Final Cause in the Case of the Man-faced Ox

One of the strangest opinions related in Aristotle, is the view he ascribes to Empedocles in Physics II.8.  In context, Empedocles is invoked after Aristotle asks why we should not treat every natural occurrence like the rain, that is, as a process which does not occur for the sake of something, and applying this line of explanation to everything in nature, also say, for example, that teeth came to be in such a way as to be merely coincidentally felicitous for animal chewing.  Of course, on the other hand, things can also turn out coincidentally poor for animals as well, and such is the case when Aristotle relates the monstrous suggestion of Empedocles:

ὅπου μὲν οὖν ἅπαντα συνέβη ὥσπερ κἂν εἰ ἕνεκά του ἐγί-
γνετο, ταῦτα μὲν ἐσώθη ἀπὸ τοῦ αὐτομάτου συστάντα ἐπι-    (30)
τηδείως· ὅσα δὲ μὴ οὕτως, ἀπώλετο καὶ ἀπόλλυται, κα-
θάπερ Ἐμπεδοκλῆς λέγει τὰ βουγενῆ ἀνδρόπρῳρα.

So when all turned out just as if they had come to be for something [ἕνεκά του, i.e., final cause], then the things, suitably constituted [συστάντα ἐπιτηδείως] as an automatic outcome, survived; when not, they died, and die, as Empedocles says of the man-headed calves. (Trans. Charlton, Physics II.8, 198b29-32).

It was perhaps because of Aristotle’s own example of teeth coming to be fortuitously arranged that prompts his introduction of the man-headed calves, whose dentition was not favorable to the kind of food suitable for a bovine digestive system.  Whatever was the cause of the demise of the poor man-headed ox (were Aristotle to grant that it ever existed), however, we can infer that due to some mismatch of parts, the animal was unable to survive.  Yet, remember that the man-headed ox is an interlude to the discussion of rain, to which Aristotle now wishes to return, adding an important qualification to emphasize how in fact rain is determined by a final cause.       

ὁ μὲν   (32)
οὖν λόγος, ᾧ ἄν τις ἀπορήσειεν, οὗτος, καὶ εἴ τις ἄλλος
τοιοῦτός ἐστιν· ἀδύνατον δὲ τοῦτον ἔχειν τὸν τρόπον. ταῦτα
μὲν γὰρ καὶ πάντα τὰ φύσει ἢ αἰεὶ οὕτω γίγνεται ἢ ὡς ἐπὶ   (35)
τὸ πολύ, τῶν δ’ ἀπὸ τύχης καὶ τοῦ αὐτομάτου οὐδέν. οὐ
(199a) γὰρ ἀπὸ τύχης οὐδ’ ἀπὸ συμπτώματος δοκεῖ ὕειν πολλάκις
τοῦ χειμῶνος, ἀλλ’ ἐὰν ὑπὸ κύνα· οὐδὲ καύματα ὑπὸ κύνα,
ἀλλ’ ἂν χειμῶνος.

This [i.e. the biologically advantageous occurring by coincidence], or something like it, is the account which might give us pause.  It is impossible, however, that this should be how things are.  The things mentioned, and all things which are due to nature, come to be as they do always (αἰεὶ) or for the most part (ὡς ἐπὶ τὸ πολύ) and nothing which is the outcome of luck or an automatic outcome does that.  We do not think that it is the outcome of luck or coincidence that there is a lot of rain winter, but only if there is a lot of rain in August; nor that there are heatwaves in August, but only if there is a heatwave in winter. (Trans. Charlton, Physics II.8, 198b32-199a3).

Here Aristotle adds that when things occur with a level of considerable frequency, they cannot be attributed to luck or the automatic.  When rain comes about in the winter (as opposed to a meteorologically unusual time), it is the result of a final cause.  Alan Code points out how this teleological explanation of rain can be fruitfully paralleled to Aristotle’s other example of teeth, “So too we can distinguish the formation of a front tooth simpliciter from the formation of a front tooth during the development of a human, and see that the latter is not coincidentally connected with the suitability of the tooth for biting”  (132).  This is saying, in a way suitably technical for Aristotle, that teeth are not things that come about out of the blue, as if a set of marbles or flowers were just as likely candidates to have filled the mouth of a lion as were canines and molars.  Rain happens frequently or for the most part in the winter, while in lions frequently or for the most part teeth come about during its process of maturation.  These teeth, considered as parts, of the animal must be considered with an eye to the form, that is, the final cause of the animal, if we are to make any sense of why they happen to come about with regularity.

