A widespread attitude and prejudice in modern philosophy of science is to dismiss Aristotle's scientific writings as empirically incorrect and therefore superseded by modern science, starting with physics. Due to its mathematical nature, modern physics is able to employ quantitative data to confirm or falsify its hypothetical models. Such confirmation or falsification relates to the predictions of movement generated by the models. Empiricist scientific methodology reigns supreme, with no alternative in sight, thanks in no small measure to the British empiricist way of thinking initiated by Bacon. 'Aristotle is old hat — forget 'im', is the message, 'He merely speculates'. He retains interest only from the perspective of the history of ideas, a relatively quaint pastime for genteel scholars.
What then, if it turned out that the father of modern mathematized physics, Newton, could not have conceived and written his Principia Mathematica without having appropriated key concepts from Aristotle's ontology of productive movement, whilst simultaneously dropping their ontological import? There is no ontology of movement in today's physics, nor in any other modern science. Empiricist, 'evidence-based', scientific methodology employing theoretical models has obliterated any trace of ontological thinking in today's mind. The question concerning "the being as being", τὸ ὂν ᾖ ὄν (_to on haei on_), where the second "being" is understood participially, i.e. as a partaking of being, is dead. To say nothing of the deeper and more radical question as to the meaning of being itself.
Is this simultaneous adoption and ditching of Aristotle's ontology of productive movement by Newtonian mechanics for the sake of calculative power over physical motion to be regarded as an advance and a boon for humankind, or rather as the opposite?
In contrast to modern physics, Aristotle's Physics investigates the participation in being of physical beings conceived as κινούμενα (_kinoumena_), i.e. material beings that can be moved. Hence there is a focus, in particular, on the questions: What is physical movement?, What is time? and How do physical movement and time relate to each other? The distinction between physical beings that can be moved (passively) and beings that can (actively) move themselves, i.e. living beings, is in the background. What life itself is as a mode of being in its own right is investigated in Aristotle's De Anima, Western thinking's philosophical psychology amounting to an ontology of life. The distinction between living beings that are 'in the psyche', i.e. (ἔμψυχον _empsychon_), and non-living beings that are 'without the psyche', i.e. (ἄψυχον _apsychon_) runs throughout ancient Greek thinking. The distinction falls by the wayside in modern scientific thinking that no longer knows about the ontological difference between a being and its mode of being. Modern science is even hell-bent on trying to make life from non-living matter, to hell with investigating the ontology of life as a mode of being.
Let us take a closer look at Newton's laws, first enunciated in 1687, by first citing Wikipedia:
"Newton's laws of motion are three physical laws that describe the relationship between the motion of an object and the forces acting on it. These laws, which provide the basis for Newtonian mechanics, can be paraphrased as follows:
- A body remains at rest, or in motion at a constant speed in a straight line, unless it is acted upon by a force.
- At any instant of time, the net force on a body is equal to the body's acceleration multiplied by its mass or, equivalently, the rate at which the body's momentum is changing with time.
- If two bodies exert forces on each other, these forces have the same magnitude but opposite directions."
The first law, properly attributable to Galileo, is the law of inertia for physical bodies in loco-motion, i.e. change of position, in an homogeneous, three-dimensional Euclidian space arithmetized by real Cartesian co-ordinates. The law says that a net force acting on a physical body is required to change its speed and/or direction, a change in speed and/or direction being called acceleration. Acceleration by a net resultant force breaks the physical body's inertia.
The second law in effect states the negation of the first, specifying it further, as given by the famous simple formula f=m.a. Equivalently, the law says that the net force is equal to the rate of change of momentum, given by the formula for momentum, p=mv, with its rate of change in linear time given by the the differential equation, f=dp/dt=d(mv)/dt=m.(dv/dt), since the mass m is assumed to be constant. To be able to even write this equation, it must be assumed that time t itself is composed of instants mathematizable by a real, continuous, single linear variable that, in turn, allows instantaneous speed of a physical body to appear as a sensible notion enabling mathematical manipulation by employing the infinitesimal calculus. It never occurs to a modern physicist to question whether the notions of instantaneous speed and time composed of consecutive instants are at all phenomenologically tenable. In practice they prove themselves useful and effective, and are therefore left unquestioned.
