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All the ideas for 'Abstract Objects: a Case Study', 'Letters to Des Bosses' and 'Anarchy,State, and Utopia'

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31 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
We can grasp the wisdom of God a priori [Leibniz]
     Full Idea: We can grasp the wisdom of God a priori, and not from the order of the phenomena alone. ... For the senses put nothing forward concerning metaphysical matters.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: Nice instance of the aspirations of big metaphysics, before Kant cut it down to size. The claim is not far off Plato's, that by dialectic we can work out the necessities of the Forms, to which even the gods must bow. Are necessities really kept from us?
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Without a substantial chain to link monads, they would just be coordinated dreams [Leibniz]
     Full Idea: If that substantial chain [vinculum substantiale] for monads did not exist, all bodies, together with all of their qualities, would be nothing but well-founded phenomena, like a rainbow or an image in a mirror, continual dreams perfectly in agreement.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1712.02.05)
     A reaction: [The first appearance, apparently, of the 'susbtantial chain' in his writings] I take this to be a hugely significant move, either a defeat for monads, or the arrival of common sense. Spiritual monads must unify things, so they can't just be 'parallel'.
Monads do not make a unity unless a substantial chain is added to them [Leibniz]
     Full Idea: Monads do not constitute a complete composite substance, since they make up, not something one per se, but only a mere aggregate, unless some substantial chain is added.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1712.05.26)
     A reaction: This is the clearest statement in the Des Bosses letters of the need for something extra to unite monads. Since the main role of monads was to replace substances, which are only postulated to provide unity, this is rather a climb-down.
Monads control nothing outside of themselves [Leibniz]
     Full Idea: Monads aren't a principle of operation for things outside of themselves.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: This is why Leibniz has got into a tangle, and is proposing his 'substantial chain' to join the monads together. I suspect that he would have dumped monads if he had lived a bit longer.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
There is active and passive power in the substantial chain and in the essence of a composite [Leibniz]
     Full Idea: I do not say there is a chain midway between matter and form, but that the substantial form and primary matter of the composite, in the Scholastic sense (the primitive power, active and passive) are in the chain, and in the essence of the composite.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: Note that this implies an essence of primitive power, and not just a collection of all properties. This is the clearest account in these letters of the nature of the 'substantial chain' he has added to his monads.
Primitive force is what gives a composite its reality [Leibniz]
     Full Idea: The first entelechy of a composite is a constitutive part of the composite substance, namely its primitive force.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: For me, Leibniz's most interesting proposal is to characterise Aristotelian 'form' as an active thing, which offers an intrinsic account of movement, and a bottom level for explanations. There always remains the inexplicable. Why anything? Why this?
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Things seem to be unified if we see duration, position, interaction and connection [Leibniz]
     Full Idea: Important relations are duration (order of successive things) and position (order of coexisting things) and interaction. Position without a thing mediating is presence. Beyond these is connection when things move one another. Thus things seem to be one.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1712.02.05)
     A reaction: [compressed] This is the best account I can find of his epistemological angle on the unity of things. They are symptoms of the inner power of unification, and he says that God sees these relations most clearly.
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Every substance is alive [Leibniz]
     Full Idea: Every substance is alive.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1712.02.05)
     A reaction: The most charitable interpretation of this is that substances are what have unity, and the best model of unity that we can grasp is the unity of an organism. The less charitable view is that he literally thinks a pebble is 'alive'. Hm.
9. Objects / D. Essence of Objects / 6. Essence as Unifier
A substantial bond of powers is needed to unite composites, in addition to monads [Leibniz]
     Full Idea: Some realising thing must bring it about that composite substance contains something substantial besides monads, otherwise composites will be mere phenomena. The scholastics' active and passive powers are the substantial bond I am urging.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.01.13), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 9
     A reaction: [compressed] This appears to be a major retreat, in the last year of Leibniz's life, from the full monadology he had espoused. How do monads connect to matter, and thus unify it? He is returning to Aristotelian hylomorphism.
9. Objects / D. Essence of Objects / 12. Essential Parts
A composite substance is a mere aggregate if its essence is just its parts [Leibniz]
     Full Idea: An aggregate, but not a composite substance, is resolved into parts. A composite substance only needs the coming together of parts, but is not essentially constituted by them, otherwise it would be an aggregate.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: The point is that there is more to some things than there mere parts. Only some unifying principle, in addition to the mere parts, bestows a unity. Mereology is a limited activity if it has nothing to say about this issue.
