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All the ideas for 'Individuals without Sortals', 'Truth by Convention' and 'The Periodic Table'

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53 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
If if time is money then if time is not money then time is money then if if if time is not money... [Quine]
     Full Idea: If if time is money then if time is not money then time is money then if if if time is not money then time is money then time is money then if time is money then time is money.
     From: Willard Quine (Truth by Convention [1935], p.95)
     A reaction: Quine offers this with no hint of a smile. I reproduce it for the benefit of people who hate analytic philosophy, and get tired of continental philosophy being attacked for its obscurity.
2. Reason / D. Definition / 7. Contextual Definition
Definition by words is determinate but relative; fixing contexts could make it absolute [Quine]
     Full Idea: A definition endows a word with complete determinacy of meaning relative to other words. But we could determine the meaning of a new word absolutely by specifying contexts which are to be true and contexts which are to be false.
     From: Willard Quine (Truth by Convention [1935], p.89)
     A reaction: This is the beginning of Quine's distinction between the interior of 'the web' and its edges. The attack on the analytic/synthetic distinction will break down the boundary between the two. Surprising to find 'absolute' anywhere in Quine.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Quine quickly dismisses If-thenism [Quine, by Musgrave]
     Full Idea: Quine quickly dismisses If-thenism.
     From: report of Willard Quine (Truth by Convention [1935], p.327) by Alan Musgrave - Logicism Revisited §5
     A reaction: [Musgrave quotes a long chunk of Quine which is hard to compress!] Effectively, he says If-thenism is cheating, or begs the question, by eliminating whole sections of perfectly good mathematics, because they cannot be derived from axioms.
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey]
     Full Idea: Quine argues that logic could not be established by conventions, since the logical truths, being infinite in number, must be given by general conventions rather than singly; and logic is needed in the meta-theory, to apply to individual cases.
     From: report of Willard Quine (Truth by Convention [1935]) by Georges Rey - The Analytic/Synthetic Distinction 3.4
     A reaction: A helpful insight into Quine's claim. If only someone would print these one sentence summaries at the top of classic papers, we would all get far more out of them at first reading. Assuming Rey is right!
Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine]
     Full Idea: If logic and mathematics being true by convention says the primitives can be conventionally described, that works for anything, and is empty; if the conventions are only for those fields, that's uninteresting; if a general practice, that is false.
     From: Willard Quine (Truth by Convention [1935], p.102)
     A reaction: This is Quine's famous denial of the traditional platonist view, and the new Wittgensteinian conventional view, preparing the ground for a more naturalistic and empirical view. I feel more sympathy with Quine than with the other two.
Logic isn't conventional, because logic is needed to infer logic from conventions [Quine]
     Full Idea: If logic is to proceed mediately from conventions, logic is needed for inferring logic from the conventions. Conventions for adopting logical primitives can only be communicated by free use of those very idioms.
     From: Willard Quine (Truth by Convention [1935], p.104)
     A reaction: A common pattern of modern argument, which always seems to imply that nothing can ever get off the ground. I suspect that there are far more benign circles in the world of thought than most philosophers imagine.
If a convention cannot be communicated until after its adoption, what is its role? [Quine]
     Full Idea: When a convention is incapable of being communicated until after its adoption, its role is not clear.
     From: Willard Quine (Truth by Convention [1935], p.106)
     A reaction: Quine is discussing the basis of logic, but the point applies to morality - that if there is said to be a convention at work, the concepts of morality must already exist to get the conventional framework off the ground. What is it that comes first?
6. Mathematics / A. Nature of Mathematics / 2. Geometry
If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine]
     Full Idea: Geometry can be brought into line with logicism simply by identifying figures with arithmetical relations with which they are correlated thought analytic geometry.
     From: Willard Quine (Truth by Convention [1935], p.87)
     A reaction: Geometry was effectively reduced to arithmetic by Descartes and Fermat, so this seems right. You wonder, though, whether something isn't missing if you treat geometry as a set of equations. There is more on the screen than what's in the software.
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.
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
There are four different possible conventional accounts of geometry [Quine]
     Full Idea: We can construe geometry by 1) identifying it with algebra, which is then defined on the basis of logic; 2) treating it as hypothetical statements; 3) defining it contextually; or 4) making it true by fiat, without making it part of logic.
