Monadology

The Monadology (French: La Monadologie, 1714) is one of Gottfried Leibniz's best known works representing his later philosophy. It is a short text which sketches in some 90 paragraphs a metaphysics of simple substances, or monads.

Text
The first manuscript page of the Monadology

During his last stay in Vienna from 1712 to September 1714, Leibniz wrote two short texts in French which were meant as concise expositions of his philosophy. After his death Principes de la nature et de la grâce fondés en raison, which was intended for prince Eugene of Savoy, appeared in French in the Netherlands. Christian Wolff and collaborators published translations in German and Latin of the second text which came to be known as The Monadology. Without having seen the Dutch publication of the Principes they had assumed that it was the French original of the Monadology, which in fact remained unpublished until 1840.

The German translation appeared in 1720 as Lehrsätze über die Monadologie and the following year the Acta Eruditorum printed the Latin version as Principia philosophiae.[1] There are three original manuscripts of the text: the first written by Leibniz and overcharged with corrections and two further emended copies with some corrections appearing in one but not the other.[2] Leibniz himself inserted references to the paragraphs of his Théodicée ("Theodicy", i.e. a justification of God), sending the interested reader there for more details.

Metaphysics

Context

The monad, the word and the idea, belongs to the Western philosophical tradition and has been used by various authors.[3] Leibniz, who was exceptionally well read, could not have ignored this, but he did not use it himself until mid-1696 when he was sending for print his New System.[4] Apparently he found with it a convenient way to expose his own philosophy as it was elaborated in this period. What he proposed can be seen as a modification of occasionalism developed by latter-day Cartesians. Leibniz surmised that there are indefinitely many substances individually 'programmed' to act in a predetermined way, each substance being coordinated with all the others. This is the pre-established harmony which solved the mind-body problem, but at the cost of declaring any interaction between substances a mere appearance.

Summary

The rhetorical strategy adopted by Leibniz in The Monadology is fairly obvious as the text

  • begins with a description of monads (proceeding from simple to complicated instances),
  • then it turns to their principle or creator and
  • finishes by using both to explain the world.

(I) As far as Leibniz allows just one type of element in the building of the universe his system is monistic. The unique element has been 'given the general name monad or entelechy' and described as 'a simple substance' (§§1, 19). When Leibniz says that monads are 'simple,' he means that "which is one, has no parts and is therefore indivisible".[5] Relying on the Greek etymology of the word entelechie (§18),[6] Leibniz posits quantitative differences in perfection between monads which leads to a hierarchical ordering. The basic order is three-tiered: (1) entelechies or created monads (§48), (2) souls or entelechies with perception and memory (§19), and (3) spirits or rational souls (§82). Whatever is said about the lower ones (entelechies) is valid for the higher (souls and spirits) but not vice versa. As none of them is without a body (§72), there is a corresponding hierarchy of (1) living beings and animals (2), the latter being either (2) non-reasonable or (3) reasonable. The degree of perfection in each case corresponds to cognitive abilities and only spirits or reasonable animals are able to grasp the ideas of both the world and its creator. Some monads have power over others because they can perceive with greater clarity, but primarily, one monad is said to dominate another if it contains the reasons for the actions of other(s). Leibniz believed that any body, such as the body of an animal or man, has one dominant monad which controls the others within it. This dominant monad is often referred to as the soul.

(II) God is also said to be a simple substance (§47) but it is the only one necessary (§§38–9) and without a body attached (§72). Monads perceive others "with varying degrees of clarity, except for God, who perceives all monads with utter clarity".[7] God could take any and all perspectives, knowing of both potentiality and actuality. As well as that God in all his power would know the universe from each of the infinite perspectives at the same time, and so his perspectives—his thoughts—"simply are monads".[8] Creation is a permanent state, thus "[monads] are generated, so to speak, by continual fulgurations of the Divinity" (§47).[9] Any perfection comes from being created while imperfection is a limitation of nature (§42). The monads are unaffected by each other, but each have a unique way of expressing themselves in the universe, in accordance with God's infinite will.