A passage that might be pressed into service on this point of the poverty of material explanation is in Physics II.9 as Aristotle us tells how a real rube might suppose a wooden city wall is built.  On this person’s misunderstanding, what happens is that the foundation of the wall, the stones and gravel, sink down into the earth because they are heaviest, then the earth, a little lighter, comes to rest on top of this, while finally, lightest of all, the wooden posts of the fence itself surmount the earth.  His criticism of this understanding of a city wall is that although it is necessary for a city wall to have these three parts, they are nevertheless nothing more than a material cause of the wall.  They do not tell us that the wall is for the protection and preservation of certain things (ἕνεκα τοῦ κρύπτειν ἄττα καὶ σώζειν) (Physics II.9, 200a6-7).  Aristotle’s explanation helps to draw out the fact that the form of something can also be referred to as its account or definition (λόγος).  Within the definition of a city wall, of course, is the notion that it is for the protection and preservation of certain things, and definition to a greater degree in fact, than whether it is made of wood, chain links, or concrete, gives us a meaningful explanation of the wall.  In the ox-headed man example, then, the reason a man has a man-head is because the form of the man dictates that he has such a part as a man, not, as Empedocles might erroneously assert, that the reason a man has a man-head is because, of the parts that happened to come about, one was a man-head.  Similarly, if Empedocles’ ox-man was more than merely fanciful, but based on observation of biological deformation, then the rare irregularity of these monsters presents the same case: the regularity of the occurance of non-deformed boys and oxen testifies to the existence of a final cause, their form.

Aristotle: Is “Non-feathered” a Genus of Animals?

In the last post I primarily addressed Aristotle’s objection to dichotomous division, a taxonomic method that Platonists used to determine the kinds of animals there are and where any particular animal kind fits, an enterprise roughly equivalent to the animal-classification that for contemporary biology results in the designation of genus and species.  In particular, amongst Aristotle’s objections to dichotomous division, he says that grouping birds into, say, feathered and non-feathered, results in the absurdity that the latter does not exist

And yet it is necessary to divide by privation, and the dichotomists do divide [in this way].  But there is no difference of a privation qua privation.  For it is impossible for there to be species of what is not, for example of “non-footed” or of “non-winged” just as there are species of “footed” and “winged.”  Furthermore it is necessary that species belong to a generic difference.  For if they do not, why would they belong to a generic difference and not a specific difference? (Aristotle, Parts of Animals, 642b21-26).(1)

The objection substantively amounts to this: because a privation does not exist, e.g. “non-winged,” there cannot be any species subsequently derived from it.  And, as the concluding question makes clear, if in fact no pair of species can be divided from it, then this means that, e.g. “non-winged,” is a species.  This is evidently false, however, because “non-winged” is as indeterminate a species for ancient taxonomy as it would be for modern biology.

However, what if Platonists appealed to Aristotelian privation in making a case for dividing privation?   In his Physics Aristotle says this:

But white comes to be from the non-white, and not from everything [that happens to be non-white] but from black or from something between black and white, and an educated man comes to be from something that is not educated, but not just from anything that is not educated, but rather from an uneducated man, unless this happens incidentally.  Again the white turns into the non-white, and not into the chance non-white but into the black or an intermediate (Physics 188a36-188b6). (2)

Now Aristotle is clearly, in context, discussing how things come to be, and more particularly how this generation comes about from opposites.  A black beard, for example, comes to be white, where this whiteness is explicable by saying it comes to be from “non-white,” yet not just any non-white (as say, the number 1 is non-white), but from the opposite of white, black, or an intermediate, gray.

Nevertheless it seems plausible that this concept of privation, although employed to a very different purpose in the Physics than in our taxonomic concerns, establishes that we can use privation as a faithful ontological characterization of things.  If that is the case, there is no reason we cannot use “non-feathered” as a genus from which we can further dilineate more species.

Would Aristotle accept this understanding of privation from Physics for his work on animal classification?

More broadly, does this eliminate Aristotle’s original objection to privation as a method of division?

