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All the ideas for 'On the Question of Absolute Undecidability', 'Concepts:where cogn.science went wrong' and 'Coming-to-be and Passing-away (Gen/Corr)'

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43 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Unobservant thinkers tend to dogmatise using insufficient facts [Aristotle]
     Full Idea: Those whom devotion to abstract discussions has rendered unobservant of the facts are too ready to dogmatise on the basis of a few observations.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 316a09)
     A reaction: I totally approve of the idea that a good philosopher should be 'observant'. Prestige in modern analytic philosophy comes from logical ability. There should be some rival criterion for attentiveness to facts, with equal prestige.
2. Reason / D. Definition / 13. Against Definition
We have no successful definitions, because they all use indefinable words [Fodor]
     Full Idea: There are practically no defensible examples of definitions; for all the examples we've got, practically all the words (/concepts) are undefinable.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.3)
     A reaction: I don't think a definition has to be defined all the way down. Aristotle is perfectly happy if you can get a concept you don't understand down to concepts you do. Understanding is the test, not further definitions.
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 / c. Potential infinite
Infinity is only potential, never actual [Aristotle]
     Full Idea: Nothing is actually infinite. A thing is infinite only potentially.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 318a21)
     A reaction: Aristotle is the famous spokesman for this view, though it reappeared somewhat in early twentieth century discussions (e.g. Hilbert). I sympathise with this unfashionable view. Multiple infinites are good fun, but no one knows what they really are.
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)
7. Existence / A. Nature of Existence / 2. Types of Existence
Existence is either potential or actual [Aristotle]
     Full Idea: Some things are-potentially while others are-actually.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 327b24)
     A reaction: I've read a lot of Aristotle, but am still not quite clear what this distinction means. I like the distinction between a thing's actual being and its 'modal profile', but the latter may extend well beyond what Aristotle means by potential being.
If 'exist' is ambiguous in 'chairs and numbers exist', that mirrors the difference between chairs and numbers [Fodor]
     Full Idea: People say 'exist' is ambiguous, because of the difference between 'chairs exist' and 'numbers exist'. A reply goes: the difference between the existence of chairs and the existence of numbers is strikingly like the difference between chairs and numbers.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.3)
     A reaction: To say 'numbers are objects which exist' is, to me, either a funny use of 'exist' or a funny use of 'object'. I think I will now vote for the latter. Just as 'real number' was a funny use of 'number', but we seem to have got used to it.
7. Existence / B. Change in Existence / 1. Nature of Change
True change is in a thing's logos or its matter, not in its qualities [Aristotle]
     Full Idea: In that which underlies a change there is a factor corresponding to the definition [logon] and there is a material factor. When a change is in these constitutive factors there is coming to be or passing away, but in a thing's qualities it is alteration.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 317a24)
     A reaction: This seems to be a key summary of Aristotle's account of change, in the context of his hylomorphism (form-plus-matter). The logos is the account of the thing, which seems to be the definition, which seems to give the form (principle or structure).
A change in qualities is mere alteration, not true change [Aristotle]
     Full Idea: When a change occurs in the qualities [pathesi] and is accidental [sumbebekos], there is alteration (rather than true change).
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 317a27)
     A reaction: [tr. partly Gill] Aristotle doesn't seem to have a notion of 'properties' in quite our sense. 'Pathe' seems to mean experienced qualities, rather than genuine causal powers. Gill says 'pathe' are always accidental.
If the substratum persists, it is 'alteration'; if it doesn't, it is 'coming-to-be' or 'passing-away' [Aristotle]
     Full Idea: Since we must distinguish the substratum and the property whose nature is to be predicated of the substratum,..there is alteration when the substratum persists...but when nothing perceptible persists as a substratum, this is coming-to-be and passing-away.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 319b08-16)
     A reaction: As usual, Aristotle clarifies the basis of the problem, by distinguishing two different types of change. Notice the empirical character of his approach, resting on whether or not the substratum is 'perceptible'.
