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All the ideas for 'Individuals without Sortals', 'Reals by Abstraction' and 'What Does It Take to Refer?'

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37 ideas

4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic at least allows empty names, but struggles to express non-existence [Bach]
     Full Idea: Unlike standard first-order logic, free logic can allow empty names, but still has to deny existence by either representing it as a predicate, or invoke some dubious distinction such as between existence and being.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L1)
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
In first-order we can't just assert existence, and it is very hard to deny something's existence [Bach]
     Full Idea: In standard logic we can't straightforwardly say that n exists. We have to resort to using a formula like '∃x(x=n)', but we can't deny n's existence by negating that formula, because standard first-order logic disallows empty names.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L1)
5. Theory of Logic / E. Structures of Logic / 3. Constants in Logic
In logic constants play the role of proper names [Bach]
     Full Idea: In standard first-order logic the role of proper names is played by individual constants.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L1)
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Proper names can be non-referential - even predicate as well as attributive uses [Bach]
     Full Idea: Like it or not, proper names have non-referential uses, including not only attributive but even predicate uses.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L1)
     A reaction: 'He's a right little Hitler'. 'You're doing a George Bush again'. 'Try to live up to the name of Churchill'.
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Millian names struggle with existence, empty names, identities and attitude ascription [Bach]
     Full Idea: The familiar problems with the Millian view of names are the problem of positive and negative existential statements, empty names, identity sentences, and propositional attitude ascription.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L1)
     A reaction: I take this combination of problems to make an overwhelming case against the daft idea that the semantics of a name amounts to the actual object it picks out. It is a category mistake to attempt to insert a person into a sentence.
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / a. Descriptions
An object can be described without being referred to [Bach]
     Full Idea: An object can be described without being referred to.
     From: Kent Bach (What Does It Take to Refer? [2006], Intro)
     A reaction: I'm not clear how this is possible for a well-known object, though it is clearly possible for a speculative object, such as a gadget I would like to buy. In the former case reference seems to occur even if the speaker is trying to avoid it.
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Definite descriptions can be used to refer, but are not semantically referential [Bach]
     Full Idea: If Russell is, as I believe, basically right, then definite descriptions are the paradigm of singular terms that can be used to refer but are not linguistically (semantically) referential.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1 s5)
     A reaction: I'm not sure that we can decide what is 'semantically referential'. Most of the things we refer to don't have names. We don't then 'use' definite descriptions (I'm thinking) - they actually DO the job. If we use them, we can 'use' names too?
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]
     Full Idea: The real numbers may be introduced by abstraction as ratios of quantities. ..They are not defined by Dedekind cuts; rather, the cuts constitute a domain with the properties that are a necessary precondition.
     From: report of Bob Hale (Reals by Abstraction [1998]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' 3.3
     A reaction: This is Hale's neo-logicist attempt to derive the real numbers from Hume's Principle.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]
     Full Idea: If we count the concept 'coin in this box', we could regard coin as the 'unit', while taking 'in this box' to limit the scope. Counting coins in two boxes would be not a difference in unit (kind of object), but in scope.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Counting')
     A reaction: This is a very nice alternative to the Fregean view of counting, depending totally on the concept, and rests more on a natural concept of object. I prefer Ayers. Compare 'count coins till I tell you to stop'.
If counting needs a sortal, what of things which fall under two sortals? [Ayers]
     Full Idea: If we accepted that counting objects always presupposes some sortal, it is surely clear that the class of objects to be counted could be designated by two sortals rather than one.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Realist' vii)
     A reaction: His nice example is an object which is both 'a single piece of wool' and a 'sweater', which had better not be counted twice. Wiggins struggles to argue that there is always one 'substance sortal' which predominates.
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events do not have natural boundaries, and we have to set them [Ayers]
     Full Idea: In order to know which event has been ostensively identified by a speaker, the auditor must know the limits intended by the speaker. ...Events do not have natural boundaries.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Concl')
     A reaction: He distinguishes events thus from natural objects, where the world, to a large extent, offers us the boundaries. Nice point.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
To express borderline cases of objects, you need the concept of an 'object' [Ayers]
     Full Idea: The only explanation of the power to produce borderline examples like 'Is this hazelnut one object or two?' is the possession of the concept of an object.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Counting')
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Speakers need the very general category of a thing, if they are to think about it [Ayers]
     Full Idea: If a speaker indicates something, then in order for others to catch his reference they must know, at some level of generality, what kind of thing is indicated. They must categorise it as event, object, or quality. Thinking about something needs that much.
     From: M.R. Ayers (Individuals without Sortals [1974], Intro)
     A reaction: Ayers defends the view that such general categories are required, but not the much narrower sortal terms defended by Geach and Wiggins. I'm with Ayers all the way. 'What the hell is that?'