(III) Composite substances or matter are "actually sub-divided without end" and have the properties of their infinitesimal parts (§65). A notorious passage (§67) explains that "each portion of matter can be conceived as like a garden full of plants, or like a pond full of fish. But each branch of a plant, each organ of an animal, each drop of its bodily fluids is also a similar garden or a similar pond". There are no interactions between different monads nor between entelechies and their bodies but everything is regulated by the pre-established harmony (§§78–9). Much like how one clock may be in synchronicity with another, but the first clock is not caused by the second (or vice versa), rather they are only keeping the same time because the last person to wind them set them to the same time. So it is with monads; they may seem to cause each other, but rather they are, in a sense, "wound" by God's pre-established harmony, and thus appear to be in synchronicity. Leibniz concludes that "if we could understand the order of the universe well enough, we would find that it surpasses all the wishes of the wisest people, and that it is impossible to make it better than it is—not merely in respect of the whole in general, but also in respect of ourselves in particular" (§90).[10]

In his day, atoms were proposed to be the smallest division of matter. Within Leibniz's theory, however, substances are not technically real, so monads are not the smallest part of matter, rather they are the only things which are, in fact, real. To Leibniz, space and time were an illusion, and likewise substance itself. The only things that could be called real were utterly simple beings of psychic activity "endowed with perception and appetite."[11] The other objects, which we call matter, are merely phenomena of these simple perceivers. "Leibniz says, 'I don't really eliminate body, but reduce [revoco] it to what it is. For I show that corporeal mass [massa], which is thought to have something over and above simple substances, is not a substance, but a phenomenon resulting from simple substances, which alone have unity and absolute reality.' (G II 275/AG 181)"[12] Leibniz's philosophy is sometimes called "'panpsychic idealism' because these substances are psychic rather than material".[13] That is to say, they are mind-like substances, not possessing spatial reality. "In other words, in the Leibnizian monadology, simple substances are mind-like entities that do not, strictly speaking, exist in space but that represent the universe from a unique perspective."[14] It is the harmony between the perceptions of the monads which creates what we call substances, but that does not mean the substances are real in and of themselves.[15]

(IV) Leibniz uses his theory of Monads to support his argument that we live in the best of all possible worlds. He uses his basis of perception but not interaction among monads to explain that all monads must draw their essence from one ultimate monad.[16] He then claims that this ultimate monad would be God because a monad is a “simple substance” and God is simplest of all substances, He cannot be broken down any further.[17] This means that all monads perceive “with varying degrees of perception, except for God, who perceives all monads with utter clarity” [18]. This superior perception of God then would apply much the in same way that he says a dominant monad controls our soul, all other monads associated with it would, essentially, shade themselves towards Him. With all monads being created by the ultimate monad and shading themselves in the image of this ultimate monad, Leibniz argues that it would be impossible to conceive of a more perfect world because all things in the world are created by and imitating the best possible monad [19].

Interpretation

Controversy in rationalism

The Monadology tried to answer two huge philosophical questions—both studied by Descartes—from a monist point of view. The first is about the nature of reality. The second, about the problem of communication of substances, is related to a common objection to mind-body dualism, namely, the body-soul interaction problem. Thus, Leibniz offered a new solution to the mind-matter interaction problem by positing a pre-established harmony between substances: the body is mere perceptions, which are all contained in a soul's complete concept. The soul and body interact and agree in virtue of the pre-established harmony, maintained by God. Leibniz also drew the relationship between "the kingdom of final causes", or teleological ones, and "the kingdom of efficient causes", or mechanical ones, which was not causal, but synchronous. So, monads and matter are only apparently linked, and there is not even any communication between different monads; there is only harmony, pre-established and maintained by God.

Leibniz fought against the Cartesian dualist system in his Monadology and instead opted for a monist idealism (since substances are all unextended). However, Leibniz was a pluralist in the sense that substances are disseminated in the world in an infinite number. For that reason the monad is an irreducible force, which makes it possible for the bodies to have the characteristics of inertia and impenetrability, and which contains in itself the source of all its actions. Monads are the first elements of every composed thing.

