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All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Short History of Modern Philosophy' and 'The Inessential Indexical'

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33 ideas

2. Reason / E. Argument / 1. Argument
A 'teepee' argument has several mutually supporting planks to it [Cappelen/Dever]
     Full Idea: In a 'teepee' argument, a number of argumentative planks intersupport each other. No plank is sufficiently strong to establish the position, but each lends credibility to the others because there is the appearance of a unified phenomenon.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 01.5)
     A reaction: To attack it, they say, you have to identify the separate planks of the argument. It is a moot point whether the teepee might be so imprecise that it is better described as 'coherence'. There is a background support, as well as the planks.
3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
     Full Idea: It is far from clear that a definition of truth can lead to a philosophically satisfactory theory of truth. Tarski's theorem on the undefinability of the truth predicate needs resources beyond those of the language for which it is being defined.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: The idea is that you need a 'metalanguage' for the definition. If I say 'p' is a true sentence in language 'L', I am not making that observation from within language L. The dream is a theory confined to the object language.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
     Full Idea: In semantic theories of truth (Tarski or Kripke), a truth predicate is defined for an object-language. This definition is carried out in a metalanguage, which is typically taken to include set theory or another strong theory or expressive language.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Presumably the metalanguage includes set theory because that connects it with mathematics, and enables it to be formally rigorous. Tarski showed, in his undefinability theorem, that the meta-language must have increased resources.
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
     Full Idea: If truth is not explanatory, truth axioms should not allow proof of new theorems not involving the truth predicate. It is hence said that axiomatic truth should be 'conservative' - not implying further sentences beyond what the axioms can prove.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: [compressed]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
     Full Idea: If truth can be explicitly defined, it can be eliminated, whereas an axiomatized notion of truth may bring all kinds of commitments.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: The general principle that anything which can be defined can be eliminated (in an abstract theory, presumably, not in nature!) raises interesting questions about how many true theories there are which are all equivalent to one another.
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
     Full Idea: The axiomatic approach does not presuppose that truth can be defined. Instead, a formal language is expanded by a new primitive predicate of truth, and axioms for that predicate are then laid down.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Idea 15647 explains why Halbach thinks the definition route is no good.
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
     Full Idea: Axiomatic theories of truth can be presented within very weak logical frameworks which require very few resources, and avoid the need for a strong metalanguage and metatheory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
     Full Idea: According to many deflationists, truth serves merely the purpose of expressing infinite conjunctions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: That is, it asserts sentences that are too numerous to express individually. It also seems, on a deflationist view, to serve for anaphoric reference to sentences, such as 'what she just said is true'.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
     Full Idea: The consistency of set theory cannot be established without assumptions transcending set theory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 2.1)
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Nowadays logic is seen as the science of extensions, not intensions [Scruton]
     Full Idea: Logicians have come increasingly to realise that logic is the science not of the intension, but of the extension of terms.
     From: Roger Scruton (Short History of Modern Philosophy [1981], Ch.4)
     A reaction: I take this to be because the notion of a 'set' is basic, which is defined strictly in terms of its members. This move is probably because we can be clear about extensions, but not intensions. Tidiness is no substitute for complex truth.
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
     Full Idea: The reduction of 2nd-order theories (of properties or sets) to axiomatic theories of truth may be conceived as a form of reductive nominalism, replacing existence assumptions (for comprehension axioms) by ontologically innocent truth assumptions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I like this very much, as weeding properties out of logic (without weeding them out of the world). So-called properties in logic are too abundant, so there is a misfit with their role in science.
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
     Full Idea: Quantification over (certain) properties can be mimicked in a language with a truth predicate by quantifying over formulas. Instead of saying that Tom has the property of being a poor philosopher, we can say 'x is a poor philosopher' is true of Tom.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I love this, and think it is very important. He talks of 'mimicking' properties, but I see it as philosophers mistakenly attributing properties, when actually what they were doing is asserting truths involving certain predicates.