10. Modality / B. Possibility / 1. Possibility
There is a reason why not every possible thing exists [Leibniz]
     Full Idea: There is a reason why not every possible thing exists.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: This is the kind of wonderful speculative metaphysical remark that we are not allowed to make any more. Needless to say, he doesn't tell us what the reason is. Overcrowding, perhaps.
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
Truth is mutually agreed perception [Leibniz]
     Full Idea: In the mutual agreement of perceivers consists the truth of the phenomena.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: This remark is startling close to the 'perspectivism' that crops up in the late notebooks of Nietzsche. Leibniz was keen on relativism in many areas, starting with the nature of space. I personally think Leibniz meant 'knowledge' rather than 'truth'.
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Freedom to live according to our own conception of the good is the ultimate value [Nozick, by Kymlicka]
     Full Idea: Nozick says that the freedom to lead our lives in accordance with our own conception of the good is the ultimate value, so important that it cannot be sacrificed for other social ideals (e.g. equality of opportunity).
     From: report of Robert Nozick (Anarchy,State, and Utopia [1974]) by Will Kymlicka - Contemporary Political Philosophy (1st edn) 4.2.b.ii
     A reaction: Clearly this ultimate value will not apply to children, so this view needs a sharp dislocation between children and adults. But some adults need a lot of looking after. Maybe we ALL need looking after (by one another)?
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
If an experience machine gives you any experience you want, should you hook up for life? [Nozick]
     Full Idea: Suppose there were an experience machine that would give you any experience you desired ...such as writing a great novel, or making a friend, or reading an interesting book. ...Should you plug into this machine for life?
     From: Robert Nozick (Anarchy,State, and Utopia [1974], 3 'Experience')
     A reaction: A classic though experiment which crystalises a major problem with hedonistic utilitarianism. My addition is a machine which maximises the pleasure of my family and friends, to save me the bother of doing it.
24. Political Theory / B. Nature of a State / 1. Purpose of a State
A minimal state should protect, but a state forcing us to do more is unjustified [Nozick]
     Full Idea: A minimal state, limited to the narrow functions of protection against force, theft, fraud, enforcement of contracts, and so on, is justified; any more extensive state will violate persons' rights not to be forced to do certain things, and is unjustified.
     From: Robert Nozick (Anarchy,State, and Utopia [1974], Pref)
     A reaction: This has some plausibility for a huge modern state, where we don't know one another, but it would be a ridiculous attitude in a traditional village.
24. Political Theory / D. Ideologies / 2. Anarchism
Individual rights are so strong that the state and its officials must be very limited in power [Nozick]
     Full Idea: Individuals have rights, and there are things no person or group may do to them (without violating their rights). So strong and far-reaching are these rights that they raise the question of what, if anything, the state and its officials may do.
     From: Robert Nozick (Anarchy,State, and Utopia [1974], Pref)
     A reaction: This claim appears to be an axiom, but I'm not sure that the notion of 'rights' make any sense unless someone is granting the rights, where the someone is either a strong individual, or the community (perhaps represented by the state).
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
States can't enforce mutual aid on citizens, or interfere for their own good [Nozick]
     Full Idea: A state may not use its coercive apparatus for the purposes of getting some citizens to aid others, or in order to prohibit activities to people for their own good or protection.
     From: Robert Nozick (Anarchy,State, and Utopia [1974], Pref)
     A reaction: You certainly can't apply these principles to children, so becoming an 'adult' seems to be a very profound step in Nozick's account. At what age must we stop interfering with people for their own good. If the state is prohibited, are neighbours also?
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
My Anarchy, State and Utopia neglected our formal social ties and concerns [Nozick on Nozick]
     Full Idea: The political philosophy represented in Anarchy, State and Utopia ignored the importance of joint and official symbolic statement and expression of our social ties and concern, and hence (I have written) is inadequate.
     From: comment on Robert Nozick (Anarchy,State, and Utopia [1974], p.32) by Robert Nozick - The Nature of Rationality p.32
     A reaction: In other words, it was far too individualistic, and neglected community, even though it has become the sacred text for libertarian individualism. Do any Nozick fans care about this recantation?
25. Social Practice / A. Freedoms / 4. Free market
If people hold things legitimately, just distribution is simply the result of free exchanges [Nozick, by Kymlicka]
     Full Idea: If we assume that everyone is entitled to the goods they currently possess (their 'holdings'), then a just distribution is simply whatever distribution results from people's free exchanges.
     From: report of Robert Nozick (Anarchy,State, and Utopia [1974]) by Will Kymlicka - Contemporary Political Philosophy (1st edn) 4.1.b
     A reaction: If people's current 'legitimate' holdings are hugely unequal, it seems very unlikely that the ensuing exchanges will be 'free' in the way that Nozick envisages.
