Aesthetics, beauty, proportion, mathematical proportions, natural beauty, essential beauty, art, music, spatial relationships, Kant, Malebranche, Leibniz, Critique of Pure Reason, Critique of the Faculty of Judgment
This document discusses the concept of beauty and proportion in art, exploring the relationship between natural beauty, essential beauty, and the role of mathematical proportions in aesthetics.
[...] The Essay of Father André On the Beautiful : the scale of beauties according to the respect of an order spatialization) of aesthetic relationships within a work as it is represented in the mind of the subject. - The Essential Beautiful: it is independent of any institution, we mean by that, even of the divine institutionas a logical principle). It imposes itself on all beings, including God. It is an order that is not quantitative, it is relations of perfection. What characterizes the essential beautiful? [...]
[...] Example of Athenian sculpture and the game of proportions of bodies and faces. 2. Certain arts, on the other hand, seem to respond only to spatial arrangement laws, such as architecture. - Architecture necessarily relies on the arrangement of structures with others. It has a significant practical purpose: the resulting beauty is intertwined with its practical interest, its ability to fulfill what it is supposed to offer. It therefore follows, as we see with Vitruve's doctrine, from stable geometric relationship rules, its qualification as an art being judged only by it. [...]
[...] Harmony and variety. This natural beauty is stretched between two dimensions, depending on whether one considers its intelligible foundation (an expression of essential beauty) or its conditions of appearance for a sensitive subject, for man as he exists. On the one hand but this is not the most important, natural beauty imitates essential beauty simply because it is governed by relations of order, example: no longer the sonorous numbers but the consonances, what was the essential beauty were the mathematical relations themselves, what proceeds from natural beauty are the consonances (octave, fifth, fourth). [...]
[...] An aesthetics of proportion relationships: from Aristotle's homology of sense and sensible and the aesthetics of beau said objective. 1. The homology of sense and sensible as spatial-material aesthetic explanation. The arts of space, the artistic space. - Through the demonstration of the relationship between consonances and the sense of pleasure, Aristotelian and scholastic thought will describe the entire artistic experience as responding to a formal cause (cf. Aristotelian theories of causes). Beauty responds to laws, that is to say to fixed geometric relationships, and the artist must follow these relationships to produce his works. [...]
[...] « The beautiful consists in a just proportion of things because our senses delight in things proportioned to themselves inasmuch as they themselves contain a certain order. As resemblance concerns form, the beautiful properly speaking relates to the formal cause.» Summa Theologica, question article 4. II. Judgment of taste in the light of theories of natural geometry: an attempt to reconcile the proportionate sensible and the aesthetic representation of the subject by the theories of Malebranche and Leibniz. 1. An explanation by natural geometry in Malebranche - The natural and secret trigonometry of Malebranche. [...]
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