A curious feature in Immanuel Kant’s account of the mathematical sublime is the choice of examples, namely, the Pyramids of Egypt and St. Peter’s Basilica. In the paragraph following these examples, Kant suggests that the sublime does not exhibit itself in works of art. This ambiguity has led scholars to question the possibility of “artistic sublimity.” The scholarship has prompted discussions about whether works of art that evoke the sublime feeling are genuine sublime experiences. A representational account of artistic sublimity (...) restricts the sublime to experiences in raw nature. Art can depict the sublime stylistically; however, it cannot evoke the feeling of sublimity. On an opposing interpretation, the sublime occurs because of a conflict between imagination and reason; any work of art that provokes this conflict is sublime. As a result, the power of the sublime overrides and annihilates determinate ends, allowing pure aesthetic judgments. The alleged contradiction in Kant’s account of the mathematical sublime is also read as an interpretive issue regarding purity, prompting the pure-impure distinction. Art that has the power to evoke the feeling of sublimity is deemed “impurely sublime” because of the admixture of interest. Alternatively, if aesthetic judgments of the sublime are satisfied irrespective of the object, then art is purely sublime without needing a further determination. Following Henry Allison, I defend the view that we should preserve a pure–impure distinction. A concept of impure sublimity allows us to account for an emotionally motiving satisfaction akin to the sublime in the presence of some works of art while maintaining a close reading of the Kantian account of pure sublimity as an exclusive consequence of raw nature. (shrink)

According to Kant’s Critique of the Power of Judgement, in the end all estimation of magnitude is sensible, or ‘aesthetic’, and the absolutely great in aesthetic estimation is called ‘the mathematical sublime’. This article identifies the relevant sensible element with an inner sensation of a temporal tension: in aesthetic comprehension, the imagination encounters an inevitable tension between the successive reproduction of a magnitude’s individual parts and the simultaneous unification of these parts. The sensation of this tension varies in degree and (...) facilitates aesthetic estimation in general. But in the special case where it comes to involve a sense of exceeding our imagination’s limit, we judge a magnitude to be mathematically sublime. Pace Kant, I argue that this limit is private and contingent rather than transcendental, such that the judgement of the mathematical sublime is neither universal a priori nor necessary. (shrink)

In 1764, Kant published his Observations on the Feeling of the Beautiful and the Sublime and in 1790 his influential third Critique, the Critique of the Power of Judgment. The latter contains two parts, the ‘Critique of the Aesthetic Power of Judgment’ and the ‘Critique of the Teleological Power of Judgment’. They reveal a new principle, namely the a priori principle of purposiveness (Zweckmäßigkeit) of our power of judgment, and thereby offer new a priori grounds for beauty and biology within (...) the framework of Kant's transcendental philosophy. They also unite the previous two Critiques, the Critique of Pure Reason and the Critique of Practical Reason. Besides contributing to general and systematic aspects within his transcendental philosophy, Kant's aesthetics also offers new insights into old problems. It deals with feeling versus experience, subjectivity versus objectivity, disinterested pleasure, aesthetic universality, free and adherent beauty, the sensus communis, genius, aesthetic ideas, beauty as the symbol of morality, beauty of nature versus beauty of art, the sublime, and the supersensible. In this article I will limit myself to this critical aesthetics of Kant. But I will also discuss the ugly and the possibility of beauty in mathematics and see whether Kant's theory can successfully explain or deal with them. I will also compare his theory with philosophical ideas from a very different tradition, namely from Confucius, not only as a challenge to Kant's theory, but also because there is a growing interest from the Chinese side in combining ideas from Confucius and Kant, an interest that might well become influential in both East and West during the 21st century. (shrink)

This essay develops an account of the link between Kant's aesthetics and his ethics. It does so by articulating a Kantian account of moral psychology by way of aesthetic reflective judgements of sublimity. Since judgements of sublimity enrich the picture of a Kantian subject by forcefully revealing the unbounded power of the faculty of reason, I investigate the possibility that judgements of this kind could serve as a basis for moral motivation. The paper first shows how judgements of sublimity help (...) a subject recognize reason's unbounded nature, and proceeds to analyse the practical effects of a subject judging itself sublime. When judgements of sublimity have as their object the unbounded and unsythesizable power of reason, they may thereby serve as the basis for both the recognition of our moral vocation, and the grounds for determining the will to act from respect for it. Since a judgement of sublimity produces for Kant the experience of an enlivening emotion and an outflowing of vital forces, the paper then develops Kant's concept of “life” motivated by a recognition of its practical orientation. In this way sublimity rather than beauty can be interpreted as symbolic hypotyposis of morality. The paper then takes up less favourable interpretations of the practical effects of self-predicated judgements of sublimity, and constructs critical responses to such positions. I conclude, following Adorno, by stressing the historical and social dimension of the capacities for both making sublime judgements, and being morally enlivened by them. (shrink)

This paper offers an analysis of Kant’s account of the mathematical sublime with reference to his claim that ‘Nature is thus sublime in those of its appearances the intuition of which brings with them the idea of its infinity’. In undertaking this analysis I challenge Paul Crowther’s interpretation of this species of aesthetic experience, and I reject his interpretation as not being reflective of Kant’s actual position. I go on to show that the experience of the mathematical sublime is necessarily (...) connected with the progression of the imagination in its move towards the infinite. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.Kant’s Mathematical Sublime and the Role of the Infinite: Reply to CrowtherVolume 20, Issue 1Simon D. Smith DOI: https://doi.org/10.1017/S1369415414000302Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. Kant’s Mathematical Sublime and the Role of the Infinite: Reply to CrowtherVolume 20, Issue 1Simon D. Smith DOI: https://doi.org/10.1017/S1369415414000302Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. Kant’s Mathematical Sublime and the Role of the Infinite: Reply to CrowtherVolume 20, Issue 1Simon D. Smith DOI: https://doi.org/10.1017/S1369415414000302Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation. (shrink)

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