7. Existence / B. Change in Existence / 2. Processes
All comings-to-be are passings-away, and vice versa [Aristotle]
     Full Idea: Every coming-to-be is a passing away of something else and every passing-away some other thing's coming-to-be.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 319a07)
     A reaction: This seems to be the closest that Aristotle gets to sympathy with the Heraclitus view that all is flux. When a sparrow dies and disappears, I am not at all clear what comes to be, except some ex-sparrow material.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
Empiricists use dispositions reductively, as 'possibility of sensation' or 'possibility of experimental result' [Fodor]
     Full Idea: Using dispositional analyses in aid of ontological reductions is what empiricism taught us. If you are down on cats, reduce them to permanent possibilities of sensation; if you are down on electrons, reduce them to possibilities of experimental outcome.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1)
     A reaction: The cats line is phenomenalism; the electrons line is instrumentalism. I like this as a serious warning about dispositions, even where they seem most plausible, as in the disposition of glass to break when struck. Why is it thus disposed?
9. Objects / C. Structure of Objects / 3. Matter of an Object
Matter is the substratum, which supports both coming-to-be and alteration [Aristotle]
     Full Idea: Matter, in the proper sense of the term, is to be identified with the substratum which is receptive of coming-to-be and passing-away; but the substratum of the remaining kinds of change is also matter, because these substrata receive contraries.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 320a03)
     A reaction: This must be compared with his complex discussion of the role of matter in his Metaphysics, where he has introduced 'form' as the essence of things. I don't think the two texts are inconsistent, but it's tricky... See Idea 12133 on types of change.
9. Objects / E. Objects over Time / 10. Beginning of an Object
Does the pure 'this' come to be, or the 'this-such', or 'so-great', or 'somewhere'? [Aristotle]
     Full Idea: The question might be raised whether substance (i.e. the 'this') comes-to-be at all. Is it not rather the 'such', the 'so-great', or the 'somewhere', which comes-to-be?
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 317b21)
     A reaction: This is interesting because it pulls the 'tode ti', the 'this-such', apart, showing that he does have a concept of a pure 'this', which seems to constitute the basis of being ('ousia'). We can say 'this thing', or 'one of these things'.
Philosophers have worried about coming-to-be from nothing pre-existing [Aristotle]
     Full Idea: In addition, coming-to-be may proceed out of nothing pre-existing - a thesis which, more than any other, preoccupied and alarmed the earliest philosophers.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 317b29)
     A reaction: This is the origin of the worry about 'ex nihilo' coming-to-be. Christians tended to say that only God could create in this way.
The substratum changing to a contrary is the material cause of coming-to-be [Aristotle]
     Full Idea: The substratum [hupokeimenon?] is the material cause of the continuous occurrence of coming-to-be, because it is such as to change from contrary to contrary.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 319a19)
     A reaction: Presumably Aristotle will also be seeking the 'formal' cause as well as the 'material' cause (not to mention the 'efficient' and 'final' causes).
If a perceptible substratum persists, it is 'alteration'; coming-to-be is a complete change [Aristotle]
     Full Idea: There is 'alteration' when the substratum is perceptible and persists, but changes in its own properties. ...But when nothing perceptible persists in its identity as a substratum, and the thing changes as a whole, it is coming-to-be of a substance.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 319b11-17)
     A reaction: [compressed] Note that a substratum can be perceptible - it isn't just some hidden mystical I-know-not-what (as Locke calls it). This whole text is a wonderful source on the subject of physical change. Note too the reliance on what is perceptible.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Which of the contrary features of a body are basic to it? [Aristotle]
     Full Idea: What sorts of contrarities, and how many of them, are to be accounted 'originative sources' of body?
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 329b04)
     A reaction: Pasnau says these pages of Aristotle are the source of the doctrine of primary and secondary qualities. Essentially, hot, cold, wet and dry are his four primary qualities.
12. Knowledge Sources / D. Empiricism / 2. Associationism
Associationism can't explain how truth is preserved [Fodor]
     Full Idea: The essential problem is to explain how thinking manages reliably to preserve truth; and Associationism, as Kant rightly pointed out to Hume, hasn't the resources to do so.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1)
     A reaction: One might be able to give an associationist account of truth-preservation if one became a bit more externalist about it, so that the normal association patterns track their connections with the external world.
