sense?
We need sense as well as reference, but in a non-descriptive form, and mental files do that [Recanati]
     Full Idea: My view inherits from Frege 'modes of presentation'. Reference is not enough, and sense is needed. …We must make room for non-descriptive modes of presentation, and these are mental files.
     From: François Recanati (Mental Files [2012], 18.1)
     A reaction: [compressed] Recanati aims to avoid the standard Kripkean criticisms of descriptivism, while being able to handle Frege's puzzles. I take Recanati's mental files theory to be the most promising approach.
Sense is a mental file (not its contents); similar files for Cicero and Tully are two senses [Recanati]
     Full Idea: What plays the role of sense is not information in a file, but the file itself. If there are two distinct files, one for 'Cicero' and one for 'Tully', then there are two distinct (non-descriptive) senses, even if the information in both files is the same.
     From: François Recanati (Mental Files [2012], 3.4)
     A reaction: This may be the best idea in Recanati's book. A sense might be a 'way of coming at the information', rather than some set of descriptions.
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Problems with descriptivism are reference by perception, by communications and by indexicals [Recanati]
     Full Idea: Three problems with Frege's idea of descriptions in the head are: reference through perception, reference through communicative chains, and reference through indexicals.
     From: François Recanati (Mental Files [2012], 3.1)
     A reaction: In the end reference has to occur in the head, even if it is social or causal or whatever, so these are not problems that worry me.
Descriptivism says we mentally relate to objects through their properties [Recanati]
     Full Idea: Descriptivism is the view that our mental relation to individual objects goes through properties of those objects. …This is so because our knowledge of objects is mediated by our knowledge of their properties.
     From: François Recanati (Mental Files [2012], 1.1)
     A reaction: The implication is that if you view an object as just a bundle of properties, then you are obliged to hold a descriptive theory of reference. Hence a 'singularist' theory of reference seems to need a primitive notion of an object's identity.
Definite descriptions reveal either a predicate (attributive use) or the file it belongs in (referential) [Recanati]
     Full Idea: A definite description may contribute either the singular predicate it encodes (attributive use) or the mental file to what that predicate belongs (referential use).
     From: François Recanati (Mental Files [2012], 17.1)
     A reaction: This nicely explains Donnellan's distinction in terms of mental files. 'Green' may refer in a shop, but isn't much use in a wood. What to make of 'He's a bit of a Bismark'?
A rigid definite description can be attributive, not referential: 'the actual F, whoever he is….' [Recanati]
     Full Idea: A rigid use of a definite description need not be referential: it may be attributive. Thus I may say: 'The actual F, whoever he is, is G'.
     From: François Recanati (Mental Files [2012], 2.2)
     A reaction: Recanati offers this as a criticism of the attempted 2-D solution to descriptivist accounts of singularity. The singularity is not strong enough, he says.
Singularity cannot be described, and it needs actual world relations [Recanati]
     Full Idea: As Peirce insisted, singularity as such cannot be described, it can only be given through actual world relations.
     From: François Recanati (Mental Files [2012], 2.2)
     A reaction: [Peirce - Exact Logic, Papers 3, 1967, §419] This is the key idea for Recanati's case for basing our grasp of singular things on their relation to a mental file.
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean modes of presentation can be understood as mental files [Recanati]
     Full Idea: A mental file plays the role which Fregean theory assigns to modes of presentation.
     From: François Recanati (Mental Files [2012], 17.1)
     A reaction: I'm a fan of mental files, and this is a nice pointer to how the useful Fregean insights can be written in a way better grounded in brain operations. Rewriting Frege in neuroscience terms is a nice project for someone.
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]
     Full Idea: If you and I think 'I am tired', there is a sense in which we think the same thing, and another sense in which we think different things.
     From: François Recanati (Mental Files [2012], 18.1)
     A reaction: This is a very nice simple account of the semantic distinctiveness of indexicals, which obviously requires a 'two-tiered framework'. He cites Kaplan and Perry as background.
Indexical don't refer; only their tokens do [Recanati]
     Full Idea: Indexicals do not refer; only tokens of an indexical refer
     From: François Recanati (Mental Files [2012], 5.1)
     A reaction: Thus 'Thurs 23rd March 2013' refers, but 'now' doesn't, unless someone produces an utterance of it. This is why indexicals are sometimes called 'token-reflexives'.
Indexicals (like mental files) determine their reference relationally, not by satisfaction [Recanati]
     Full Idea: The class of indexicals have the same property as mental files, that their reference is determined relationally rather than satisfactionally.
     From: François Recanati (Mental Files [2012], 5.1)
     A reaction: Recanati is building an account of reference through mental files. This idea may be the clearest point I have yet encountered about indexicals, showing why they are of particular interest to philosophers.
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]
     Full Idea: In the two-dimensional framework, what characterises the singular case is the fact that truth-evaluation (of possessing of the reference-fixing property) takes place at a later stage than reference determination.
     From: François Recanati (Mental Files [2012], 2.1)
     A reaction: This sounds psychologically plausible, which is a big (and unfashionable) plus for me. 1) what are we talking about? 2) what are we saying about it, 3) is it true?
Two-D semantics is said to help descriptivism of reference deal with singular objects [Recanati]
     Full Idea: Descriptivism has trouble catching the singularity of objects, construing them as only directly about properties. …To get the truth-conditions right, it is claimed, the descriptivist only as to go two-dimensional.
     From: François Recanati (Mental Files [2012], 2.1)
     A reaction: I suspect that the descriptivist only has a problem here because context is being ignored. 'That man on the beach' can quickly be made uniquely singular after a brief chat.
19. Language / D. Propositions / 3. Concrete Propositions
Russellian propositions are better than Fregean thoughts, by being constant through communication [Recanati]
     Full Idea: The Russellian notion of a proposition is arguably a better candidate for the status of semantic content than the Fregean notion of a thought. For the proposition remains constant from one person to the next.
     From: François Recanati (Mental Files [2012], 16.2)
     A reaction: A good point, though I rebel against Russellian propositions because they are too much out in the world, and propositions strike me as features of minds. We need to keep propositions separate from facts.
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
     Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes.
     From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078
     A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book.
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
     Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness.
     From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42
     A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them.