In hisCritique of the Power of Judgement, Kant explicates the creation of works of fine art (schöne Kunst) in terms of aesthetic ideas. His analysis of aesthetic ideas claims that they are not concepts (Begriffe) and are therefore not definable or describable in determinate language. Nevertheless, Kant claims that aesthetic ideas are communicable via spirit (Geist), a special mental ability he associates with artistic genius. This paper argues that Kant's notion ofGeistis central to his analysis of fine art's expressive power. (...) The notion ofGeistconstitutes a conceptual link between Kant's aesthetic theory and that of G. W. F. Hegel, for whose analysisGeistis the subject. (shrink)

It is a common thought that mathematics can be not only true but also beautiful, and many of the greatest mathematicians have attached central importance to the aesthetic merit of their theorems, proofs and theories. But how, exactly, should we conceive of the character of beauty in mathematics? In this paper I suggest that Kant's philosophy provides the resources for a compelling answer to this question. Focusing on §62 of the ‘Critique of Aesthetic Judgment’, I argue against the common view (...) that Kant's aesthetics leaves no room for beauty in mathematics. More specifically, I show that on the Kantian account beauty in mathematics is a non-conceptual response felt in light of our own creative activities involved in the process of mathematical reasoning. The Kantian proposal I thus develop provides a promising alternative to Platonist accounts of beauty widespread among mathematicians. While on the Platonist conception the experience of mathematical beauty consists in an intellectual insight into the fundamental structures of the universe, according to the Kantian proposal the experience of beauty in mathematics is grounded in our felt awareness of the imaginative processes that lead to mathematical knowledge. The Kantian account I develop thus offers to elucidate the connection between aesthetic reflection, creative imagination and mathematical cognition. (shrink)

En el presente artículo me propongo, en primer lugar, exponer los aspectos que determinan una polaridad y un contraste entre lo bello y lo sublime a lo largo del siglo XVIII. En segundo lugar, mostrar que esa tensión constante no implicó una oclusión, contradicción, o superación de una estética respecto de otra. Por último, intentaré dar cuenta de los alcances éticos que fue adquiriendo lo sublime, lo cual permite pensar esta noción como un sentimiento espiritual-moral de reunificación y elevación que (...) trasciende las fronteras del gusto y lo meramente bello. In this paper, firstly, I propose to show the aspects that determine a polarity and a contrast between the beautiful and the sublime throughout the 18th century. Secondly, I will maintain that this constant tension did not mean an occlusion, contradiction, or overcoming of an aesthetic on the other. Finally, I will try to account of the ethical scope was acquiring the sublime, which suggests this notion as a spiritual-moral feeling of reunification and elevation beyond the boundaries of taste and the merely beautiful. (shrink)