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All the ideas for 'Individuals without Sortals', 'Cantorian Abstraction: Recon. and Defence' and 'The Laws'

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65 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
We shouldn't always follow where the argument leads! [Lewis on Plato]
     Full Idea: There comes a time not to go on following where the argument leads!
     From: comment on Plato (The Laws [c.348 BCE], 667b) by David Lewis - Against Structural Universals 'Variant'
     A reaction: Lewis is a fine one to talk, since he follows argument that take him past innumerable incredulous stares of onlookers.
2. Reason / A. Nature of Reason / 1. On Reason
It is foolish to quarrel with the mind's own reasoning processes [Plato]
     Full Idea: When the soul quarrels with knowledge or opinion or reason, its natural ruling principles, you have there what I call 'folly'.
     From: Plato (The Laws [c.348 BCE], 689b)
2. Reason / A. Nature of Reason / 4. Aims of Reason
We ought to follow where the argument leads us [Plato]
     Full Idea: We ought to follow where the argument leads us.
     From: Plato (The Laws [c.348 BCE], 667a)
2. Reason / A. Nature of Reason / 9. Limits of Reason
Mortals are incapable of being fully rational [Plato]
     Full Idea: We mustn't assume that mortal eyes will ever be able to look upon reason and get to know it adequately.
     From: Plato (The Laws [c.348 BCE], 897d)
     A reaction: This is in the context of the rational control of the whole Cosmos. I presume Plato would be flabbergasted by the findings of recent physics and cosmology. Did Kant believe that he was being completely rational about ethics?
3. Truth / A. Truth Problems / 3. Value of Truth
Truth has the supreme value, for both gods and men [Plato]
     Full Idea: Truth heads the list of all things good, for gods and men alike.
     From: Plato (The Laws [c.348 BCE], 730c)
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
I think of variables as objects rather than as signs [Fine,K]
     Full Idea: It is natural nowadays to think of variables as a certain kind of sign, but I wish to think of them as a certain kind of object.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §2)
     A reaction: Fine has a theory based on 'arbitrary objects', which is a rather charming idea. The cell of a spreadsheet is a kind of object, I suppose. A variable might be analogous to a point in space, where objects can locate themselves.
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.
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 / 4. Essence as Definition
To grasp a thing we need its name, its definition, and what it really is [Plato]
     Full Idea: There are three elements in any given thing: the first is what the object actually is, the second is the definition of this, and the third is the name.
     From: Plato (The Laws [c.348 BCE], 895d)
     A reaction: I take the importance of this to be its distinction between what it is, and the definition of what it is. Aristotle maintains this distinction, but some modern Aristotelians seem to get the confused. Plato worried a lot more about names than we do.
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')
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Soul is what is defined by 'self-generating motion' [Plato]
     Full Idea: The entity which we call 'soul' is precisely that which is defined by the expression 'self-generating motion'.
     From: Plato (The Laws [c.348 BCE], 896a)
     A reaction: We may suspect that he defines soul in this way for a particular context, aimed at proving the existence of a First Mover. He must think there is more to soul than the generation of movement.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K]
     Full Idea: In traditional abstraction, the colour green merely has the intrinsic property of being green, other properties of things being abstracted away. But why should that be regarded as a type? It must be because the property is common to the instances.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §5)
     A reaction: A nice question which shows that the much-derided single act of abstraction is not sufficient to arrive at a concept, so that abstraction is a more complex matter (perhaps even a rational one) than simple empiricists believe.
16. Persons / B. Nature of the Self / 3. Self as Non-physical
My individuality is my soul, which carries my body around [Plato]
     Full Idea: While I am alive I have nothing to thank for my individuality except my soul, whereas my body is just the likeness that I carry around with me.
     From: Plato (The Laws [c.348 BCE], 959a)
18. Thought / E. Abstraction / 2. Abstracta by Selection
To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]
     Full Idea: In abstracting from the elements of a doubleton to obtain 2, we do not wish to abstract away from all features of the objects. We wish to take account of the fact that the two objects are distinct; this alone should be preserved under abstraction.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §3)
     A reaction: This is Fine's strategy for meeting Frege's objection to abstraction, summarised in Idea 9146. It seems to use the common sense idea that abstraction is not all-or-nothing. Abstraction has degrees (and levels).
