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All the ideas for 'The Inessential Indexical', 'works' and 'Sources of Knowledge of Mathematics'

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30 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.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]
     Full Idea: Near the end of his life, Frege completely abandoned his logicism, and came to the conclusion that the source of our arithmetical knowledge is what he called 'the Geometrical Source of Knowledge'.
     From: report of Gottlob Frege (Sources of Knowledge of Mathematics [1922]) by Charles Chihara - A Structural Account of Mathematics Intro n3
     A reaction: We have, rather crucially, lost touch with the geometrical origins of arithmetic (such as 'square' numbers), which is good news for the practice of mathematics, but probably a disaster for the philosophy of the subject.
14. Science / B. Scientific Theories / 3. Instrumentalism
Special relativity, unlike general relativity, was operationalist in spirit [Putnam on Einstein]
     Full Idea: Einstein's interpretation of special relativity was operationalist in spirit (in marked contrast to the interpretation he gave to general relativity).
     From: comment on Albert Einstein (works [1915]) by Hilary Putnam - Reason, Truth and History Ch.5
     A reaction: The late twentieth century was polluted with daft relativism, and I hold Einstein partly responsible, suspecting that he was a bad philosopher. The later development of Einstein's view noted here is interesting.
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.
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)
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)
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.
26. Natural Theory / C. Causation / 1. Causation
Einstein took causation to be the bedrock of physics [Einstein, by Coveney/Highfield]
     Full Idea: It is difficult to overplay Einstein's commitment to the concept of causality as the bedrock of physics.
     From: report of Albert Einstein (works [1915]) by P Coveney / R Highfield - The Arrow of Time 3 'problem'
     A reaction: I normally avoid arguments from authority, but this carries a bit of weight (e.g. when Russell tries to oppose it). What happens to Einstein's theories if you remove causation from them?
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
General relativity assumes laws of nature are the same in all frames of reference [Einstein, by Close]
     Full Idea: Einstein came to general relativity from the principles that the laws of nature are the same in all frames of reference.
     From: report of Albert Einstein (works [1915]) by Frank Close - Theories of Everything 5 'Cosmological'
     A reaction: I wish physicists would tell us a bit more about the ontological status of the 'laws of nature'. Presumably they are not supernatural, so there is an aspect of nature which is constant in all frames of reference. Explanation please.
27. Natural Reality / A. Classical Physics / 1. Mechanics / d. Gravity
Newton is a special case of Einstein's general theory, with an infinite speed of light [Einstein, by Close]
     Full Idea: Einstein's general relativity included Newton's theory as a special case: Newton's theory corresponds to the speed of light being infinite relative to the speed of the interacting bodies.
     From: report of Albert Einstein (works [1915]) by Frank Close - Theories of Everything 5 'Gravity'
     A reaction: So Newton's theory was NOT wrong, but he made the false assumption that the speed of light was infinite.
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
The theory is 'special' because it sticks to observers moving straight, at constant speeds [Einstein, by Farmelo]
     Full Idea: Einstein's first theory is 'special' because it only deals with observers who move in a straight line at constant speeds with respect to one another.
     From: report of Albert Einstein (works [1915]) by Graham Farmelo - The Strangest Man 03
     A reaction: Most theories of this period seem to have focused on the simplest cases, for obvious reasons.
Assume the speed of light is constant for all observers, and the laws of physics are the same [Einstein, by Farmelo]
     Full Idea: Einstein assumed that when each observer measures the speed of light in a vacuum, they find the same value, regardless of their speed; and that measurements will lead to agreement on the laws of physics.
     From: report of Albert Einstein (works [1915]) by Graham Farmelo - The Strangest Man 03
     A reaction: So are the laws of physics constant for all observers, irrespective of their speed?
27. Natural Reality / B. Modern Physics / 1. Relativity / b. General relativity
General Relativity says there is no absolute force or acceleration [Einstein, by Close]
     Full Idea: Einstein's General Theory arose from the idea that there is no absolute measure of force and acceleration.
     From: report of Albert Einstein (works [1915]) by Frank Close - Theories of Everything 5 'Gravity'
     A reaction: If absolutely everything is only true relative to something else you wonder what the point of measuring anything is. How big can a 'frame of reference' or 'inertial frame' be. Is the multiverse a frame of reference?
27. Natural Reality / B. Modern Physics / 4. Standard Model / d. Mass
Mass is a measure of energy content [Einstein]
     Full Idea: The mass of a body is the measure of its energy content.
     From: Albert Einstein (works [1915]), quoted by Peter Watson - Convergence 04 'Intro'
     A reaction: If I knew what energy was, this would be very illuminating. This idea is e=mc^2 in words. We now have the Higgs field to consider when trying to understand mass.
27. Natural Reality / C. Space / 6. Space-Time
Space-time arises from the connection between measurements of space and of time [Einstein, by Farmelo]
     Full Idea: Einstein noted that the measurements of space and time are not independent but inextricably linked, leading to the idea of unified space-time (introduced by his former teacher Minkowski).
     From: report of Albert Einstein (works [1915]) by Graham Farmelo - The Strangest Man 03
     A reaction: Notice the instrumentalist assumptions behind this.
28. God / C. Attitudes to God / 5. Atheism
I do not believe in a personal God [Einstein]
     Full Idea: I do not believe in a personal God and I have never denied this but have expressed it clearly.
     From: Albert Einstein (works [1915]), quoted by Richard Dawkins - The God Delusion Ch.1.15
     A reaction: This is an important corrective to those who claim Einstein as religious, on the basis of remarks about God not playing dice etc. See the whole of Dawkins's chapter on Einstein for full discussion.