We use sortals to classify physical objects by the nature and origin of their unity [Ayers]
     Full Idea: Sortals are the terms by which we intend to classify physical objects according to the nature and origin of their unity.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Concl')
     A reaction: This is as opposed to using sortals for the initial individuation. I take the perception of the unity to come first, so resemblance must be mentioned, though it can be an underlying (essentialist) resemblance.
Seeing caterpillar and moth as the same needs continuity, not identity of sortal concepts [Ayers]
     Full Idea: It is unnecessary to call moths 'caterpillars' or caterpillars 'moths' to see that they can be the same individual. It may be that our sortal concepts reflect our beliefs about continuity, but our beliefs about continuity need not reflect our sortals.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Realist' vi)
     A reaction: Something that metamorphosed through 15 different stages could hardly required 15 different sortals before we recognised the fact. Ayers is right.
Recognising continuity is separate from sortals, and must precede their use [Ayers]
     Full Idea: The recognition of the fact of continuity is logically independent of the possession of sortal concepts, whereas the formation of sortal concepts is at least psychologically dependent upon the recognition of continuity.
     From: M.R. Ayers (Individuals without Sortals [1974], Intro)
     A reaction: I take this to be entirely correct. I might add that unity must also be recognised.
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Could the same matter have more than one form or principle of unity? [Ayers]
     Full Idea: The abstract question arises of whether the same matter could be subject to more than one principle of unity simultaneously, or unified by more than one 'form'.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Realist' vii)
     A reaction: He suggests that the unity of the sweater is destroyed by unravelling, and the unity of the thread by cutting.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If there are two objects, then 'that marble, man-shaped object' is ambiguous [Ayers]
     Full Idea: The statue is marble and man-shaped, but so is the piece of marble. So not only are the two objects in the same place, but two marble and man-shaped objects in the same place, so 'that marble, man-shaped object' must be ambiguous or indefinite.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Prob')
     A reaction: It strikes me as basic that it can't be a piece of marble if you subtract its shape, and it can't be a statue if you subtract its matter. To treat a statue as an object, separately from its matter, is absurd.
9. Objects / D. Essence of Objects / 5. Essence as Kind
Sortals basically apply to individuals [Ayers]
     Full Idea: Sortals, in their primitive use, apply to the individual.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Concl')
     A reaction: If the sortal applies to the individual, any essence must pertain to that individual, and not to the class it has been placed in.
9. Objects / E. Objects over Time / 5. Temporal Parts
You can't have the concept of a 'stage' if you lack the concept of an object [Ayers]
     Full Idea: It would be impossible for anyone to have the concept of a stage who did not already possess the concept of a physical object.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Concl')
Temporal 'parts' cannot be separated or rearranged [Ayers]
     Full Idea: Temporally extended 'parts' are still mysteriously inseparable and not subject to rearrangement: a thing cannot be cut temporally in half.
     From: M.R. Ayers (Individuals without Sortals [1974], 'Prob')
     A reaction: A nice warning to anyone accepting a glib analogy between spatial parts and temporal parts.
9. Objects / F. Identity among Objects / 1. Concept of Identity
Some say a 'covering concept' completes identity; others place the concept in the reference [Ayers]
     Full Idea: Some hold that the 'covering concept' completes the incomplete concept of identity, determining the kind of sameness involved. Others strongly deny the identity itself is incomplete, and locate the covering concept within the necessary act of reference.
     From: M.R. Ayers (Individuals without Sortals [1974], Intro)
     A reaction: [a bit compressed; Geach is the first view, and Quine the second; Wiggins is somewhere between the two]
9. Objects / F. Identity among Objects / 3. Relative Identity
If diachronic identities need covering concepts, why not synchronic identities too? [Ayers]
     Full Idea: Why are covering concepts required for diachronic identities, when they must be supposed unnecessary for synchronic identities?
     From: M.R. Ayers (Individuals without Sortals [1974], 'Prob')
19. Language / B. Reference / 1. Reference theories
Fictional reference is different inside and outside the fiction [Bach]
     Full Idea: We must distinguish 'reference' in a fiction from reference outside the fiction to fictional entities.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1)
     A reaction: This may be more semantically than ontologically significant. It is perhaps best explicated by Coleridge's distinction over whether or not I am 'suspending my disbelief' when I am discussing a character.
We can refer to fictional entities if they are abstract objects [Bach]
     Full Idea: If fictional entities, such as characters in a play, are real, albeit abstract entities, then we can genuinely refer to them.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1)
     A reaction: [He cites Nathan Salmon 1998] Personally I would prefer to say that abstract entities are fictions. Fictional characters have uncertain identity conditions. Do they all have a pancreas, if this is never mentioned?
You 'allude to', not 'refer to', an individual if you keep their identity vague [Bach]
     Full Idea: If you say 'a special person is coming to visit', you are not referring to but merely 'alluding to' that individual. This does not count as referring because you are not expressing a singular proposition about it.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1 s2)
     A reaction: If you add 'I hope he doesn't wear his red suit, but I hope he plays his tuba', you seem to be expressing singular propositions about the person. Bach seems to want a very strict notion of reference, as really attaching listeners to individuals.
