Combining Philosophers

All the ideas for Eucleides, Eric R. Scerri and G.E. Moore

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53 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / b. Modern philosophy beginnings
Moore's 'The Nature of Judgement' (1898) marked the rejection (with Russell) of idealism [Moore,GE, by Grayling]
     Full Idea: The rejection of idealism by Moore and Russell was marked in 1898 by the publication of Moore's article 'The Nature of Judgement'.
     From: report of G.E. Moore (The Nature of Judgement [1899]) by A.C. Grayling - Russell Ch.2
     A reaction: This now looks like a huge landmark in the history of British philosophy.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
The main aim of philosophy is to describe the whole Universe. [Moore,GE]
     Full Idea: It seems to me that the most important and interesting thing which philosophers have tried to do ...is to give a general description of the whole of the Universe.
     From: G.E. Moore (Some Main Problems of Philosophy [1911], Ch. 1)
     A reaction: He adds that they aim to show what is in it, and what might be in it, and how the two relate. This sort of big view is the one I favour. I think the hallmark of philosophical thought is a high level of generality. He next proceeds to defend common sense.
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis for Moore and Russell is carving up the world, not investigating language [Moore,GE, by Monk]
     Full Idea: For Moore and Russell analysis is not - as is commonly understood now - a linguistic activity, but an ontological one. To analyse a proposition is not to investigate language, but to carve up the world so that it begins to make some sort of sense.
     From: report of G.E. Moore (The Nature of Judgement [1899]) by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.4
     A reaction: A thought dear to my heart. The twentieth century got horribly side-tracked into thinking that ontology was an entirely linguistic problem. I suggest that physicists analyse physical reality, and philosophers analyse abstract reality.
8. Modes of Existence / A. Relations / 2. Internal Relations
A relation is internal if two things possessing the relation could not fail to be related [Moore,GE, by Heil]
     Full Idea: Moore characterises internal relations modally, as those essential to their relata. If a and b are related R-wise, and R is an internal relation, a and b could not fail to be so related; otherwise R is external.
     From: report of G.E. Moore (External and Internal Relations [1919]) by John Heil - Relations 'Internal'
     A reaction: I don't think of Moore as an essentialist, but this fits the essentialist picture nicely, and is probably best paraphrased in terms of powers. Integers are the standard example of internal relations.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Moore's Paradox: you can't assert 'I believe that p but p is false', but can assert 'You believe p but p is false' [Moore,GE, by Lowe]
     Full Idea: Moore's Paradox says it makes no sense to assert 'I believe that p, but p is false', even though it makes perfectly good sense to assert 'I used to believe p, but p is false' or 'You believe p, but p is false'.
     From: report of G.E. Moore (works [1905]) by E.J. Lowe - Introduction to the Philosophy of Mind Ch.10
     A reaction: I'm not sure if this really deserves the label of 'paradox'. I take it as drawing attention to the obvious fact that belief is commitment to truth. I think my assessment that p is true is correct, but your assessment is wrong. ('True' is not redundant!)
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
Arguments that my finger does not exist are less certain than your seeing my finger [Moore,GE]
     Full Idea: This really is a finger ...and you all know it. ...I can safely challenge anyone to give an argument that it is not true, which does not rest upon some premise which is less certain than is the proposition which it is designed to attack.
     From: G.E. Moore (Some Judgements of Perception [1922], p.228), quoted by John Kekes - The Human Condition 01.3
     A reaction: [In Moore's 'Philosophical Studies'] This is a particularly clear statement from Moore of his famous claim. I'm not sure what to make of an attempt to compare a sceptical argument (dreams, demons) with the sight of a finger.
I can prove a hand exists, by holding one up, pointing to it, and saying 'here is one hand' [Moore,GE]
     Full Idea: I can prove now that two human hands exist. How? By holding up my two hands, and saying, as I make a certain gesture with the right hand, 'Here is one hand', and adding, as I gesture with the left, 'and here is another'.
     From: G.E. Moore (Proof of an External World [1939], p.1)
     A reaction: The words need to be spoken, presumably, so that what he is doing fits into the linguistic conventions of what will normally be accepted as a proof. In fact, just holding the hand up seems enough. The proof begs the question of virtual reality.
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.
19. Language / B. Reference / 1. Reference theories
The Electra: she knows this man, but not that he is her brother [Eucleides, by Diog. Laertius]
     Full Idea: The 'Electra': Electra knows that Orestes is her brother, but not that this man is Orestes, so she knows and does not know her brother simultaneously.
