Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'Explanation - Opening Address'

unexpand these ideas     |    start again     |     specify just one area for these texts


23 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Coherence is consilience, simplicity, analogy, and fitting into a web of belief [Smart]
     Full Idea: I shall make use of the admittedly imprecise notions of consilience, simplicity, analogy and fitting into a web of belief, or in short of 'coherence'.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.06)
     A reaction: Coherence sounds like a family of tests, rather than a single unified concept. I still like coherence, though.
We need comprehensiveness, as well as self-coherence [Smart]
     Full Idea: Not mere self-coherence, but comprehensiveness belongs to the notion of coherence.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.07)
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
I simply reject evidence, if it is totally contrary to my web of belief [Smart]
     Full Idea: The simplest way of fitting the putative observed phenomena of telepathy or clairvoyance into my web of belief is to refuse to take them at face value.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.07-8)
     A reaction: Love it. It is very disconcerting for the sceptical naturalist to be faced with adamant claims that the paranormal has occurred, but my response is exactly the same as Smart's. I reject the reports, no matter how passionately they are asserted.
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
The height of a flagpole could be fixed by its angle of shadow, but that would be very unusual [Smart]
     Full Idea: You could imagine a person using the angle from a theodolite to decide a suitable spot to cut the height of the flagpole, …but since such circumstances would be very unusual we naturally say the flagpole subtends the angle because of its height.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.14)
     A reaction: [compressed; he mentions Van Fraassen 1980:132-3 for a similar point] As a response this seems a bit lame, if the direction is fixed by what is 'usual'. I think the key point is that the direction of explanation is one way or the other, not both.
Universe expansion explains the red shift, but not vice versa [Smart]
     Full Idea: The theory of the expansion of the universe renders the red shift no longer puzzling, whereas he expansion of the universe is hardly rendered less puzzling by facts about the red shift.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.15)
     A reaction: The direction of explanation is, I take it, made obvious by the direction of causation, with questions about what is 'puzzling' as mere side-effects.
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
Explanation of a fact is fitting it into a system of beliefs [Smart]
     Full Idea: I want to characterise explanation of some fact as a matter of fitting belief in this fact into a system of beliefs.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.02)
     A reaction: Sounds good to me. Simple facts slot straight into daily beliefs, and deep obscure facts are explained when we hook them up to things we have already grasped. Quark theory fits into prior physics of forces, properties etc.
Explanations are bad by fitting badly with a web of beliefs, or fitting well into a bad web [Smart]
     Full Idea: An explanation may be bad if it fits only into a bad web of belief. It can also be bad if it fits into a (possibly good) web of belief in a bad sort of way.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.09)
     A reaction: Nice. If you think someone has an absurd web of beliefs, then it counts against some belief (for you) if it fits beautifully into the other person's belief system. Judgement of coherence comes in at different levels.
Deducing from laws is one possible way to achieve a coherent explanation [Smart]
     Full Idea: The Hempelian deductive-nomological model of explanation clearly fits in well with the notion of explanation in terms of coherence. One way of fitting a belief into a system is to show that it is deducible from other beliefs.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.13)
     A reaction: Smart goes on to reject the law-based deductive approach, for familiar reasons, but at least it has something in common with the Smart view of explanation, which is the one I like.
14. Science / D. Explanation / 2. Types of Explanation / d. Consilience
An explanation is better if it also explains phenomena from a different field [Smart]
     Full Idea: One explanation will be a better explanation that another if it also explains a set of phenomena from a different field ('consilience').
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.07)
     A reaction: This would count as 'unexpected accommodation', rather than prediction. It is a nice addition to Lipton's comparison of mere accommodation versus prediction as criteria. It sounds like a strong criterion for a persuasive explanation.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
If scientific explanation is causal, that rules out mathematical explanation [Smart]
     Full Idea: I class mathematical explanation with scientific explanation. This would be resisted by those who, unlike me, regard the notion of causation as essential to scientific explanation.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.02-3)
     A reaction: I aim to champion mathematical explanation, in terms of axioms etc., so I am realising that my instinctive attraction to exclusively causal explanation won't do. What explanation needs is a direction of dependence.
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Scientific explanation tends to reduce things to the unfamiliar (not the familiar) [Smart]
     Full Idea: The history of science suggests that most often explanation is reduction to the unfamiliar.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.11)
     A reaction: Boyle was keen to reduce things to the familiar, but that was early days for science, and some nasty shocks were coming our way. What would Boyle make of quantum non-locality?
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
How does anything get outside itself? [Fodor, by Martin,CB]
     Full Idea: Fodor asks the stirring and basic question 'How does anything get outside itself?'
     From: report of Jerry A. Fodor (works [1986]) by C.B. Martin - The Mind in Nature 03.6
     A reaction: Is this one of those misconceived questions, like major issues concerning 'what's it like to be?' In what sense am I outside myself? Is a mind any more mysterious than a shadow?
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Is intentionality outwardly folk psychology, inwardly mentalese? [Lyons on Fodor]
     Full Idea: For Fodor the intentionality of the propositional-attitude vocabulary of our folk psychology is the outward expression of the inward intentionality of the language of the brain.
     From: comment on Jerry A. Fodor (works [1986]) by William Lyons - Approaches to Intentionality p.39
     A reaction: I would be very cautious about this. Folk psychology works, so it must have a genuine basis in how brains work, but it breaks down in unusual situations, and might even be a total (successful) fiction.
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Are beliefs brains states, but picked out at a "higher level"? [Lyons on Fodor]
     Full Idea: Fodor holds that beliefs are brain states or processes, but picked out at a 'higher' or 'special science' level.
     From: comment on Jerry A. Fodor (works [1986]) by William Lyons - Approaches to Intentionality p.82
     A reaction: I don't think you can argue with this. Levels of physical description exist (e.g. pure physics tells you nothing about the weather), and I think 'process' is the best word for the mind (Idea 4931).
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
Is thought a syntactic computation using representations? [Fodor, by Rey]
     Full Idea: The modest mentalism of the Computational/Representational Theory of Thought (CRTT), associated with Fodor, says mental processes are computational, defined over syntactically specified entities, and these entities represent the world (are also semantic).
     From: report of Jerry A. Fodor (works [1986]) by Georges Rey - Contemporary Philosophy of Mind Int.3
     A reaction: This seems to imply that if you built a machine that did all these things, it would become conscious, which sounds unlikely. Do footprints 'represent' feet, or does representation need prior consciousness?
18. Thought / C. Content / 1. Content
Maybe narrow content is physical, broad content less so [Lyons on Fodor]
     Full Idea: Fodor is concerned with producing a realist and physicalist account of 'narrow content' (i.e. wholly in-the-head content).
     From: comment on Jerry A. Fodor (works [1986]) by William Lyons - Approaches to Intentionality p.54
     A reaction: The emergence of 'wide' content has rather shaken Fodor's game plan. We can say "Oh dear, I thought I was referring to H2O", so there must be at least some narrow aspect to reference.
27. Natural Reality / B. Modern Physics / 1. Relativity / b. General relativity
Unlike Newton, Einstein's general theory explains the perihelion of Mercury [Smart]
     Full Idea: Newtonian celestial mechanics does not explain the advance of the perihelion of Mercury, while Einstein's general theory of relativity does.
     From: J.J.C. Smart (Explanation - Opening Address [1990], p.03)
     A reaction: A perfect example of why explanation is the central concept in science, and probably in all epistemological activity. The desire to know is the desire for an explanation. Once the explanation is obvious, we know.