Parmenides’ Argument Against Change
Parmenides, according to Aristotle, advances the following, paradoxical argument:
Premise 1: If something comes to be, it comes to be from what is or from what is not.
Premise 2: If it comes to be from what is, it is already.
Premise 3: Nothing comes to be from what is already.
Premise 4: If it comes to be from what is not, then it comes to be from nothing.
Premise 5: Nothing comes to be from nothing.
Conclusion: Nothing comes to be.
The argument is a destructive dilemma: if p is true, there are two possibilities, q and r; since, then, neither q nor r holds, we can conclude that p does not hold.
Aristotle in this chapter develops a resolution to this paradoxical argument. Effectively, Aristotle thinks that these claims need to be disambiguated, and that once we do so, the argument collapses.
Suppose a horse comes to be. According to the analysis of I.7, it comes to be from the privation of the horse’s form. But a privation, as we have seen, is a lack or absence of something, and a lack or absence is a way of not being. In this sense, then, the horse comes to be from not being. However, the horse does not come to be from the privation just qua (i.e., insofar as it is) not being, but qua privation of the form of a horse. But Premise 5 is true only in the sense that nothing comes to be from not being qua not being.
Likewise for coming to be from what already is. Suppose a house comes to be. According to the analysis of I.7, it comes to be from an underlier that currently is deprived of the form of a house. This underlier is something, for instance, bricks, and being bricks is a way of being. In this sense, then, the house comes to be from being and so from what already is. However, the house does not come to be from this underlier just qua (i.e., insofar as it is) a being. But Premise 3 is true only in the sense that nothing comes to be from a being just qua a being.
In sum: properly understood, there is nothing paradoxical or contradictory about the fact that a house (say) comes to be both from what is not (namely, what is not yet a house) and what is (namely, what already is bricks and stones).