     From: Willard Quine (Truth by Convention [1935], p.99)
     A reaction: [Very compressed] I'm not sure how different 3 is from 2. These are all ways to treat geometry conventionally. You could be more traditional, and say that it is a description of actual space, but the multitude of modern geometries seems against this.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
If mathematics follows from definitions, then it is conventional, and part of logic [Quine]
     Full Idea: To claim that mathematical truths are conventional in the sense of following logically from definitions is the claim that mathematics is a part of logic.
     From: Willard Quine (Truth by Convention [1935], p.79)
     A reaction: Quine is about to attack logic as convention, so he is endorsing the logicist programme (despite his awareness of Gödel), but resisting the full Wittgenstein conventionalist picture.
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
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.
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.
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')
14. Science / A. Basis of Science / 4. Prediction
If a theory can be fudged, so can observations [Scerri]
     Full Idea: A theorist may have designed his theory to fit the facts, but is it not equally possible for observers to be influenced by a theory in their report of experimental facts?
     From: Eric R. Scerri (The Periodic Table [2007], 05 'Power')
     A reaction: This is in reply to Lipton's claim that prediction is better than accommodation because of the 'fudging' problem. The reply is that you might fudge to achieve a prediction. If it was correct, that wouldn't avoid the charge of fudging.
14. Science / B. Scientific Theories / 4. Paradigm
The periodic system is the big counterexample to Kuhn's theory of revolutionary science [Scerri]
     Full Idea: The history of the periodic system appears to be the supreme counterexample to Kuhn's thesis, whereby scientific developments proceed in a sudden, revolutionary fashion.
     From: Eric R. Scerri (The Periodic Table [2007], 03 'Rapid')
     A reaction: What is lovely about the periodic table is that it seems so wonderfully right, and hence no revolution has ever been needed. The big theories of physics and cosmology are much more precarious.
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Scientists eventually seek underlying explanations for every pattern [Scerri]
     Full Idea: Whenever scientists are presented with a useful pattern or system of classification, it is only a matter of time before the begin to ask whether there may be some underlying explanation for the pattern.
     From: Eric R. Scerri (The Periodic Table [2007], Intro 'Evol')
     A reaction: Music to my ears, against the idea that the sole aim of science is accurately describe the patterns.
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
The periodic table suggests accommodation to facts rates above prediction [Scerri]
     Full Idea: Rather than proving the value of prediction, the development and acceptance of the periodic table may give us a powerful illustration of the importance of accommodation, that is, the ability of a new scientific theory to explain already known facts.
     From: Eric R. Scerri (The Periodic Table [2007], 05 'Intro')
     A reaction: The original table made famous predictions, but also just as many wrong ones (Scerri:143), and Scerri thinks this aspect has been overrated.
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Natural kinds are what are differentiated by nature, and not just by us [Scerri]
     Full Idea: Natural kinds are realistic scientific entities that are differentiated by nature itself rather than by our human attempts at classification.
     From: Eric R. Scerri (The Periodic Table [2007], Intro 'Evol')
If elements are natural kinds, might the groups of the periodic table also be natural kinds? [Scerri]
     Full Idea: Elements defined by their atomic numbers are frequently assumed to represent 'natural kinds' in chemistry. ...The question arises as to whether groups of elements appearing in the periodic table might also represent natural kinds.
     From: Eric R. Scerri (The Periodic Table [2007], 10 'Elements')
     A reaction: Scerri says the distinction is not as sharp as that between the elements. As a realist, he believes there is 'one ideal periodic classification', which would then make the periods into kinds.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
The colour of gold is best explained by relativistic effects due to fast-moving inner-shell electrons [Scerri]
     Full Idea: Many seemingly mundane properties of elements such as the characteristic color of gold ....can best be explained by relativistic effects due to fast-moving inner-shell electrons.
     From: Eric R. Scerri (The Periodic Table [2007], 01 'Under')
     A reaction: John Locke - I wish you were reading this! That we could work out the hidden facts of gold, and thereby explain and predict the surface properties we experience, is exactly what Locke thought to be forever impossible.
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
The stability of nuclei can be estimated through their binding energy [Scerri]
     Full Idea: The stability of nuclei can be estimated through their binding energy, a quantity given by the difference between their masses and the masses of their constituent particles.
