Näytetään tekstit, joissa on tunniste atomism. Näytä kaikki tekstit
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torstai 21. elokuuta 2014

Matter and forces

An important feature of world, according to Wolff, is that it is a composite, that is, it consists of parts. Some of these parts are familiar to us from experience. Wolff points out that none of these experienced parts are indivisible, but consist of further parts – we might call them in a modern philosophical vocabulary middle-sized objects.

As composites, Wolff continues, everyday worldly objects must be such that can be completely explained through the structure and mutual relations of these parts – in effect, they are machines similar to the world itself. Because of the dependence, one need just change parts of a middle-sized object in order to change the object itself. In fact, this is the only way to truly have some effect on these objects.

All the changes on the bodies require then moving some stuff from them or moving some stuff in them – that is, movement or motion and direct physical contact is an essential element in changes of the worldly objects. It is then no wonder that a huge part of Wolff's cosmology is dedicated to determining the so-called laws of motion – mostly descriptions of what happens when several bodies collide with one another, depending on their size, mass, velocity and cohesion. Although determining what the correct laws of motion were was an ongoing philosophical and scientific theme at least from the time of Descartes' Principia philosophiae, I won't go into any further details here, besides one exception.

The one interesting element in the laws of motion is the notion that a resting body will not by itself start to move and that a moving body will not by itself change its velocity or direction. This property, known nowadays as inertia, is called by Wolff a passive force of a body, and according to him, should be taken as defining what is called matter, which he takes to be the extension of passive force. With just matter, bodies would then just have stayed in the same place for all eternity. The movement must have then been generated by something else, that is, by an active force, which is then transferred from one body to another in various collisions. Matter and active forces are then what one requires for explaining the constitution of our world and they might be taken as substances in what we observe of the world.

Yet, matter and active forces are not the whole story. As I've mentioned in a previous text, beyond the level of material bodies exists the level of elements of bodies, because as composite entities material bodies must ultimately consist of some simple entities. As simple, these elements cannot have any extension and are therefore indivisible. They are not like atoms are thought to be, Wolff says, because atoms are supposed to have no true distinguishing qualities, which would contradict the ontological principle that no two entities can have exactly same qualities.

The differentiating principle of the elements, Wolff suggests, should be their conatus, that is, the basic force containing in nuce all the changes that will happen to a particular element. In effect, elements are differentiated by their whole life history. Because an essential part of a life history of an element consists of its interactions with other elements and these interactions are essential part of a nexus forming a world, an element cannot exist except in a single world, that is, by changing world you must change also its elements and vice versa.

The actual relation of elements to bodies is rather confusing in Wolffian philosophy. What is clear is that elements constitute the realm of bodies we observe. This means that many features we appear to observe in bodies must be deceptive. For instance, bodies appear to consist of continuous masses of such types of stuff as water. Yet, because all matter and even water must consist of individual, indivisible and completely distinct elements, they must actually be discontinuous. What is unclear is how this phenomenal realm of continuities is supposed to arise from true realm of discontinuities. The question is muddled even more by corpuscles, which Wolff introduces as constituting a level between observed bodies and elements. The behaviour of bodies Wolff explains as constituted by the corpuscles, parts of body, which still are divisible. Yet, no explanation is given how corpuscles are generated from the level of elements, and number of confusing questions remain. For instance, should a corpuscle consist of an infinity of elements?


This enigma is a point where we must leave the Wolffian concept of microcosm. Next time I still have something to say about the order and perfection of the world in Wolff's cosmology.

sunnuntai 20. marraskuuta 2011

Christian Wolff: Reasonable thoughts on God, world, and human soul, furthermore, of all things in general - Relational view of space and time


In the years 1715 and 1716 a philosophically significant correspondence occurred between Leibniz and Samuel Clarke, a proponent of Isaac Newton. Particularly Leibniz attacked the Newtonian idea of an absolute space and an absolute time that exist independently of any things within them. Leibniz based his criticism on the principle of sufficient reason: if there would be an absolute space, God might have created world few meters away from its actual place in the absolute space, but since all the places in an absolute space are completely similar, He would have had no reason to create it in any particular place and would thus have been unable to create the world anywhere.

Instead of an absolute space and time, Leibniz suggested a relational view of them: space and time are nothing but orders of things – space an order of coexistent things and time an order of successive things. An important consequence of this view is that it becomes meaningless to speak of space and time without any things. (Note that this view is not relativistic: spatial and temporal magnitudes are still stable, despite the differences in the velocity or the effects of gravity.)

Leibniz's view was accepted by Wolff, and indeed, it appears to have been in favour throughout the German idealism. Kant, for instance, appears to take Leibniz's view more seriously than Newtonian absolute space: Kant attacks in Critique of pure reason the relational view more vigorously and also appears to apply a modified relational theory of space in his metaphysical foundations of natural science. Indeed, presupposing an absolute space and time adds to an ontological system two rather strange entities, which are not things as such, but also not based on things.

Now, if one would take Leibniz's description of relational view literally, one could instantly derive all sorts of absurdities. For instance, if space was nothing more than an order of things, space would change at once, when the order of things changes: space would become larger, if a thing went farther from all other things than any thing before. As Leibniz himself appears to have been aware, these problems could be avoided by defining space and time through possible, rather than actual order of things. Thus, space could continue beyond the actual positions of things, because the things have the capacity to or at least could be conceived to move further than they are.

Wolff, on the other hand, seems not to be aware of the possible problems and suggests that space and time could be defined as the actual order of things. Thus, he is able to say that even a single thing by itself would be non-spatial or that spatiality required at least two things and their actual relation.

Because Wolff's simple things should have no things as their constituents, their internal constitution could not be spatial, because it would involve no actual relation of several objects. As we noticed in the previous text, Wolffian notion of a simple thing is ambiguous, because it leaves out the possibility of Aristotle's potentially divisible and still actually unified substances. Similar problems arise with Wolff's notion of space. According to Wolff's definition, the Aristotelian divisible substance without any actual parts would be non-spatial, which is clearly absurd, when we think of e.g. a portion of water. Here we should obviously add some modalities to Wolffian account of space: Aristotelian substance is spatial, because it can be divided into parts that have spatial relations.

Even this correction might not be sufficient. Democritean atoms were supposedly indivisible substances, but still spatial. Wolff notes – consistently with his own definition of space – that this atomist notion is contradictory. Yet, it seems quite possible to imagine that a thing would be physically indivisible and still have some spatial magnitude: spatiality is here not connected to a capacity to divide a thing, but to a possibility of conceiving the division of a thing.

For Wolff, spatiality is something connected with the inner consitution of complex things. What sort of characteristics are then left for simple things? I shall return to this question in the next blog text.