10419
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If relations can be reduced to, or supervene on, monadic properties of relata, they are not real [Leibniz, by Swoyer]
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Full Idea:
Leibniz argued that relations could be reduced to monadic properties and so were dispensable, and some still agree, saying relations supervene on monadic properties of the relata, and are not actually real.
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From:
report of Gottfried Leibniz (works [1690]) by Chris Swoyer - Properties 7.4
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A reaction:
At the very least a background of space and/or time seem required, in addition to any properties the relata may have. y only becomes 'to the left of x' when x appears to its right, so the relation doesn't seem to be intrinsic to y.
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13078
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Relations aren't in any monad, so they are distributed, so they are not real [Leibniz]
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Full Idea:
The relations which connect two monads are not in either the one or the other, but equally in both at once; and therefore properly speaking, in neither. I do not think you would wish to posit an accident which would inhere simultaneously in two subjects.
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From:
Gottfried Leibniz (works [1690], G II:517), quoted by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 2.4.3
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A reaction:
Where Russell affirms relations as universals, and scholastics make them properties of individuals, Leibniz denies their reality entirely. It seems obvious that once the objects and properties are there, the relations come for free.
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21346
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The ratio between two lines can't be a feature of one, and cannot be in both [Leibniz]
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Full Idea:
If the ratio of two lines L and M is conceived as abstracted from them both, without considering which is the subject and which the object, which will then be the subject? We cannot say both, for then we should have an accident in two subjects.
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From:
Gottfried Leibniz (Letters to Samuel Clarke [1716], 5th Paper, §47), quoted by John Heil - Relations 'External'
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A reaction:
[compressed] Leibniz is rejecting external relations as having any status in ontology. It looks like a mistake (originating in Aristotle) to try to shoehorn the ontology of relations into the substance-properties framework.
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12733
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Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]
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Full Idea:
The primary mechanical axiom is that the whole cause and the entire effect have the same power [potentia]. ..This depends on the definition of cause, effect and power.
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From:
Gottfried Leibniz (De arcanus motus [1676], 203), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 6
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A reaction:
This is a useful reminder that if one is going to build a metaphysics on powers (which I intend to do), then the conservation laws in physics are highly relevant.
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12735
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Everything has a fixed power, as required by God, and by the possibility of reasoning [Leibniz]
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Full Idea:
It follows from the nature of God that there is a fixed power of a definite magnitude [non vagam] in anything whatsoever, otherwise there would be no reasonings about those things.
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From:
Gottfried Leibniz (De aequopollentia causae et effectus [1679], A6.4.1964), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 6
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A reaction:
This is double-edged. On the one hand there is the grand claim that the principle derives from divine nature, but on the other it derives from our capacity to reason and explain. No one doubts that powers are 'fixed'.
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12967
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I use the word 'entelechy' for a power, to include endeavour, as well as mere aptitude [Leibniz]
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Full Idea:
If 'power' is the source of action, it means more than aptitude or ability. It also includes endeavour. It is in order to express this sense that I appropriate the term 'entelechy' to stand for power.
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From:
Gottfried Leibniz (New Essays on Human Understanding [1704], 2.22)
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A reaction:
An 'entelechy' is, roughly, an instantiated thing, but I like what Leibniz is fishing for here - that we will never understand the world if we think of it as passive.
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12710
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As well as extension, bodies contain powers [Leibniz]
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Full Idea:
Over and above what can be deduced from extension, we must add and recognise in bodies certain notions or forms that are immaterial, so to speak, or independent of extension, which you can call powers [potentia], by which speed is adjusted to magnitude.
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From:
Gottfried Leibniz (De Natura Corporis [1678], A6.4.1980), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 3
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A reaction:
He boldly asserts that the powers are 'immaterial', but is then forced to qualify it (as he often does) with 'so to speak'. The notion that bodies just have extension (occupy space) comes from Descartes, and is firmly opposed by Leibniz.
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13079
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A substance contains the laws of its operations, and its actions come from its own depth [Leibniz]
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Full Idea:
Each indivisible substance contains in its nature the law by which the series of its operations continues, and all that has happened and will happen to it. All its actions come from its own depths, except for dependence on God.
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From:
Gottfried Leibniz (Letters to Antoine Arnauld [1686], 1688.01.4/14)
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A reaction:
I take the combination of 'laws' and 'forces', which Leibniz attributes to Aristotelian essences, to be his distinctive contribution towards giving us an Aristotelian metaphysic which is suitable for modern science.