Potential false premise

Leibniz creates an argument that flows smoothly and logically from point to point. If only inspected for validity, an adversary would be hard-pressed to find any errors. He starts his argument out with the groundwork and definitions before using those definitions to build his argument from the ground up, it being a rather unorthodox philosophical explanation. He builds this idea of monads, connecting ideas with logical reasoning and explanation where needed.

However, an adversary could be sound in challenging the truth behind some of his claims. Specifically, Leibniz writes a potential false premise in his definition of how monads interact. He states that monads are “endowed with perception and appetite” but cannot interact.[20] This is not necessarily false, but is a claim that he does not backup with sufficient evidence in his Monadology. Typically, this would be enough essentially to throw out the entirety of his argument because it is all built upon this assumption, but in this specific case, it happens to be less problematic, only because the claim is not provable.[21] Monads are a theoretical “simple substance”, so there is no specific physical substance that can ever be known as a monad, since there could always be an unknown simpler substance inside.[22] This means that interactions among monads, or lack thereof, can never be proven or disproven since it can never be proven that it is, in fact, monads that are being examined. That is why Leibniz’s argument for monads must be taken with a grain of salt, but still can be taken in the first place.

Substances simpler than monads

Monads are too complex to be the simplest substance in the universe. For example, the quality of perception takes pages to explain. Yet, Leibniz predicts this argument and writes, “monads must have some qualities, otherwise they would not even be existing things” [23]. And, while that may be true, the simplest substance only needs to contain one quality, “existence”, to fulfill the role. Take, for instance, Occam’s Razor which states that the simplest answer is usually the correct one [24]. Compare it to Monadology. Either the simplest substance is something which contains multiple attributes, or it is something which contains only one attribute (ie. Existence). Following this logic, it is plain to see that the latter is more likely to be the simplest substance. As monads are the former, they cannot be the simplest substance.

The problem is that when there are qualities, there must be something to bind the qualities together. Locke calls this binding matter substantia [25] meaning the support that attaches qualities to the object. Monads, containing a handful of attributes, require metaphorical adhesive or substantia, to stick the attributes to the monad. But, with the addition of such adhesive, they are rendered merely a substance and not the simplest substance. A truly simple substance does not need substantia as it merely exists. Existence is its entire being and its only quality. Essentially, this critique rests on the idea of Quantitative Ontological Parsimony, meaning that because the theory that there exists something simpler than monads is more basic in nature and postulates fewer entities, it ought to be preferred [26]. So, in so far as Leibniz places additional characteristics and attributes on monads, the search for the simplest substance continues.

Philosophical conclusions

This theory leads to:

1. Idealism, since it denies things in themselves (besides monads) and multiplies them in different points of view. Monads are "perpetual living mirrors of the universe."

2. Metaphysical optimism, through the principle of sufficient reason, developed as follows:

a) Everything exists according to a reason (by the axiom "Nothing arises from nothing");

b) Everything which exists has a sufficient reason to exist;

c) Everything which exists is better than anything nonexistent (by the first point: since it is more rational, it also has more reality), and, consequently, it is the best possible being in the best of all possible worlds (by the axiom: "That which contains more reality is better than that which contains less reality").

gollark: Where is it?
gollark: Cool.
gollark: I think there's a rule about defacing the environment, but that means it's fine to mine out everything under y=40 or so because nobody looks there.
gollark: It might be annoying to route around claims. But I think you could do it if they also had a block scanner (or a few did) or pickaxes.
gollark: With some Wojbie2-style setup to attain fire aspect books it would probably be possible to get more lasers than that, and the bot could also supervise the turtles so no human input is needed.