18. Thought / C. Content / 2. Ideas
Mental representations are the old 'Ideas', but without images [Fodor]
     Full Idea: The idea that there are mental representations is the idea that there are Ideas minus the idea that Ideas are images.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1)
     A reaction: Good for you, Fodor. I've always thought that the vociferous contempt with which modern philosphers refer to the old notion of 'Ideas' was grossly exaggerated. At last someone puts a clear finger on what seems to be the difficulty.
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Fodor is now less keen on the innateness of concepts [Fodor, by Lowe]
     Full Idea: Fodor has recently changed his mind about the innateness of concepts, which he formerly championed.
     From: report of Jerry A. Fodor (Concepts:where cogn.science went wrong [1998]) by E.J. Lowe - Introduction to the Philosophy of Mind Ch.7 n25
     A reaction: There is some sensible middle road to be charted here. We presumably do not have an innate idea of a screwdriver, but there are plenty of basic concepts in logic and perception that are plausibly thought of as innate.
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
It is essential to the concept CAT that it be satisfied by cats [Fodor]
     Full Idea: Nothing in any mental life could be the concept CAT unless it is satisfied by cats. If you haven't got a concept that applies to cats, that entails that you haven't got the CAT concept.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.2)
     A reaction: Of course, having a concept that applies to cats doesn't entail that you have the CAT concept. Quine's 'gavagai', for example. I think Fodor is right in this idea.
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
I prefer psychological atomism - that concepts are independent of epistemic capacities [Fodor]
     Full Idea: I argue for a very strong version of psychological atomism; one according to which what concepts you have is conceptually and metaphysically independent of what epistemic capacities you have.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1)
     A reaction: This is a frontal assault on the tradition of Frege, Dummett and Peacocke. I immediately find Fodor's approach more congenial, because he wants to say what a concept IS, rather than just place it within some larger scheme of things.
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Definable concepts have constituents, which are necessary, individuate them, and demonstrate possession [Fodor]
     Full Idea: The definition theory says that concepts are complex structures which entail their constituents. By saying this, it guarantees both the connection between content and necessity, and the connection between concept individuation and concept possession.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.5)
     A reaction: He cites Pinker as a spokesman for the definitional view. This is the view Fodor attacks, in favour of his atomistic account. He adds in a note that his view also offered to reduce conceptual truth to logical truth.
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
Many concepts lack prototypes, and complex prototypes aren't built from simple ones [Fodor]
     Full Idea: Many concepts have no prototypes; and there are many complex concepts whose prototypes aren't related to the prototypes of their constituents in the way compositional explanation of productivity and systematicity requires.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.5)
     A reaction: His favourite example of the latter is 'pet fish', where the prototype of 'pet' is hardly ever a fish, and the prototype of 'fish' is usually much bigger than goldfish. Fodor is arguing that concepts are atomic.
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
The theory theory can't actually tell us what concepts are [Fodor]
     Full Idea: If the theory theory has a distinctive and coherent answer to the 'What's a concept?' question on offer, it's a well-kept secret.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.5)
     A reaction: Not an argument, but worth recording as an attitude. I certainly agree that accounts which offer some sort of answer to 'What is a concept?' have an immediate head's start on those which don't.
19. Language / C. Assigning Meanings / 2. Semantics
English has no semantic theory, just associations between sentences and thoughts [Fodor]
     Full Idea: English has no semantics. Learning English isn't learning a theory about what its sentences mean, it's learning how to associate its sentences with the corresponding thoughts.
     From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1)
     A reaction: This sounds remarkably close to John Locke's account of language (which I always thought was seriously underrated). Presumably we can then say that the 'thought' (or Locke's 'idea') is the meaning, which is old-fashioned real meanings.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
Matter is the limit of points and lines, and must always have quality and form [Aristotle]
     Full Idea: The matter is that of which points and lines are limits, and it is something that can never exist without quality and without form.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 320b16)
     A reaction: There seems to be a contradiction here somewhere. Matter has to be substantial enough to have a form, and yet seems to be the collective 'limit' of the points and lines. I wonder what 'limit' is translating? Sounds a bit too modern.