16. Persons / C. Self-Awareness / 2. Knowing the Self
Prioprioception focuses on your body parts, not on your self, or indexicality [Cappelen/Dever]
     Full Idea: Proprioception is not focused single-mindedly on the self, but is focused on a number of objects - the component bodily parts that belong to the self. There is no obvious need for a concept of the self, or of indexicality.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 07.2)
We can acquire self-knowledge with mirrors, not just with proprioception and introspection [Cappelen/Dever]
     Full Idea: Imagine a being that learns everything about itself by watching itself in mirrors, rather than by proprioception and introspection. Surely it can get wet in a storm, even though allegedly distinctive routes of self-knowledge are not available to it?
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 09.3)
     A reaction: [compressed]
Proprioception is only immune from error if you are certain that it represents the agent [Cappelen/Dever]
     Full Idea: The guarantee of immunity from error in prioprioception is only as strong as the guarantee that proprioception only ever represents the proprioceiving agent.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 07.1)
     A reaction: This is part of an interesting and sustained attack on the idea that self-knowledge is immune from error. They are thinking of science-fictiony situations where I am wired up to experience your leg movement. My experiences usually track me, that's all.
17. Mind and Body / C. Functionalism / 1. Functionalism
Folk Functionalism is a Ramsification of our folk psychology [Cappelen/Dever]
     Full Idea: According to Folk Functionalism, mental states are theoretically defined by Ramsifying on our folk-psychological theory.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 06.2)
18. Thought / A. Modes of Thought / 9. Indexical Thought
It is assumed that indexical content is needed to represent the perspective of perception [Cappelen/Dever]
     Full Idea: Because our perceptual states typically represent the world as seen from a perspective, it is sometimes thought that some distinctively indexical kind of content is needed to characterise those states.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 01.4)
     A reaction: They are summarising this view precisely so that they can oppose it, and I think they are right.
All information is objective, and purely indexical information is not much use [Cappelen/Dever]
     Full Idea: Fundamentally, all information is objective information. ...[176] What we want is fully portable information, and information that co-ordinates on the world, rather than on us, is best suited for the task.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 10)
     A reaction: I agree entirely with their thesis. We just pick up information about ourselves, such as who and where we are, which is just like equivalent information about other people. It is isn't a special type of information.
You don't remember your house interior just from an experienced viewpoint [Cappelen/Dever]
     Full Idea: When you recall the look of the inside of your house ....where things are relative to one another is what persists in memory, not where they were relative to you when seen.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 10)
     A reaction: This seems to be a very telling example, though you could postulate some system which converts perspectival input into objective information. But why bother? We seek objective information, not perspectives.
Our beliefs and desires are not organised around ourselves, but around the world [Cappelen/Dever]
     Full Idea: Our view on the world is not primarily a view from a perspective. Our beliefs and desires are not organized around us. They are instead organized around the world itself. Our view is a view from everywhere.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 10)
     A reaction: Slipping in the claim that our desires are also organised around the world is not quite as persuasive as the claim about beliefs. If you want to draw a freehand straight line, focus on the far end of it. The world will guide your hand.
Indexicality is not significantly connected to agency [Cappelen/Dever]
     Full Idea: There are no interesting or distinctive explanatory connections between indexicality and agency.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 01.8)
If some of our thought is tied to its context, it will be hard to communicate it [Cappelen/Dever]
     Full Idea: It is bad news if some of our contents are essentially tied to particular contexts. ...If information needs to be assessed relative to some ur-context, later recipients won't know what to do with it.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 10)
18. Thought / C. Content / 2. Ideas
Cartesian 'ideas' confuse concepts and propositions [Scruton]
     Full Idea: Cartesian 'ideas' seem to be both concepts and propositions at once.
     From: Roger Scruton (Short History of Modern Philosophy [1981], Ch.4)
     A reaction: This seems to be the simple reason why modern philosophers don't like this seventeenth century notion. There is something slightly too tidy about the modern notion of propositions built out of concepts. Animals see propositions in a flash.
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregeans can't agree on what 'senses' are [Cappelen/Dever]
     Full Idea: There is little agreement among Fregeans about what senses are.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 04.5)
     A reaction: I don't take this to be sufficient grounds for dismissing Fregean senses. When we look into the workings of the linguistic mind, there seems little prospect of clarity or agreement.