     From: report of Eucleides (fragments/reports [c.410 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Eu.4
     A reaction: Hence we distinguish 'know of', 'know that' and 'know how'. Hence Russell makes 'knowledge by acquaintance' fundamental, and descriptions come later.
19. Language / D. Propositions / 3. Concrete Propositions
Moor bypassed problems of correspondence by saying true propositions ARE facts [Moore,GE, by Potter]
     Full Idea: Moore avoided the problematic correspondence between propositions and reality by identifying the former with the latter; the world consists of true propositions, and there is no difference between a true proposition and the fact that makes it true.
     From: report of G.E. Moore (The Nature of Judgement [1899]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 28 'Refut'
     A reaction: This is "the most platonic system of modern times", he wrote (letter 14.8.1898). He then added platonist ethics. This is a pernicious and absurd doctrine. The obvious problem is that false propositions can be indistinguishable, but differ in ontology.
19. Language / D. Propositions / 5. Unity of Propositions
Hegelians say propositions defy analysis, but Moore says they can be broken down [Moore,GE, by Monk]
     Full Idea: Moore rejected the Hegelian view, that a proposition is a unity that defies analysis; instead, it is a complex that positively cries out to be broken up into its constituent parts, which parts Moore called 'concepts'.
     From: report of G.E. Moore (The Nature of Judgement [1899]) by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.4
     A reaction: Russell was much influenced by this idea, though it may be found in Frege. Anglophone philosophers tend to side instantly with Moore, but the Hegel view must be pondered. An idea comes to us in a unified flash, before it is articulated.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The beautiful is whatever it is intrinsically good to admire [Moore,GE]
     Full Idea: The beautiful should be defined as that of which the admiring contemplation is good in itself.
     From: G.E. Moore (Principia Ethica [1903], p.210), quoted by Graham Farmelo - The Strangest Man
     A reaction: To work, this definition must exclude anything else which it is intrinsically good to admire. Good deeds obviously qualify for that, so good deeds must be intrinsically beautiful (which would be agreed by ancient Greeks). We can't ask WHY it is good!
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Moore tries to show that 'good' is indefinable, but doesn't understand what a definition is [MacIntyre on Moore,GE]
     Full Idea: Moore tries to show that 'good' is indefinable by relying on a bad dictionary definition of 'definition'.
     From: comment on G.E. Moore (Principia Ethica [1903]) by Alasdair MacIntyre - After Virtue: a Study in Moral Theory Ch.2
     A reaction: An interesting remark, with no further explanation offered. If Moore has this problem, then Plato had it too (see Idea 3032). I would have thought that any definition MacIntyre could offer would either be naturalistic, or tautological.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
The Open Question argument leads to anti-realism and the fact-value distinction [Boulter on Moore,GE]
     Full Idea: Moore's Open Question argument led, however unintentionally, to the rise of anti-realism in meta-ethics (which leads to distinguishing values from facts).
     From: comment on G.E. Moore (Principia Ethica [1903]) by Stephen Boulter - Why Medieval Philosophy Matters 4
     A reaction: I presume that Moore proves that the Good is not natural, and after that no one knows what it is, so it seems to be arbitrary or non-existent (rather than the platonic fact that Moore had hoped for). I vote for naturalistic ethics.
The naturalistic fallacy claims that natural qualties can define 'good' [Moore,GE]
     Full Idea: The naturalistic fallacy ..consists in the contention that good means nothing but some simple or complex notion, that can be defined in terms of natural qualities.
     From: G.E. Moore (Principia Ethica [1903], §044)
     A reaction: Presumably aimed at those who think morality is pleasure and pain. We could hardly attribute morality to non-human qualities. I connect morality to human deliberative functions.
Moore cannot show why something being good gives us a reason for action [MacIntyre on Moore,GE]
     Full Idea: Moore's account leaves it entirely unexplained and inexplicable why something's being good should ever furnish us with a reason for action.
     From: comment on G.E. Moore (Principia Ethica [1903]) by Alasdair MacIntyre - A Short History of Ethics Ch.18
     A reaction: The same objection can be raised to Plato's Form of the Good, but Plato's answer seems to be that the Good is partly a rational entity, and partly that the Good just has a natural magnetism that makes it quasi-religious.
Can learning to recognise a good friend help us to recognise a good watch? [MacIntyre on Moore,GE]
     Full Idea: How could having learned to recognize a good friend help us to recognize a good watch? Yet is Moore is right, the same simple property is present in both cases?