The primary matter is the substratum for the contraries like hot and cold [Aristotle]
     Full Idea: We must reckon as an 'orginal source' and as 'primary' the matter which underlies, though it is inseparable from the contrary qualities: for 'the hot' is not matter for 'the cold' nor 'cold' for 'hot', but the substratum is matter for them both.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 329a30)
     A reaction: A much discussed passage.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
There couldn't be just one element, which was both water and air at the same time [Aristotle]
     Full Idea: No one supposes a single 'element' to persist, as the basis of all, in such a way that it is Water as well as Air (or any other element) at the same time.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 332a09)
     A reaction: Of course, we now think that oxygen is a key part of both water and of air, but Aristotle's basic argument still seems right. How could multiplicity be explained by a simply unity? The One is cool, but explains nothing.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
The Four Elements must change into one another, or else alteration is impossible [Aristotle]
     Full Idea: These bodies (Fire, Water and the like) change into one another (and are not immutable as Empedocles and other thinkers assert, since 'alteration' would then have been impossible).
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 329b1)
     A reaction: This is why Aristotle proposes that matter [hule] underlies the four elements. Gill argues that by matter Aristotle means the elements.
Fire is hot and dry; Air is hot and moist; Water is cold and moist; Earth is cold and dry [Aristotle]
     Full Idea: The four couples of elementary qualities attach themselves to the apparently 'simple' bodies (Fire, Air, Earth, Water). Fire is hot and dry, whereas Air is hot and moist (being a sort of aqueous vapour); Water is cold and moist, and Earth is cold and dry.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 330b02)
     A reaction: This is the traditional framework accepted throughout the middle ages, and which had a huge influence on medicine. It all looks rather implausible now. Aristotle was a genius, but not critical enough about evidence.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Bodies are endlessly divisible [Aristotle]
     Full Idea: Bodies are divisible through and through.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 326b27)
     A reaction: This is Aristotle's flat rejection of atomism, arrived at after several sustained discussions, in this text and elsewhere. I don't think we are in a position to say that Aristotle is wrong.
Wood is potentially divided through and through, so what is there in the wood besides the division? [Aristotle]
     Full Idea: If having divided a piece of wood I put it together, it is equal to what it was and is one. This is so whatever the point at which I cut the wood. The wood is therefore divided potentially through and through. So what is in the wood besides the division?
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 316b11)
     A reaction: Part of a very nice discussion of the implications of the thought experiment of cutting something 'through and through'. It seems to me that the arguments are still relevant, in the age of quarks, electrons and strings.
If a body is endlessly divided, is it reduced to nothing - then reassembled from nothing? [Aristotle]
     Full Idea: Dividing a body at all points might actually occur, so the body will be both actually indivisible and potentially divided. Then nothing will remain and the body passes into what is incorporeal. So it might be reassembled out of points, or out of nothing.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 316b24)
     A reaction: [a bit compressed] This sounds like an argument in favour of atomism, but Aristotle was opposed to that view. He is aware of the contradictions that seem to emerge with infinite division. Graham Priest is interesting on the topic.
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
There is no time without movement [Aristotle]
     Full Idea: There can be no time without movement.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 337a24)
     A reaction: See Shoemaker's nice thought experiment as a challenge to this. Intuition seems to cry out that if movement stopped for a moment, that would not stop time, even though there was no way to measure its passing.
27. Natural Reality / E. Cosmology / 2. Eternal Universe
If each thing can cease to be, why hasn't absolutely everything ceased to be long ago? [Aristotle]
     Full Idea: If some one of the things 'which are' is constantly disappearing, why has not the whole of 'what is' been used up long ago and vanished away - assuming of course that the material of all the several comings-to-be was infinite?
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 318a17)
     A reaction: This thought is the basis of Aquinas's Third Way for proving the existence of God (as the force which prevents the vicissitudes of nature from sliding into oblivion).
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
Being is better than not-being [Aristotle]
     Full Idea: Being is better than not-being.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 336b29)
     A reaction: [see also Metaphysics 1017a07 ff, says the note] This peculiar assumption is at the heart of the ontological argument. Is the existence of the plague bacterium, or of Satan, or of mass-murderers, superior?
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
An Order controls all things [Aristotle]
     Full Idea: There is an Order controlling all things.
     From: Aristotle (Coming-to-be and Passing-away (Gen/Corr) [c.335 BCE], 336b13)
     A reaction: Presumably the translator provides the capital letter. How do we get from 'there is an order in all things' to 'there is an order which controls all things'?