     From: Eric R. Scerri (The Periodic Table [2007], 10 'Stabil')
If all elements are multiples of one (of hydrogen), that suggests once again that matter is unified [Scerri]
     Full Idea: The work of Moseley and others rehabilitated Prout's hypothesis that all elements were composites of hydrogen, being exact multiples of 1. ..This revitalized some philososophical notions of the unity of all matter, criticised by Mendeleev and others.
     From: Eric R. Scerri (The Periodic Table [2007], 06 'Philos')
27. Natural Reality / F. Chemistry / 1. Chemistry
The electron is the main source of chemical properties [Scerri]
     Full Idea: It is the electron that is mainly responsible for the chemical properties of the elements.
     From: Eric R. Scerri (The Periodic Table [2007], 06 'Intro')
A big chemistry idea is that covalent bonds are shared electrons, not transfer of electrons [Scerri]
     Full Idea: One of the most influential ideas in modern chemistry is of a covalent bond as a shared pair of electrons (not as transfer of electrons and the formation of ionic bonds).
     From: Eric R. Scerri (The Periodic Table [2007], 08 'Intro')
     A reaction: Gilbert Newton Lewis was responsible for this.
How can poisonous elements survive in the nutritious compound they compose? [Scerri]
     Full Idea: A central mystery of chemistry is how the elements survive in the compounds they form. For example, how can poisonous grey metal sodium combine with green poisonous gas chlorine, to make salt, which is non-poisonous and essential for life?
     From: Eric R. Scerri (The Periodic Table [2007], Intro 'Elem')
     A reaction: A very nice question which had never occurred to me. If our digestive system pulled the sodium apart from the chlorine, we would die.
Periodicity and bonding are the two big ideas in chemistry [Scerri]
     Full Idea: The two big ideas in chemistry are chemical periodicity and chemical bonding, and they are deeply interconnected.
     From: Eric R. Scerri (The Periodic Table [2007], Intro 'Per')
Chemistry does not work from general principles, but by careful induction from large amounts of data [Scerri]
     Full Idea: Unlike in physics, chemical reasoning does not generally proceed unambiguously from general principles. It is a more inductive science in which large amounts of observational data must be carefully weighed.
     From: Eric R. Scerri (The Periodic Table [2007], 05 'Mendel')
     A reaction: This is why essentialist thinking was important for Mendeleev, because it kept his focus on the core facts beneath the messy and incomplete data.
Does radioactivity show that only physics can explain chemistry? [Scerri]
     Full Idea: Some authors believe that the interpretation of the properties of the elements passed from chemistry to physics as a result of the discovery of radioactivity. ...I believe this view to be overly reductionist.
     From: Eric R. Scerri (The Periodic Table [2007], 06 'Radio')
     A reaction: It is all a matter of the explanations, and how far down they have to go. If most non-radiocative chemistry doesn't need to mention the physics, then chemistry is largely autonomous.
27. Natural Reality / F. Chemistry / 2. Modern Elements
It is now thought that all the elements have literally evolved from hydrogen [Scerri]
     Full Idea: The elements are now believed to have literally evolved from hydrogen by various mechanisms.
     From: Eric R. Scerri (The Periodic Table [2007], 10 'Evol)
19th C views said elements survived abstractly in compounds, but also as 'material ingredients' [Scerri]
     Full Idea: In the 19th century abstract elements were believed to be permanent and responsible for observed properties in compounds, but (departing from Aristotle) they were also 'material ingredients', thus linking the metaphysical and material realm.
     From: Eric R. Scerri (The Periodic Table [2007], 04 'Nature')
     A reaction: I'm not sure I can make sense of this gulf between the metaphysical and the material realm, so this was an account heading for disaster.
27. Natural Reality / F. Chemistry / 3. Periodic Table
Moseley, using X-rays, showed that atomic number ordered better than atomic weight [Scerri]
     Full Idea: By using X-rays, Henry Moseley later discovered that a better ordering principle for the periodic system is atomic numbers rather than atomic weight, by subjecting many different elements to bombardment.
     From: Eric R. Scerri (The Periodic Table [2007], 06 'Intro')
     A reaction: Moseley was killed in the First World War at the age of 26. It is interesting that they more or less worked out the whole table, before they discovered the best principle on which to found it.