     From: comment on G.E. Moore (Principia Ethica [1903]) by Alasdair MacIntyre - A Short History of Ethics Ch.18
     A reaction: It begins to look as if what they have in common is just that they both make you feel good. However, I like the Aristotelian idea that they both function succesfully, one as a timekeeper, the other as a citizen or companion.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Moore's combination of antinaturalism with strong supervenience on the natural is incoherent [Hanna on Moore,GE]
     Full Idea: Moore incoherently combines his antinaturalism with the thesis that intrinsic-value properties are logically strongly supervenient on (or explanatorily reducible to) natural facts.
     From: comment on G.E. Moore (Principia Ethica [1903]) by Robert Hanna - Rationality and Logic Ch.1
     A reaction: I take this to be Moore fighting shy of the strongly Platonist view of values which his arguments all seemed to imply.
Despite Moore's caution, non-naturalists incline towards intuitionism [Moore,GE, by Smith,M]
     Full Idea: Although Moore was reluctant to adopt it, the epistemology the non-naturalists tended to favour was intuitionism.
     From: report of G.E. Moore (Principia Ethica [1903]) by Michael Smith - The Moral Problem 2.2
     A reaction: Moore was presumably reluctant because intuitionism had been heavily criticised in the past for its inability to settle moral disputes. But if you insist that goodness is outside nature, what other means of knowing it is available? Reason?
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
We should ask what we would judge to be good if it existed in absolute isolation [Moore,GE]
     Full Idea: It is necessary to consider what things are such that, if they existed by themselves, in absolute isolation, we should yet judge their existence to be good.
     From: G.E. Moore (Principia Ethica [1903], §112)
     A reaction: This is known as the 'isolation test'. The test has an instant appeal, but looks a bit odd after a little thought. The value of most things drains out of them if they are totally isolated. The MS of the Goldberg Variations floating in outer space?
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
It is always an open question whether anything that is natural is good [Moore,GE]
     Full Idea: Good does not, by definition, mean anything that is natural; and it is therefore always an open question whether anything that is natural is good.
     From: G.E. Moore (Principia Ethica [1903], §027)
     A reaction: This is the best known modern argument for Platonist idealised ethics. But maybe there is no end to questioning anywhere, so each theory invites a further question, and nothing is ever fully explained? Next stop - pragmatism.
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The chief good is unity, sometimes seen as prudence, or God, or intellect [Eucleides]
     Full Idea: The chief good is unity, which is known by several names, for at one time people call it prudence, at another time God, at another intellect, and so on.
     From: Eucleides (fragments/reports [c.410 BCE]), quoted by Diogenes Laertius - Lives of Eminent Philosophers 02.9.2
     A reaction: So the chief good is what unites and focuses our moral actions. Kant calls that 'the will'.
The three main values are good, right and beauty [Moore,GE, by Ross]
     Full Idea: Moore describes rightness and beauty as the two main value-attributes, apart from goodness.
     From: report of G.E. Moore (Principia Ethica [1903]) by W. David Ross - The Right and the Good §IV
     A reaction: This was a last-throw of the Platonic ideal, before we plunged into the value-free world of Darwin and the physicists. It is hard to agree with Moore, but also hard to disagree. Why do many people despise or ignore these values?
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
For Moore, 'right' is what produces good [Moore,GE, by Ross]
     Full Idea: Moore claims that 'right' means 'productive of the greatest possible good'.
     From: report of G.E. Moore (Principia Ethica [1903]) by W. David Ross - The Right and the Good §I
     A reaction: Ross is at pains to keep 'right' and 'good' as quite distinct notions. Some actions are right but very unpleasant, and seem to produce no real good at all.
'Right' means 'cause of good result' (hence 'useful'), so the end does justify the means [Moore,GE]
     Full Idea: 'Right' does and can mean nothing but 'cause of a good result', and is thus identical with 'useful', whence it follows that the end always will justify the means.
     From: G.E. Moore (Principia Ethica [1903], §089)
     A reaction: Of course, Moore does not identify utility with pleasure, as his notion of what is good concerns fairly Platonic ideals. Would Stalin's murders have been right if Russia were now the happiest nation on Earth?
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Relationships imply duties to people, not merely the obligation to benefit them [Ross on Moore,GE]
     Full Idea: Moore's 'Ideal Utilitarianism' seems to unduly simplify our relations to our fellows. My neighbours are merely possible beneficiaries by my action. But they also stand to me as promiser, creditor, husband, friend, which entails prima facie duties.
     From: comment on G.E. Moore (Principia Ethica [1903]) by W. David Ross - The Right and the Good §II
     A reaction: Perhaps it is better to say that we have obligations to benefit particular people, because of our obligations, and that we are confined to particular benefits which meet those obligations - not just any old benefit to any old person.
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')