25. Social Practice / C. Rights / 4. Property rights
Property is legitimate by initial acquisition, voluntary transfer, or rectification of injustice [Nozick, by Swift]
     Full Idea: Nozick identified three ways in which people can acquire a legitimate property holding: initial acquisition, voluntary transfer, and rectification (of unjust transfers).
     From: report of Robert Nozick (Anarchy,State, and Utopia [1974]) by Adam Swift - Political Philosophy (3rd ed) 1 'Nozick'
     A reaction: I think it is a delusion to look for justice in the ownership of property. You can't claim justice for buying property if the money to do it was acquired unjustly. And what rights over those who live on the land come with the 'ownership'?
Nozick assumes initial holdings include property rights, but we can challenge that [Kymlicka on Nozick]
     Full Idea: Nozick assumes that the initial distribution of holdings includes full property-rights over them, ..but our preferred theory may not involve distributing such particular rights to particular people. ...The legitimacy of such rights is what is in question.
     From: comment on Robert Nozick (Anarchy,State, and Utopia [1974]) by Will Kymlicka - Contemporary Political Philosophy (1st edn) 4.1.c
     A reaction: [somewhat compressed] All of these political philosophies seem to have questionable values (such as freedom or equality) built into their initial assumptions.
Can I come to own the sea, by mixing my private tomato juice with it? [Nozick]
     Full Idea: If I own a can of tomato juice and spill it in the sea so that its molecules mingle evenly throughout the sea, do I thereby come to own the sea?
     From: Robert Nozick (Anarchy,State, and Utopia [1974], p.175)
     A reaction: This is a reductio of Locke's claim that I can own land by 'mixing' my labour with it. At first glance, mixing something with something would seem to have nothing to do with ownership.
How did the private property get started? If violence was involved, we can redistribute it [Kymlicka on Nozick]
     Full Idea: How did these natural resources, which were not initially owned by anyone, come to be part of someone's private property? ...The fact that the initial acquisition often involved force means there is no moral objection to redistributing existing wealth.
     From: comment on Robert Nozick (Anarchy,State, and Utopia [1974]) by Will Kymlicka - Contemporary Political Philosophy (1st edn) 4.2.b
     A reaction: [He cites G.A. Cphen 1988 for the second point] Put like this, Nozick's theory just looks like the sort of propaganda which is typically put out by the winners. Is there an implicit threat of violent resistance in his advocacy of individual rights?
If property is only initially acquired by denying the rights of others, Nozick can't get started [Kymlicka on Nozick]
     Full Idea: If there is no way that people can appropriate unowned resources for themselves without denying other people's claim to equal consideration, then Nozick's right of transfer never gets off the ground.
     From: comment on Robert Nozick (Anarchy,State, and Utopia [1974]) by Will Kymlicka - Contemporary Political Philosophy (1st edn) 4.2.b.i
     A reaction: The actual history of these things is too complex to judge. Early peoples desperately wanted a lord to rule over them, and their lord's ownership of the land implied the people's right to live there. See Anglo-Saxon poetry.
Unowned things may be permanently acquired, if it doesn't worsen the position of other people [Nozick]
     Full Idea: One may acquire a permanent bequeathable property right in a previously unowned thing, as long as the position of others no longer at liberty to use the thing is not thereby worsened.
     From: Robert Nozick (Anarchy,State, and Utopia [1974], p.178), quoted by G.A. Cohen - Are Freedom and Equality Compatible? 2
     A reaction: Cohen attacks this vigorously. His main point is that Nozick has a very narrow view of what the acquisition should be compared with. There are many alternatives. Does being made unable to improve something 'worsen' a person's condition?
Maybe land was originally collectively owned, rather than unowned? [Cohen,GA on Nozick]
     Full Idea: Why should we not regard land as originally collectively owned rather than, as Nozick takes for granted, owned by no one?
     From: comment on Robert Nozick (Anarchy,State, and Utopia [1974], p.178) by G.A. Cohen - Are Freedom and Equality Compatible? 2
     A reaction: Did native Americans and Australians collectively own the land? Lots of peoples, I suspect, don't privately own anything, because the very concept has never occured to them (and they have no legal system).
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
Allow no more miracles than are necessary [Leibniz]
     Full Idea: Miracles should not be increased beyond necessity.
     From: Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
     A reaction: Leibniz defends miracles (where Spinoza dismisses them). This remark is, of course, an echo of Ockham's Razor, that 'entities' should not be multiplied beyond necessity. It is hard to disagree with his proposal. Zero might be result, though.