(1)
Translation mine:
Ἔτι στερήσει μὲν ἀναγκαῖον διαιρεῖν, καὶ διαιροῦσιν οἱ
διχοτομοῦντες. Οὐκ ἔστι δὲ διαφορὰ στερήσεως ᾗ στέρησις·
ἀδύνατον γὰρ εἴδη εἶναι τοῦ μὴ ὄντος, οἷον τῆς ἀποδίας ἢ τοῦ
ἀπτέρου ὥσπερ πτερώσεως καὶ ποδῶν. Δεῖ δὲ τῆς καθόλου δια-
φορᾶς εἴδη εἶναι· εἰ γὰρ μὴ ἔσται, διὰ τί ἂν εἴη τῶν καθόλου
καὶ οὐ τῶν καθ’ ἕκαστον;

(2)
Translation mine:
ἀλλὰ λευκὸν μὲν γίγνεται ἐξ οὐ λευκοῦ, καὶ τούτου οὐκ ἐκ παντὸς
ἀλλ’ ἐκ μέλανος ἢ τῶν μεταξύ, καὶ μουσικὸν οὐκ ἐκ μου-
σικοῦ, πλὴν οὐκ ἐκ παντὸς ἀλλ’ ἐξ ἀμούσου ἢ εἴ τι αὐτῶν
ἐστι μεταξύ. οὐδὲ δὴ φθείρεται εἰς τὸ τυχὸν πρῶτον, οἷον
τὸ λευκὸν οὐκ εἰς τὸ μουσικόν, πλὴν εἰ μή ποτε κατὰ συμ-
βεβηκός, ἀλλ’ εἰς τὸ μὴ λευκόν, καὶ οὐκ εἰς τὸ τυχὸν ἀλλ’
εἰς τὸ μέλαν ἢ τὸ μεταξύ·

Aristotelian Objections to Platonic Animal Classification

Deep into his criticism of the dichotomist method of division, Aristotle and his opponents are deciding what genera and species of animals truly exist.  To discover these natural kinds of animals, the appropriate method of division, that is, a way of separating animals from each other into categories precisely representative of species, is under contentious dispute.

And yet it is necessary to divide by privation, and the dichotomists do divide [in this way].  But there is no difference of a privation qua privation.  For it is impossible for there to be species of what is not, for example of “non-footed” or of “non-winged” just as there are species of “footed” and “winged.”  Furthermore it is necessary that species belong to a generic difference.  For if they do not, why would they belong to a generic difference and not a specific difference? (Aristotle, Parts of Animals, 642b21-26).(1)

Some say that species should be divided into two with each of the two branches always branching off into two more, until the point where a termination results in an actual species.  For example, if we begin by dividing animals into footed and non-footed, and then the footed into bi-pedal and poly-pedal, we can then divide bi-pedal into split-toed and web-toed, etc.  Advocates of this process of dichotomy are called dichotomists.

Aristotle, on the other hand, advocates opening more than one line of division, not limiting himself to the dichotomist method which follows only one of two branches at every step.  In this section of the text, Aristotle, believing that dichotomists commit themselves to “privation” as well, argues that privation is incompatible with dichotomy.  By privation Aristotle simply means a negation of some difference, such as in the example above, “non-footed” as contrasted with “footed.”  The privation objection demonstrates Aristotle’s characteristic subtlety and insight as he, perhaps ironically, forces his opponents into a logical dichotomy: Either the privation is an actual species of animal or it is not, and further division must continue.

Now if we continue with the first option, that there is an actual species of privative animal, say, non-footed, then this seems precluded for the following reasons.  Most obviously, something which is not cannot be said to be.(2) It is also the case that being non-footed would not pick out a species, as it could generically apply to a worm, a whale and a snake, not to mention the variations of each animal.  And yet, even if it were that case that “non-footed” faithfully picked out only a single animal (pretend that earthworms are the only non-footed animals), it is unclear how non-footed is an essential property of earthworms.  After all, earthworms are also furless, wingless, knuckle-less, eyelash-less, and money-less, to name just a few things.

On the other hand, if the privation is not a species, but must be further divided, then Aristotle clearly precludes this possibility in the above text.  Why this is so is unclear, but I will have a preliminary answer in the next post, as well as offer up a Platonic solution which could perhaps stand up under Aristotle’s scrutiny.


 

REFERENCES:

 

(1)
Translation mine:
Ἔτι στερήσει μὲν ἀναγκαῖον διαιρεῖν, καὶ διαιροῦσιν οἱ
διχοτομοῦντες. Οὐκ ἔστι δὲ διαφορὰ στερήσεως ᾗ στέρησις·
ἀδύνατον γὰρ εἴδη εἶναι τοῦ μὴ ὄντος, οἷον τῆς ἀποδίας ἢ τοῦ
ἀπτέρου ὥσπερ πτερώσεως καὶ ποδῶν. Δεῖ δὲ τῆς καθόλου δια-
φορᾶς εἴδη εἶναι· εἰ γὰρ μὴ ἔσται, διὰ τί ἂν εἴη τῶν καθόλου
καὶ οὐ τῶν καθ’ ἕκαστον;

(2)
I assume A. would approve this, for he says something logically analogous in the case where we suppose that privations are divided into further species.