We should define abstraction in general, with number abstraction taken as a special case [Fine,K]
     Full Idea: Number abstraction can be taken to be a special case of abstraction in general, which can then be defined without recourse to the concept of number.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §3)
     A reaction: At last, a mathematical logician recognising that they don't have a monopoly on abstraction. It is perfectly obvious that abstractions of simple daily concepts must be chronologically and logically prior to number abstraction. Number of what?
18. Thought / E. Abstraction / 8. Abstractionism Critique
After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]
     Full Idea: In Cantor's abstractionist account there can only be two numbers, 0 and 1. For abs(Socrates) = abs(Plato), since their numbers are the same. So the number of {Socrates,Plato} is {abs(Soc),abs(Plato)}, which is the same number as {Socrates}!
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §1)
     A reaction: Fine tries to answer this objection, which arises from §45 of Frege's Grundlagen. Fine summarises that "indistinguishability without identity appears to be impossible". Maybe we should drop talk of numbers in terms of sets.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
People who value beauty above virtue insult the soul by placing the body above it [Plato]
     Full Idea: When a man values beauty above virtue, the disrespect he shows his soul is total and fundamental, because he argues that the body is more to be honoured than the soul.
     From: Plato (The Laws [c.348 BCE], 727e)
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
An action is only just if it is performed by someone with a just character and outlook [Plato]
     Full Idea: The description 'just' is applicable only to the benefit conferred or injury inflicted by someone with a just character and outlook.
     From: Plato (The Laws [c.348 BCE], 862b)
     A reaction: How should we describe the occasional administering of good justice by a generally wicked judge. Greeks focus on character, but moderns focus on actions.
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
Attempted murder is like real murder, but we should respect the luck which avoided total ruin [Plato]
     Full Idea: An attempted murder should be treated like a successful one, but with respect shown for the luck which saved him from total ruin.
     From: Plato (The Laws [c.348 BCE], 877a)
     A reaction: The earliest reference to moral luck, I think. 'Repect' sounds vague, but it is asking judges to 'take it into consideration', which is quite practical. Attempted murderers are just as dangerous.
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
It would be strange if the gods rewarded those who experienced the most pleasure in life [Plato]
     Full Idea: It would be strange if the gods gave the greatest rewards in heaven to those who led the most pleasant life, rather than the most just.
     From: Plato (The Laws [c.348 BCE], 662c)
     A reaction: All of philosophy is just footnotes to Plato.... See Idea 1454.
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
The conquest of pleasure is the noblest victory of all [Plato]
     Full Idea: The conquest of pleasure is the noblest victory of all.
     From: Plato (The Laws [c.348 BCE], 840c)
     A reaction: Plato's puritanical streak. Even Aristotle doesn't agree with this. Self-control does not imply conquest of pleasure. Has a good professional wine taster conquered pleasure?
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
The only worthwhile life is one devoted to physical and moral perfection [Plato]
     Full Idea: A life devoted to every physical perfection and every moral virtue is the only life worth the name.
     From: Plato (The Laws [c.348 BCE], 807c)
Virtue is a concord of reason and emotion, with pleasure and pain trained to correct ends [Plato]
     Full Idea: Virtue is the general concord of reason and emotion, but there is one key element, which is the correct formation of our feelings of pleasure and pain, which makes us hate what we ought to hate, and love what we ought to love.
     From: Plato (The Laws [c.348 BCE], 653c)
     A reaction: An important truth, taken up by Aristotle. To see another person humiliated gives some people pleasure and other people pain.
A serious desire for moral excellence is very rare indeed [Plato]
     Full Idea: People who are anxious to attain moral excellence with all possible speed are pretty thin on the ground.
     From: Plato (The Laws [c.348 BCE], 718e)
Every crime is the result of excessive self-love [Plato]
     Full Idea: The cause of each and every crime we commit is precisely this excessive love of ourselves.
     From: Plato (The Laws [c.348 BCE], 731e)
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Virtue is the aim of all laws [Plato]
     Full Idea: Virtue is the aim of the laws the legislator lays down.
     From: Plato (The Laws [c.348 BCE], 631a)
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
The Guardians must aim to discover the common element in the four cardinal virtues [Plato]
     Full Idea: The guardians of the state should aim to get an exact idea of the common element in all the four virtues.
     From: Plato (The Laws [c.348 BCE], 965d)
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Excessive laughter and tears must be avoided [Plato]
     Full Idea: Excessive laughter and tears must be avoided.
