Abstract

In lieu of an abstract, here is a brief excerpt of the content:THE SPATIO-TEMPORAL THEORY OF INDIVIDUATION MICHAEL POTTS Methodist Callege Fayetteville, North Carolina I. HISTORICAL OVERVIEW A. The Influence of Plato HE SPATIO-TEMPORAL theory of individuation has long history in the philosophical tradition. Its roots go ack to Aristotle's theory of individuation by matter,1 and ultimately back to Plato. In the Timaeus, Plato struggled with the problem of how forms are instantiated in the phenomenal world. Besides " a model form (paradeigmatos eidos), intelligible and ever uniformly existent" and "the model's copy (mimeta paradeigmatos), subject to becoming and visible," Plato postulated a third thing, a " receptacle " (hupodochen), "the nurse of all becoming." 2 It is wholly indeterminate:... while it is always receiving all things, nowhere and in no wise does it assume any shape similar to any of the things that enter into it. For it is laid down by nature as a moulding-stuff for everything, being moved and marked by the entering figures, and because of them it appears different at different times. And the figures that enter and depart are copies of those that are always existent, being stamped from them...8 1 I recognize that this is a controversial claim. Since I am tracing the spatio-temporal theory of individuation from Aristotle through St. Thomas Aquinas, for the purposes of this paper I will follow St. Thomas's interpretation of Aristotle and accept the view that Aristotle took matter to be the principle of individuation. 2 Plato, Timaeus 49a. The version used is the Loeb edition by R. G. Bury (Cambridge, Mass.: Harvard University Press, 1966). a Timaeus 50b-c. 59 60 MICHAEL POTTS The receptacle, then, is like formless wax upon which the forms are stamped. It is " apprehensible by a kind of bastard reasoning (logismo tini notho), barely an object of belief." 4 B. Aristotle It may seem on the surface unusual that the idea of the receptable would later be modified and used to explain individuation. Plato himself was concerned with the universal, the form. The instantiations of the forms in the phenomenal world do not even deserve to be called "this " or " that." 5 With Aristotle, however, the individual gains new importance, since for him forms have their reality only in individuals and individuals are primarily called "substance." If this is the case, then Aristotle has to explain how " humanity " can be the same while " Socrates" and " Callias" are two different individuals. Since form is universal, it cannot individuate, so the source of individuation must be matter-two individuals are different human beings, for example, because they have different lumps of matter.... and when the whole has been generated, such a form in this flesh and these bones, this is Callias or Socrates, and this is distinct from that which generated it because the matter is distinct (hulen, hetera gar), but it is the same in species since the species is indivisible.6 This view raises problems. Matter is indeterminate; it is Aristotle 's modification of Plato's receptacle. How can anything indeterminate itself determine individual substances? More needed to be done to.bring out the meaning of individuation by matter, and St. Thomas Aquinas developed a more detailed and satisfactory position. 4 Timaeus 52b. 5 Timaeus 49d-50a. 6 Aristotle, Metaphyscis 28 (1034a5-8). The Greek text used is Metaphysica, ed. by Werner Jaeger (Oxonii : E Typographaeo Clarendoniano, 1957). The English translation is by Hippocrates G. Apostle (Grinnell, Iowa: Peripatetic Press, 1979). THE SPATIO-TEMPORAL THEORY OF INDIVIDUATION 61 C. St. Thomas Aquinas Aquinas, recognizing that prime matter is indeterminate and therefore not something that can individuate, argues that the principle of individuation is " signate" or " designated" matter. "Materia signata" is defined as matter as " sub determinatis dimensionibus consideratur," " considered under determinate dimensions." 7 While the exact meaning of this is unclear, it seems to refer to matter under determinate spatial dimensions or coordinates. While the form determines what sort of thing an entity is, what determines it to be this individual is this matter with a particular set of spatial coordinates. Henry Veatch puts Aquinas's view into more modern terms: In fact, matter as determined by dimensive quantity guarantees ontologically nothing more nor less than the...