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12708
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The soul is not a substance but a substantial form, the first active faculty [Leibniz]
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Full Idea:
The soul, properly and accurately speaking, is not a substance, but a substantial form, or the primitive form existing in substances, the first act, the first active faculty.
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From:
Gottfried Leibniz (Letters to Fardella [1690], A6.4.1670), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 2
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A reaction:
In all of Leibniz's many gropings towards what is at the heart of a unified object, I pounce on the phrase "the first active faculty" as the one that suits me. I take that to be a 'power'. It has two characteristics - it is active, and it is basic.
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12723
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The most primitive thing in substances is force, which leads to their actions and dispositions [Leibniz]
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Full Idea:
Since everything that one conceives in substances reduces to their actions and passions and to the dispositions that they have for this effect, I don't see how one can find there anything more primitive than the principle of all of this, which is force.
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From:
Gottfried Leibniz (Letters to Jacques Lenfant [1693], 1693.11.25), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 4
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A reaction:
This is an attempt to connect Aristotelian essentialism with the notion of force in the new physics, and strikes me as an improvement on the original, and as good a basis for metaphysics as any I have heard of.
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12749
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Derivate forces are in phenomena, but primitive forces are in the internal strivings of substances [Leibniz]
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Full Idea:
I relegate derivative forces to the phenomena, but I think that it is clear that primitive forces can be nothing other than the internal strivings of simple substances.
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From:
Gottfried Leibniz (Letters to Burcher De Volder [1706], 1705.01), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 8
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A reaction:
I like 'internal strivings', which sounds to me like the Will to Power (Idea 7140). There seems to be an epistemological challenge in trying to disentangle the derivative forces from the primitive ones.
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12714
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The substantial form is the principle of action or the primitive force of acting [Leibniz]
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Full Idea:
The substantial form is the principle of action or the primitive force of acting.
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From:
Gottfried Leibniz (De Mundo Praesenti [1686], A6.4.1507-8), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 3
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A reaction:
The clearest statement of the modification of Aristotle's hylomorphism which Leibniz preferred in his middle period, and which strikes me as an improvement, and about right. Shame that monads got too much of a grip on him, but he was trying to dig deeper.
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13169
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I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz]
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Full Idea:
Forms establish the true general principles of nature. Aristotle calls them 'first entelechies'; I call them, perhaps more intelligibly, 'primitive forces', which contain not only act or the completion of possibility, but also an original activity.
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From:
Gottfried Leibniz (New system of communication of substances [1695], p.139)
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A reaction:
As in Idea 13168, I take Leibniz to be unifying Aristotle with modern science, and offering an active view of nature in tune with modern scientific essentialism. Laws arise from primitive force, and are not imposed from without.
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5056
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Material or immaterial substances cannot be conceived without their essential activity [Leibniz]
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Full Idea:
I maintain that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general.
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From:
Gottfried Leibniz (New Essays on Human Understanding [1704], Pref)
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A reaction:
Thus there could be no 'tabula rasa', because that would be an inactive mental substance. This strikes me as a nice question for modern physicists. Do they regard movement as essential, or an addition to bare particles? I'm with Leibniz. Essentialism.
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12778
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There is active and passive power in the substantial chain and in the essence of a composite [Leibniz]
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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.
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From:
Gottfried Leibniz (Letters to Des Bosses [1715], 1716.05.29)
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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.
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12969
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The active powers which are not essential to the substance are the 'real qualities' [Leibniz]
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Full Idea:
Powers which are not essential to substance, and which include not merely an aptitude but also a certain endeavour, are exactly what are or should be meant by 'real qualities'.
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From:
Gottfried Leibniz (New Essays on Human Understanding [1704], 2.23)
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A reaction:
An important part of Leibniz's account. There are thus essential powers, in the 'depth' of the substance, and more peripheral powers, which also initiate action, and give rise to the qualities. The second must derive from the first?
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19382
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Abstracta are abbreviated ways of talking; there are just substances, and truths about them [Leibniz]
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Full Idea:
I consider abstracta not as real things but as abbreviated ways of talking ...and to that extent I am a nominalist, at least provisionally ...It suffices to posit only substances as real things, and, to assert truths about these.
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From:
Gottfried Leibniz (On the Reality of Accidents [1688]), quoted by Richard T.W. Arthur - Leibniz
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A reaction:
I am a modern nominalist, in my hostility to a serious ontological commitment to abstracta. You get into trouble, though, if you say there are only objects or substances. Physics says reality may all be 'fields', or something.... 'Truths' is good.
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