     From: Plato (The Laws [c.348 BCE], 732c)
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Injustice is the mastery of the soul by bad feelings, even if they do not lead to harm [Plato]
     Full Idea: My general description of injustice is this: the mastery of the soul by anger, fear, pleasure, pain, envy and desires, whether they lead to actual damage or not.
     From: Plato (The Laws [c.348 BCE], 863e)
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
The best people are produced where there is no excess of wealth or poverty [Plato]
     Full Idea: The community in which neither wealth nor poverty exists will produce the finest characters.
     From: Plato (The Laws [c.348 BCE], 679b)
Virtue and great wealth are incompatible [Plato]
     Full Idea: Virtue and great wealth are quite incompatible.
     From: Plato (The Laws [c.348 BCE], 742e)
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Totalitarian states destroy friendships and community spirit [Plato]
     Full Idea: Excessively authoritarian government destroys all friendship and community of spirit in the state.
     From: Plato (The Laws [c.348 BCE], 697d)
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Education in virtue produces citizens who are active but obedient [Plato]
     Full Idea: Education in virtue produces a keen desire to become a perfect citizen who knows how to rule and be ruled as justice demands.
     From: Plato (The Laws [c.348 BCE], 643e)
25. Social Practice / B. Equalities / 1. Grounds of equality
Friendship is impossible between master and slave, even if they are made equal [Plato]
     Full Idea: Even if you proclaim that a master and a slave shall have equal status, friendship between them is inherently impossible.
     From: Plato (The Laws [c.348 BCE], 757a)
Men and women should qualify equally for honours on merit [Plato]
     Full Idea: Men and women who have shown conspicuous merit should qualify for all honours without distinction of sex.
     From: Plato (The Laws [c.348 BCE], 802a)
25. Social Practice / C. Rights / 1. Basis of Rights
Sound laws achieve the happiness of those who observe them [Plato]
     Full Idea: Sound laws achieve the happiness of those who observe them.
     From: Plato (The Laws [c.348 BCE], 631b)
25. Social Practice / D. Justice / 1. Basis of justice
Justice is granting the equality which unequals deserve [Plato]
     Full Idea: Justice consists of granting the 'equality' which unequals deserve to get.
     From: Plato (The Laws [c.348 BCE], 757d)
     A reaction: Beautifully simple, and hard to improve on. It shows the close link between equality and justice, but shows why they are not the same. The main debate about justice concerns the criteria for 'deserving'.
25. Social Practice / E. Policies / 5. Education / b. Education principles
Mathematics has the widest application of any subject on the curriculum [Plato]
     Full Idea: For domestic and public purposes, and all professional skills, no branch of a child's education has as big a range of applications as mathematics.
     From: Plato (The Laws [c.348 BCE], 747a)
Control of education is the key office of state, and should go to the best citizen [Plato]
     Full Idea: The Minister of Education is by far the most important of all the supreme offices of the state; the best all-round citizen in the state should be appointed.
     From: Plato (The Laws [c.348 BCE], 765e)
Children's games should channel their pleasures into adult activity [Plato]
     Full Idea: We should use children's games to channel their pleasures and desires towards activities in which they will have to engage when they are adult.
     From: Plato (The Laws [c.348 BCE], 643c)
25. Social Practice / E. Policies / 5. Education / c. Teaching
The best way to educate the young is not to rebuke them, but to set a good example [Plato]
     Full Idea: The best way to educate the younger generation (as well as yourself) is not to rebuke them but patently to practise all your life what you preach to others.
     From: Plato (The Laws [c.348 BCE], 729c)
Education is channelling a child's feelings into the right course before it understands why [Plato]
     Full Idea: I call 'education' the initial acquisition of virtue by the child, when the feelings of pleasure and affection, pain and hatred, are channelled in the right courses before he can understand the reason why.
     From: Plato (The Laws [c.348 BCE], 653b)
     A reaction: A precursor of Aristotle's view (Ethics 1104b11). A profound, simple and important insight.
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
Creation is not for you; you exist for the sake of creation [Plato]
     Full Idea: Creation is not for your benefit; you exist for the sake of the universe.
     From: Plato (The Laws [c.348 BCE], 903c)
27. Natural Reality / E. Cosmology / 3. The Beginning
Movement is transmitted through everything, and it must have started with self-generated motion [Plato]
     Full Idea: Motion is transmitted to innumerable things, and this must spring from some initial principle, which must be the change effected by self-generated motion.