The third Newtonian law simply states that for any force acting on a physical body there must be an equal and opposite resistant force emanating from the body passively being acted upon. Mathematically speaking, this is expressed as: every active force vector f is resisted by a negative vector -f.
One might now ask what this has to do with Aristotle's ontology of productive physical movement, most thoroughly investigated in Book Theta of his Metaphysics. At first sight there seems to be scant resemblance, but it will come to light when discussing the second law.
The first Newtonian law postulates that the natural motion of a physical body is straight ahead along a line at uniform speed. In Aristotlelean physics, by contrast, the natural motion of a physical body is not through space, but from place to place, hence loco-motion (κίνησις κατὰ τοπόν _kinaesis kata topon_). There is no homogeneous space in Aristotle's physics. For celestial bodies the natural motion is circular, around the Earth, through the æther. For sub-lunar bodies, the natural motion is down or up, toward the centre of the Earth or away from it. Of the four elements, water and earth naturally move downward, whereas fire and air naturally move upward. There is no gravitational force, but only different kinds of natural motion. An external force or 'violence' (βία, _bia_) is required to shift a physical body from its natural motion. There is no effort made to calculate motions and speeds.
This differentiation of natural motions into celestial and sub-lunar is an impediment to mathematization. Hence an homogeneous, three-dimensional space of positions is adopted from Euclidean geometry and arithmetized with Cartesian co-ordinates. Places become positions in a mathematical space. In this space there remains only one kind of natural motion: along a straight line with uniform speed unless a net force, including a gravitational one, is applied. This has the advantage that linear mathematics is elegant and simple, enabling calculations of motions, albeit not without employing the infinitesimal calculus.
The second Newtonian law is where the Aristotelean ontology of productive movement comes in. This ontology proceeds from a phenomenological conception of δύναμις (_dynamis_) as the (ἀρχή μεταβολῆς ἐν ἄλλῳ ἢ ἐν ταυτῷ ᾖ ἄλλο _archae metabolaes en alloi ae en tautoi haei allo_), i.e. as the "starting-point governing a change in another or in itself insofar it is another". (Note that 'self' and 'other' are elementary ontological categories.) When this forceful starting-point is put to work, this is literally the 'at-work-ness' or ἐνέργεια (_energeia_) of the δύναμις on a physical body effecting a movement or change toward an end or τέλος (_telos_) which, in turn, is the product to be made that was initially envisaged in the εἶδος (_eidos_).
The paradigm for this ontology is τέχνη ποιητική (_technae poiaetikae_), the art of making, e.g. a carpenter making a table. The carpenter embodies the know-how for how to make a table, who envisages in advance the table to be made in an εἶδος or 'idea' of the table. The carpenter can only see the εἶδος in the mind (νοῦς, _nous_) because s/he can see into the open temporal dimension of the future. The embodied know-how is the force that sets the movement of making going by putting the know-how to work in the at-work-ness of the know-how. The productive movement is guided by the envisaged εἶδος of the table, with the carpenter's 'logical' know-how selecting at each step what is to be done, including selecting which tool to use and correcting any mistakes in the productive movement. This continual selection of actions is done by the carpenter's λόγος (_logos_), where λόγος is here to be understood from its associated verb λέγειν (_legein_), one of whose deeper meanings, beyond 'to say', is 'to select', a pre-linguistic meaning. The skilful carpenter is the efficient force working on the material timber or ὕλη (_hulae_) who first has to select the appropriate timber, along with the appropriate tools. Working with the carpentry tools requires continual, selective corrections of the productive movement in order that the εἶδος is finally realized in the τέλος, or finished product, when the productive movement comes to an end in its ἐντελέχεια (_entelecheia_, or literally, its 'in-end-having-ness'). εἶδος and τέλος are both elementary categories conceptualizing how beings show themselves simply as beings for the mind.
