The Classical Conception

The art historian Heinrich Wölfflin gives a fundamental description of the classical conception of beauty, as embodied in Italian Renaissance painting and architecture:

The central idea of the Italian Renaissance is that of perfect proportion. In the human figure as in the edifice, this epoch strove to achieve the image of perfection at rest within itself. Every form developed to self-existent being, the whole freely co-ordinated: nothing but independently living parts…. 

In the system of a classic composition, the single parts, however firmly they may be rooted in the whole, maintain a certain independence. It is not the anarchy of primitive art: the part is conditioned by the whole, and yet does not cease to have its own life. 

For the spectator, that presupposes an articulation, a progress from part to part, which is a very different operation from perception as a whole. (Wölfflin 1932, 9–10, 15)

The classical conception is that beauty consists of an arrangement of integral parts into a coherent whole, according to proportion, harmony, symmetry, and similar notions. 

This is a primordial Western conception of beauty, and is embodied in classical and neo-classical architecture, sculpture, literature, and music wherever they appear. 

Aristotle says in the Poetics that “to be beautiful, a living creature, and every whole made up of parts, must … present a certain order in its arrangement of parts” (Aristotle, volume 2, 2322 [1450b34]). 

And in the Metaphysics: “The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree” (Aristotle, volume 2, 1705 [1078a36]). 

This view, as Aristotle implies, is sometimes boiled down to a mathematical formula, such as the golden section, but it need not be thought of in such strict terms. 

The conception is exemplified above all in such texts as Euclid’s Elements and such works of architecture as the Parthenon, and, again, by the Canon of the sculptor Polykleitos (late fifth/early fourth century BCE).

The Canon was not only a statue deigned to display perfect proportion, but a now-lost treatise on beauty. 

The physician Galen characterizes the text as specifying, for example, the proportions of “the finger to the finger, and of all the fingers to the metacarpus, and the wrist, and of all these to the forearm, and of the forearm to the arm, in fact of everything to everything…. 

For having taught us in that treatise all the symmetriae of the body, Polyclitus supported his treatise with a work, having made the statue of a man according to his treatise, and having called the statue itself, like the treatise, the Canon” (quoted in Pollitt 1974, 15). 

It is important to note that the concept of ‘symmetry’ in classical texts is distinct from and richer than its current use to indicate bilateral mirroring. It also refers precisely to the sorts of harmonious and measurable proportions among the parts characteristic of objects that are beautiful in the classical sense, which carried also a moral weight. For example, in the Sophist (228c-e), Plato describes virtuous souls as symmetrical.

The ancient Roman architect Vitruvius epitomizes the classical conception in central, and extremely influential, formulations, both in its complexities and, appropriately enough, in its underlying unity:

Architecture consists of Order, which in Greek is called taxis, and arrangement, which the Greeks name diathesis, and of Proportion and Symmetry and Decor and Distribution which in the Greeks is called oeconomia.

Order is the balanced adjustment of the details of the work separately, and as to the whole, the arrangement of the proportion with a view to a symmetrical result.

Proportion implies a graceful semblance: the suitable display of details in their context. This is attained when the details of the work are of a height suitable to their breadth, of a breadth suitable to their length; in a word, when everything has a symmetrical correspondence.

Symmetry also is the appropriate harmony arising out of the details of the work itself: the correspondence of each given detail to the form of the design as a whole. As in the human body, from cubit, foot, palm, inch and other small parts come the symmetric quality of eurhythmy. (Vitruvius, 26–27)

Aquinas, in a typically Aristotelian pluralist formulation, says that “There are three requirements for beauty. Firstly, integrity or perfection—for if something is impaired it is ugly. Then there is due proportion or consonance. And also clarity: whence things that are brightly coloured are called beautiful” (Summa Theologica I, 39, 8).

Francis Hutcheson in the eighteenth century gives what may well be the clearest expression of the view: “What we call Beautiful in Objects, to speak in the Mathematical Style, seems to be in a compound Ratio of Uniformity and Variety; so that where the Uniformity of Bodys is equal, the Beauty is as the Variety; and where the Variety is equal, the Beauty is as the Uniformity” (Hutcheson 1725, 29). 

Indeed, proponents of the view often speak “in the Mathematical Style.” Hutcheson goes on to adduce mathematical formulae, and specifically the propositions of Euclid, as the most beautiful objects (in another echo of Aristotle), though he also rapturously praises nature, with its massive complexity underlain by universal physical laws as revealed, for example, by Newton. 

There is beauty, he says, “In the Knowledge of some great Principles, or universal Forces, from which innumerable Effects do flow. Such is Gravitation, in Sir Isaac Newton’s Scheme” (Hutcheson 1725, 38).

A very compelling series of refutations of and counter-examples to the idea that beauty can be a matter of any specific proportions between parts, and hence to the classical conception, is given by Edmund Burke in A Philosophical Enquiry into the Origin of our Ideas of the Beautiful and the Sublime:

Turning our eyes to the vegetable kingdom, we find nothing there so beautiful as flowers; but flowers are of every sort of shape, and every sort of disposition; they are turned and fashioned into an infinite variety of forms. … 

The rose is a large flower, yet it grows upon a small shrub; the flower of the apple is very small, and it grows upon a large tree; yet the rose and the apple blossom are both beautiful. … 

The swan, confessedly a beautiful bird, has a neck longer than the rest of its body, and but a very short tail; is this a beautiful proportion? we must allow that it is. But what shall we say of the peacock, who has comparatively but a short neck, with a tail longer than the neck and the rest of the body taken together? … 

There are some parts of the human body, that are observed to hold certain proportions to each other; but before it can be proved, that the efficient cause of beauty lies in these, it must be shewn, that wherever these are found exact, the person to whom they belong is beautiful. … 

For my part, I have at several times very carefully examined many of these proportions, and found them to hold very nearly, or altogether alike in many subjects, which were not only very different from one another, but where one has been very beautiful, and the other very remote from beauty.

 … You may assign any proportions you please to every part of the of the human body; and I undertake, that a painter shall observe them all, and notwithstanding produce, if he pleases, a very ugly figure. (Burke 1757, 84–89)