Tag: Pythagoreanism

Aristotle on the Platonic Good

“Philosophy begins with wonder not that there are things rather than not, but that they are as they are” (Gwenaëlle Aubry, Dieu sans la puissance, 2nd ed., ch. 1, p. 33, my translation throughout).

Here Aubry refers to Aristotle’s famous statement in book capital Alpha of the Metaphysics that philosophy begins in wonder. In the 20th century, Heidegger emphasized the question why there is something rather than nothing. Aubry is pointing out that that is not Aristotle’s question at all. As detailed in many posts here, it is the more particular what-it-is of things that Aristotle is mainly concerned to explain.

“Two texts, in Lambda and Nu, echo the critique of capital Alpha, and each time the insistence of Aristotle is the same, in underlining that he is, of all the philosophers, the first and the only to have posed the good as a principle” (ibid).

Of Aristotle’s four causes, the material cause and the source of motion were generally recognized by the pre-Socratics. The Pythagoreans and Platonists added something approximating to Aristotle’s formal cause. But Aristotle insists that even the Platonists made no real use of a concept of that-for-the-sake-of-which, and confusingly treated the good as a formal cause or as a source of motion instead.

In book Nu of the Metaphysics, according to Aubry he says that Plato’s successor Speusippus and the Pythagoreans “agree with the mythologists in seeing the good not as a principle but as an effect of order…. Beyond Speusippus, the allusion is to Plato…; the error of Plato is not in having posed the good as a principle in making it an attribute of the One, but in having made the One itself the principle” (p. 39).

The relevant passage in book Nu says, “Things that come down to us from those who wrote about the gods seem to agree with some people of the present time who say that the good and the beautiful are not sources but make their appearance within the nature of things when it has advanced. (They do this out of caution about a true difficulty which follows for those who say, as some do, that the one is a source. The difficulty is not on account of reckoning what is good to the source as something present in it, but on account of making the one a source — and a source in the sense of an element — and making number out of the one)” (Metaphysics, Sachs tr., pp. 291-292).

Aubry’s point rings true. Elsewhere Aristotle goes on at length about Speusippus’ and the Pythagoreans’ insistence on the central role of number, which gestures in the direction of a formal cause but is actually treated by them more like a kind of material cause. And when Speusippus and the Pythagoreans talk about the One, they seem to literally mean the number one. As Aristotle points out repeatedly, it is nonsense to make the number one the source of all things, and this also doesn’t explain anything.

I myself for many years simply accepted at face value an identity of the Platonic Good with the One as the source of all things, while downplaying the One’s connection with the mere number one, and emphasizing a sort of negative theology in the style of Plotinus, which eliminates all positive attributes of the One. This really just comes down to saying there is a source of all things, while leaving unclear the way in which it is a source. It also assumes the Platonic thesis — rejected by Aristotle — that there is a single form of the Good.

For Aristotle, the good is said in as many ways as being is. What is essential is not this good or that good, but the relevance of value and valuation to all judgment whatsoever and all doing whatsoever. That relevance appears concretely as that-for-the-sake-of-which, or “final” causality. This was Aristotle’s huge innovation.

Aubry reviews Aristotle’s critique of the Platonic Good in both the Nicomachean and the Eudemian Ethics, which focuses on its status as a universal or an Idea.

“Aristotle underlines that there is not a unique science of the Good, but multiple sciences having for their object different goods” (p. 44).

“To the Good as a genus — undiscoverable — and as Idea — useless and void — Aristotle opposes a good that is prakton [practical, in the ethical sense], a good realizable by the human, determined as the first term of a hierarchy of goods and ends, … which the Nicomachean Ethics calls ‘politics’…. If the critique of the Platonic Good leaves open this path, which the Ethics explore, it does not close off that which consists in posing a Good as principle, the relation of which to particular goods remains to be determined, and of the sort that it is neither that of a genus nor of a species, nor that of an Idea to its participants” (p. 45).

Once again, it will be only the causality of that-for-the-sake-of-which and the related details of act and potentiality that truly explain this relation.

Next in this series: Being and Becoming

Cause

Aristotle flourished before the great flowering of Greek mathematics that gave us Euclid, Ptolemy, Apollonius, and Aristarchus. In his day, mathematics amounted to just arithmetic and simple geometry. In spite of the famous Pythagorean theorem that the square constructed from the hypotenuse of a right triangle is equal in area to the sum of the squares constructed from the other two sides, the historic reality of the Pythagorean movement had more to do with number mysticism, other superstitions, and curious injunctions like “don’t eat beans” than it did with real mathematics.

I think Aristotle was entirely right to conclude that arithmetic and simple geometry were of little use for explaining change in the natural world. I’ve characterized his physics as grounded in a kind of semantic inquiry that Aristotle pioneered. We are not used to thinking about science this way, as fundamentally involved with a very human inquiry about the meaning of experience in life, rather than predictive calculation. For Aristotle, the gap between natural science and thoughtful reflection about ordinary experience was much smaller than it is for us.

Aristotle invented the notion of cause as a semantic tool for expressing the reasons why changes occur. Aristotle’s notion is far more abstract than the metaphor of impulse or something pushing on something else that guided early modern mechanism. Even though the notion of cause was originally developed in a text included in Aristotle’s Physics, the “semantic” grounding of Aristotelian physics places it closer to logic than to modern physical inquiries.

I think the discussion of the kinds of causes could equally well have been grouped among his “logical” works. In fact, the form in which we have Aristotle’s works today is the result of the efforts of multiple ancient editors, who sometimes stitched together separate manuscripts, so there is room for a legitimate question whether the discussion of causes was originally a separate treatise. We tend to assume that there must be something inherently “physical” about the discussion of causes, but this is ultimately due to a circular argument from the fact that the more detailed version of it came down to us as part of the Physics (there is another, briefer one that came down to us as part of the Metaphysics).

Since Hume and especially since the later 19th century, many authors have debated about the role of causes in science. Bertrand Russell argued in the early 20th century that modern science does not in fact depend on what I have called the modern notion of cause.

More recently, Robert Brandom has argued that the purpose of logic is “to make explicit the inferential relations that articulate the semantic contents of the concepts expressed by the use of ordinary, nonlogical vocabulary”. I see Aristotelian causes in this light.

I want to recommend a return to a notion of causes in general as explanatory reasons rather than things that exert force. This can include all the mathematics used in modern science, as well as a broader range of reasons relevant to life. (See also Aristotelian Causes; Mechanical Metaphors; Causes: Real, Heuristic?; Effective vs “Driving”; Secondary Causes.)