There are therefore four essential elements to this ontology of productive movement:
i) the embodied know-how as the mover (efficient cause)
ii) the appropriate material on which the know-how is put to work (material cause)
iii) the εἶδος of the envisaged table to be produced (formal cause) and
iv) the τέλος as the end-product of the productive movement (final cause)
The third Newtonian law is simply an adaptation of the Aristotelean distinction between active and passive forces that is adopted and mathematized. This distinction is apparent already in the selection of the material to be worked upon by the know-how. The material has to have the passive force to resist the active force of the maker. It is no use trying to make a table out of water or rotten wood, for example. The passive force of the timber has to suffer its being shaped by the carpenter's active force into the various parts of a table and its being assembled into the final product as table.
In the Newtonian adaptation of this Aristotelean ontology of productive movement there is a marked reduction. First of all, there is no mention of elementary categories; they are taken for granted and disappear into mathematical entities. The efficient force at work on a material physical body no longer has as an envisaged εἶδος and therefore also no τέλος, thus rendering it blind, with no insight into the temporal dimension of the future. With the elimination of both εἶδος and τέλος, there remains only the blind, efficient force, or δύναμις, working on a material body, or kind of ὕλη, temporally from 'behind', from 'earlier'. Both are mathematized as quantitative mathematical entities, to wit, a directed force as a spatial vector f in an homogeneous, three-dimensional, mathematical space, and matter reduced to a quantity of mass m, which is merely a real scalar in the vector space. The carpenter's know-how is reduced to a blind physical force satisfying the equation f=m.a, or, in words, force is equal to mass multiplied by acceleration in real, continuous, linear time. Linear time is assumed and required because the physical motion itself is governed simply by cause preceding an effect. The force's effect can be calculated along such linear time employing the mathematical operations of differentiation and integration in the infinitesimal calculus that was developed by Newton, and in parallel by Leibniz, precisely for this purpose.
Far from representing an advance over Aristotle's ontology of productive movement, Newton's mathematical mechanics could be regarded as an impoverishment that blinds the mind. The apparent advantage of being able to mathematically precalculate the motion of physical bodies is gained at the cost of losing sight of the phenomena of movement themselves. It can no longer be seen that the Aristotelean ontology of productive movement is applicable to only one kind of movement. This suppression of the phenomena has led to the attempt in subsequent centuries since Newton to extend the reach of mathematized power over movement to kinds of movement that are not amenable to such treatment: the movement of the mind, the movement of interplay in society, the movement of the economy, each of these kinds of movement requiring its own, specific ontology. Hence modern sciences such as psychology, sociology and economics are lacking their ontologically grounded foundational concepts. This amounts to a blindsiding of the Western mind for the sake of the absolute will to power over all kinds of movement. This will to power, however, is delusory, hubristic and therefore, despite its hyperbolical promises of progress in the well-being of humankind, ultimately highly destructive, especially once paired with the valorization movement of The Medium spoken of in numerous other artefactphil posts (e.g. Laws of movement & Energy, Hegemony of The Medium?).
Further reading: Aristotle Metaphysics Book Theta.
Isaac Newton Philosophiæ Naturalis Principia Mathematica 1687.
Martin Heidegger Aristoteles, Metaphysik Θ 1-3 Summer Semester 1931, Heinrich Hüni (ed.) Gesamtausgabe Bd. 33 Klostermann, Frankfurt/M. 1981.
Movement and Time in
the Cyberworld: Questioning the Digital Cast of Being De Gruyter, Berlin 2019.
On Human Temporality: Recasting Whoness Da Capo De Gruyter, Berlin 2024.