Some suggested basing the new periodic table on isotopes, not elements [Scerri]
     Full Idea: Some chemists even suggested that the periodic table would have to be abandoned in favor of a classification system that included a separate place for every single isotope.
     From: Eric R. Scerri (The Periodic Table [2007], 06 'Intro')
     A reaction: The extreme case is tin, which has 21 isotopes, so is tin a fundamental, or is each of the isotopes a fundamental? Does there have to be a right answer to that? All tin isotopes basically react in the same way, so we stick with the elements table.
Elements are placed in the table by the number of positive charges - the atomic number [Scerri]
     Full Idea: The serial number of an element in the periodic table, its atomic number, corresponds to the number of positive charges in the atom.
     From: Eric R. Scerri (The Periodic Table [2007], 07 'Models')
     A reaction: Note that this is a feature of the nucleus, despite that fact that the electrons decide the chemical properties. A nice model for Locke's views on essentialism.
Elements in the table are grouped by having the same number of outer-shell electrons [Scerri]
     Full Idea: The modern notion is that atoms fall into the same group of the periodic table if they possess the same numbers of outer-shell electrons.
     From: Eric R. Scerri (The Periodic Table [2007], 07 'Quantum')
     A reaction: Scerri goes on to raise questions about this, on p.242. By this principle helium should be an alkaline earth element, but it isn't.
Orthodoxy says the periodic table is explained by quantum mechanics [Scerri]
     Full Idea: The prevailing reductionist climate implies that quantum mechanics inevitably provides a more fundamental explanation for the periodic system.
     From: Eric R. Scerri (The Periodic Table [2007], 08 'Concl')
     A reaction: Scerri has argued that chemists did much better than physicists in working out how the outer electron shells of atoms worked, by induction from data, rather than inference from basic principles.
Pauli explained the electron shells, but not the lengths of the periods in the table [Scerri]
     Full Idea: Pauli explained the maximum number of electrons successive shells can accommodate, ...but it does not explain the lengths of the periods, which is the really crucial property of the periodic table.
     From: Eric R. Scerri (The Periodic Table [2007], 07 'Pauli')
     A reaction: Paulis' Exclusion Principle says no two electrons in an atom can have the same set of four quantum numbers. He added 'spin' as a fourth number. It means 'electrons cannot be distinguished' (243). Scerri says the big problem is still not fully explained.
Moseley showed the elements progress in units, and thereby clearly identified the gaps [Scerri]
     Full Idea: Moseley's work showed that the successive elements in the periodic table have an atomic number greater by one unit. The gaps could then be identified definitively, as 43, 61, 72, 75, 85, 87, and 91.
     From: Eric R. Scerri (The Periodic Table [2007], 06 'Henry')
     A reaction: [compressed]
Elements were ordered by equivalent weight; later by atomic weight; finally by atomic number [Scerri]
     Full Idea: Historically, the ordering of elements across periods was determined by equivalent weight, then later by atomic weight, and eventually by atomic number.
     From: Eric R. Scerri (The Periodic Table [2007], 01 'React')
     A reaction: So they used to be ordered by quantities (measured by real numbers), but eventually were ordered by unit items (counted by natural numbers). There need to be distinct protons (unified) to be counted.
The best classification needs the deepest and most general principles of the atoms [Scerri]
     Full Idea: An optimal classification can be obtained by identifying the deepest and most general principles that govern the atoms of the elements.
     From: Eric R. Scerri (The Periodic Table [2007], 10 'Continuum')
     A reaction: He adds (p.286) that the best system will add the 'greatest degree of regularity' to these best principles.
To explain the table, quantum mechanics still needs to explain order of shell filling [Scerri]
     Full Idea: The order of shell filling has not yet been deduced from first principles, and this issue cannot be avoided if one is to really ask whether quantum mechanics explains the periodic system in a fundamental manner.
     From: Eric R. Scerri (The Periodic Table [2007], 09 'From')
Since 99.96% of the universe is hydrogen and helium, the periodic table hardly matters [Scerri]
     Full Idea: All the elements other than hydrogen and helium make up just 0.04% of the universe. Seen from this perspective, the periodic table appears to rather insignificant.
     From: Eric R. Scerri (The Periodic Table [2007], 10 'Astro')