See also

Notes
  1. Lamarra A., Contexte Génétique et Première Réception de la Monadologie, Revue de Synthese 128 (2007) 311–323
  2. Leibniz G.W., La Monadologie, edition établie par E. Boutroux, Paris LGF 1991
  3. There is no indication that Leibniz has 'borrowed' it from a particular author, e.g. Giordano Bruno or John Dee, to mention just two popular sources
  4. Woolhouse R. and Francks R., Leibniz's "New System" and associated contemporary texts, Cambridge Univ. Press 1997
  5. Burnham, Douglas. "Gottfried Leibniz: Metaphysics." Internet Encyclopedia of Philosophy, http://www.iep.utm.edu/leib-met/#H8 [accessed May 2, 2016].
  6. On pourrait donner le nom d'entéléchies à toutes les substances simples ou Monades créées, car elles ont en elles une certaine perfection (ἔχουσι τὸ ἐντελές)
  7. Audi Robert, ed. "Leibniz, Gottfried Wilhelm." The Cambridge Dictionary of Philosophy. Cambridge; Cambridge University Press (1999): 193.
  8. Look, Brandon C. "Gottfried Wilhelm Leibniz." Stanford University, http://plato.stanford.edu/archives/spr2014/entries/leibniz [accessed February 27, 2016].
  9. Translated by Frederic Henry Hedge. "Leibniz's vestige view of God's creative act is employed to support his view of substance as an inherently active being possessed of its own dynamic force" in David Scott, "Leibniz model of creation and his doctrine of substance", Animus 3 (1998)
  10. Burnham, Douglas. "Gottfried Leibniz: Metaphysics." Internet Encyclopedia of Philosophy, http://www.iep.utm.edu/leib-met/#H8 [accessed May 2, 2016].
  11. Look, Brandon C. "Gottfried Wilhelm Leibniz." Stanford University, http://plato.stanford.edu/archives/spr2014/entries/leibniz [accessed February 27, 2016].
  12. Look, Brandon C. "Gottfried Wilhelm Leibniz." Stanford University, http://plato.stanford.edu/archives/spr2014/entries/leibniz [accessed February 27, 2016].
  13. Pestana, Mark. "Gottfried Wilhelm Leibniz." World Philosophers & Their Works (2000): 1–4.
  14. Burnham, Douglas. "Gottfried Leibniz: Metaphysics." Internet Encyclopedia of Philosophy, http://www.iep.utm.edu/leib-met/#H8 [accessed May 2, 2016].
  15. Burnham, Douglas. "Gottfried Leibniz: Metaphysics." Internet Encyclopedia of Philosophy, http://www.iep.utm.edu/leib-met/#H8 [accessed May 2, 2016].
  16. Brandon C., Look. [plato.stanford.edu/entries/leibniz/#MonWorPhe. "Gottfried Wilhelm Leibniz"] Check |url= value (help). Stanford Encyclopedia of Philosophy. Stanford University.
  17. Leibniz, Gottfried Wilhelm. Monadology.
  18. Leibniz, Gottfried Wilhelm. Monadology.
  19. Antognazza, Maria Rosa (2016). Leibniz. Oxford University Press.
  20. Brandon C., Look. [plato.stanford.edu/entries/leibniz/#MonWorPhe. "Gottfried Wilhelm Leibniz"] Check |url= value (help). Stanford Encyclopedia of Philosophy. Stanford University.
  21. Savile, Anthony (2000). Leibniz and the Monadology. Routledge.
  22. Savile, Anthony (2000). Leibniz and the Monadology. Routledge.
  23. Leibniz, Gottfried W. The Monadology (1714). Translated by Robert Latta, 1898.
  24. Baker, Alan. “Simplicity.” Stanford Encyclopedia of Philosophy, Stanford University, 20 Dec. 2016, plato.stanford.edu/entries/simplicity/.
  25. Jones, Jan-Erik. “Locke on Real Essence.” Stanford Encyclopedia of Philosophy, Stanford University, 4 Sept. 2018, plato.stanford.edu/entries/real-essence/.
  26. Fitzpatrick, Simon. “Simplicity in the Philosophy of Science.” Internet Encyclopedia of Philosophy, John Carroll University, www.iep.utm.edu/simplici/.

References
  • Nicholas Rescher N., G. W. Leibniz's Monadology, University of Pittsburgh Press, 1991, ISBN 0-8229-5449-4, ISBN 978-0-8229-5449-1
  • Savile A., Routledge Philosophy Guidebook to Leibniz and the Monadology, Routledge (2000), ISBN 0-415-17113-X, ISBN 978-0-415-17113-7
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