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
What refers: indefinite or definite or demonstrative descriptions, names, indexicals, demonstratives? [Bach]
     Full Idea: Philosophers agree that some expressions refer, but disagree over which ones. Few include indefinite descriptions, but some include definite descriptions, or only demonstrative descriptions. Some like proper names, some only indexicals and demonstratives.
     From: Kent Bach (What Does It Take to Refer? [2006], Intro)
     A reaction: My initial prejudice is rather Strawsonian - that people refer, not language, and it can be done in all sorts of ways. But Bach argues well that only language intrinsically does it. Even pointing fails without linguistic support.
If we can refer to things which change, we can't be obliged to single out their properties [Bach]
     Full Idea: We can refer to things which change over time, which suggests that in thinking of and in referring to an individual we are not constrained to represent it as that which has certain properties.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1)
     A reaction: This seems a good argument against the descriptive theory of reference which is not (I think) in Kripke. Problems like vagueness and the Ship of Theseus rear their heads.
We can think of an individual without have a uniquely characterizing description [Bach]
     Full Idea: Being able to think of an individual does not require being able to identify that individual by means of a uniquely characterizing description.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1 s1)
     A reaction: There is a bit of an equivocation over 'recognise' here. His example is 'the first child born in the 4th century'. We can't visually recognise such people, but the description does fix them, and a records office might give us 'recognition'.
It can't be real reference if it could refer to some other thing that satisfies the description [Bach]
     Full Idea: If one is referring to whatever happens to satisfy a description, and one would be referring to something else were it to have satisfied the description instead, this is known as 'weak' reference,...but surely this is not reference at all.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1 s7)
     A reaction: Bach wants a precise notion of reference, as success in getting the audience to focus on the correct object. He talks of this case as 'singling out' some unfixed thing, and he also has 'alluding to' an unstated thing. Plausible view.
Since most expressions can be used non-referentially, none of them are inherently referential [Bach]
     Full Idea: An embarrassingly simple argument is that most expressions can be used literally but not referentially, no variation in meaning explains this fact, so its meaning is compatible with being non-referential, so no expression is inherently referential.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L2)
     A reaction: I think I have decided that no expression is 'inherently referential', and that it is all pragmatics.
Just alluding to or describing an object is not the same as referring to it [Bach]
     Full Idea: Much of what speakers do that passes for referring is merely alluding or describing. ...It is one thing for a speaker to express a thought about a certain object using an expression, and quite another for the expression to stand for that object.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.3)
     A reaction: Bach builds up a persuasive case for this view. If the question, though, is 'what are you talking about?', then saying what is being alluded to or singled out or described seems fine. Bach is being rather stipulative.
19. Language / B. Reference / 5. Speaker's Reference
Context does not create reference; it is just something speakers can exploit [Bach]
     Full Idea: Context does not determine or constitute reference; rather, it is something for the speaker to exploit to enable the listener to determine the intended reference.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L3)
     A reaction: Bach thinks linguistic reference is a matter of speaker's intentions, and I think he is right. And this idea is right too. The domain of quantification constantly shifts in a conversation, and good speakers and listeners are sensitive to this.
'That duck' may not refer to the most obvious one in the group [Bach]
     Full Idea: If one ducks starts quacking furiously, and you say 'that duck is excited', it isn't context that makes me take it that you are referring to the quacking duck. You could be referring to a quiet duck you recognise by its distinctive colour.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L3)
     A reaction: A persuasive example to make his point against the significance of context in conversational reference. Speaker's intended reference must always trump any apparent reference suggested by context.
What a pronoun like 'he' refers back to is usually a matter of speaker's intentions [Bach]
     Full Idea: To illustrate speakers' intentions, consider the anaphoric reference using pronouns in these: "A cop arrested a robber; he was wearing a badge", and "A cop arrested a robber; he was wearing a mask". The natural supposition is not the inevitable one.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L4)
     A reaction: I am a convert to speakers' intentions as the source of all reference, and this example seems to illustrate it very well. 'He said..' 'Who said?'
Information comes from knowing who is speaking, not just from interpretation of the utterance [Bach]
     Full Idea: It is a fallacy that all the information in an utterance must come from its interpretation, which ignores the essentially pragmatic fact that the speaker is making the utterance.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L4)
     A reaction: [He cites Barwise and Perry 1983:34] This is blatantly obvious in indexical remarks like 'I am tired', where the words don't tell you who is tired. But also 'the car has broken down, dear'.
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
People slide from contextual variability all the way to contextual determination [Bach]
     Full Idea: People slide from contextual variability to context relativity to context sensitivity to context dependence to contextual determination.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L3)
     A reaction: This is reminiscent of the epistemological slide from cultural or individual relativity of some observed things, to a huge metaphysical denial of truth. Bach's warning applies to me, as I have been drifting down his slope lately. Nice.