     From: Plato (The Laws [c.348 BCE], 895a)
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
In 'The Laws', to obey the law is to be obey god [Plato, by MacIntyre]
     Full Idea: The divine is important in 'The Laws' because it is identified with law; to be obedient before the law is to be obedient before god.
     From: report of Plato (The Laws [c.348 BCE]) by Alasdair MacIntyre - A Short History of Ethics Ch.6
     A reaction: Christian conservativism in a nutshell. Plato is rejecting his view in Euthyphro that piety (etc.) must precede the will of the gods. The obvious problem is bad laws, made by corrupt rulers.
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
Self-generating motion is clearly superior to all other kinds of motion [Plato]
     Full Idea: We can't resist the conclusion that the motion which can generate itself is infinitely superior, and all the others are inferior to it.
     From: Plato (The Laws [c.348 BCE], 894d)
     A reaction: Who said you can't get values from facts! Not that the argument depends on superiority. There could be an inferior First Mover, as a bus driver is subservient to the passengers, or (my favourite) a head teacher is inferior to the pupils.
Self-moving soul has to be the oldest thing there is [Plato]
     Full Idea: Soul, being the source of motion, is the most ancient thing there is.
     From: Plato (The Laws [c.348 BCE], 896b)
     A reaction: Plato seems to assume that the First Mover must still exist, which doesn't follow from anything in the argument. The First Pusher could be dead before the last domino falls. Why can't activity be the default state of everything?
The only possible beginning for the endless motions of reality is something self-generated [Plato]
     Full Idea: When the motion in reality is transmitted to thousands of things one after another, the entire sequence of their movements must surely spring from some initial principle, which can hardly be anything except the change effected by self-generated motion.
     From: Plato (The Laws [c.348 BCE], 895a)
     A reaction: This gives a domino picture of reality, with all of reality responding inertly to a first kick. Much better is to see self-generated motion in the active qualities of all matter, as seen in the sea of virtual subatomic particles at the smallest level.
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
Soul must be the cause of all the opposites, such as good and evil or beauty and ugliness [Plato]
     Full Idea: Soul must be cause of good and evil, beauty and ugliness, justice and injustice, and all the opposites.
     From: Plato (The Laws [c.348 BCE], 896d)
If all the motions of nature reflect calculations of reason, then the best kind of soul must direct it [Plato]
     Full Idea: If the movement of the heavens and all that is in them reflects the motion and revolution and calculation of reason ...then clearly we have to admit that it is the best kind of soul that cares for the entire universe and directs it along the best path.
     From: Plato (The Laws [c.348 BCE], 897c)
     A reaction: Most of this passage reflects the cosmological argument - that without some initiating source natural events could not occur - but this slides into the design argument. So who designed mud (which is too inferior to have a Form)?
28. God / C. Attitudes to God / 5. Atheism
If astronomical movements are seen as necessary instead of by divine will, this leads to atheism [Plato]
     Full Idea: If a man studying astronomy sees events apparently happening by necessity rather than being directed by the intention of a benevolent will, he will turn into an atheist.
     From: Plato (The Laws [c.348 BCE], 967a)
29. Religion / A. Polytheistic Religion / 1. Animism
The heavens must be full of gods, controlling nature either externally or from within [Plato]
     Full Idea: A soul or souls have been shown to be cause of all the phenomena, and whether it is by their living presence in matter that they direct all the heavens, or by some other means, we insist that these souls are gods. So 'everything is full of gods'.
     From: Plato (The Laws [c.348 BCE], 899b)
     A reaction: This seems to have little to do with the pagan gods on Olympus. It is also notably not monotheistic. It is somewhere between animism and panpsychism. Does he think the rivers and woods contain gods? Probably not. Just the orderly heavens.
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
There must be at least two souls controlling the cosmos, one doing good, the other the opposite [Plato]
     Full Idea: There must be more than one soul (not fewer than two) controlling movement and the heavens: that which does good, and that which has the opposite capacity.
     From: Plato (The Laws [c.348 BCE], 896e)
     A reaction: [Wording compressed - as often with the dialogues] This idea of controlling opposites is found in Empedocles. Presumably this good soul defers to the Form of the Good, as implied by the Euthyphro Question.