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
Possible worlds accounts of content are notoriously coarse-grained [Cappelen/Dever]
     Full Idea: Possible worlds accounts of content are notoriously coarse-grained. They fail to distinguish between logical or mathematical truths, ..between metaphysical equivalences, ..between coreferentials, ..and between indexicals and non-indexicals.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 05.5)
     A reaction: [A nice summary, very compressed]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
Indexicals are just non-constant in meaning, and don't involve any special concepts [Cappelen/Dever]
     Full Idea: Once the non-constant characters of expressions has been characterised, there is no further need for additional devices like 'first-person concepts' or 'demonstrative concepts'.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 01.7)
     A reaction: This seems to me to be a wonderfully liberating attack on this issue. There is a kind of creepy mysticism that has been allowed to accrue around indexicals, and it's nonsense.
Fregeans say 'I' differs in reference, so it must also differ in sense [Cappelen/Dever]
     Full Idea: Fregeans tend to treat as a fundamental tenet that sense determines reference; same sense, same reference. From that it follow trivially that indexicals don't have the same sense: different uses of 'I' have different referents, so sense must differ.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 04.6)
     A reaction: Interesting. Since it seems implausible that 'I' is profoundly different when two people use it, this seems to be a strong argument against Frege's distinction. But I rather like Frege's distinction, while being sceptical about 'I', so I'm baffled....
All indexicals can be expressed non-indexically [Cappelen/Dever]
     Full Idea: Whatever can be expressed indexically could be expressed by non-indexical means.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 08.1)
     A reaction: This is the best summary of the thesis of their book. Indexicality in non-essential.
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The basic Kaplan view is that there is truth-conditional content, and contextual character [Cappelen/Dever]
     Full Idea: In what we label 'Basic Kaplanianism', each of the sentences 'Smith is happy' and 'I am happy', as uttered by Smith, has two levels of meaning. The 'content' is a truth-conditional representation. The 'character' is a function from contexts to contents.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 01.6)
     A reaction: They give this as a minimal and plausible account of the situation, without reading huge significance into the indexical. I'm inclined to see the situation in terms of the underlying proposition containing both ingredients.
It is proposed that a huge range of linguistic items are context-sensitive [Cappelen/Dever]
     Full Idea: An enormous amount has been written about whether 'all', 'know', 'might', 'delicious', 'good', 'if, then', 'and', 'red', 'just', 'justified', 'probable', 'local', 'ready', and 'left-right' are context-sensitive.
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 02.3)
     A reaction: The clearest way to approach these things is ask what the (informal) domain of quantification is for that particular context. The domain can shift in the course of a sentence.
20. Action / C. Motives for Action / 2. Acting on Beliefs / b. Action cognitivism
We deny that action involves some special class of beliefs [Cappelen/Dever]
     Full Idea: Maybe there is a class of beliefs that plays a special role in the explanation of action. We have argued against the existence of such a class (or at least any interesting such class).
     From: Cappelen,H/Dever,Josh (The Inessential Indexical [2013], 06.2)
     A reaction: The main class which has been proposed is the one that involves indexical beliefs. I agree with this idea.
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Allegiance is prior to the recognition of individual rights [Scruton]
     Full Idea: Personally I regard allegiance, in the manner of Hegel, as prior to the recognition of individual rights.
     From: Roger Scruton (Short History of Modern Philosophy [1981], Bibliog)
     A reaction: Scruton notoriously generates rather right-wing views from this basis, but it is also the basis of communitarianism, which can take a softer form. It seems to me self-evident that rights cannot be the prime concept in a society. What society?
25. Social Practice / C. Rights / 1. Basis of Rights
A right is a power which is enforced in the name of justice [Scruton]
     Full Idea: Rights are enforced in the name of justice, whereas power is enforced come what may.
     From: Roger Scruton (Short History of Modern Philosophy [1981], Ch.14)
     A reaction: Presumably rights can be claimed as well as enforced, and the notion of a natural right is at least a discussable concept, as in the 'right' of self-defence. Scruton offers us a very right-wing definition of rights.