Angela Breitenbach

First, I raise two objections against Ginsborg’s interpretation of natural teleology. I argue that Ginsborg’s notion of primitive normativity is too thin to account for Kant’s more substantive conception of the organism. Furthermore, I question whether Kant has room for a notion of purposiveness that is entirely divorced from intentional activity. Second, I ask about the implications of Ginsborg’s account of the relationship between aesthetic judgement and cognition. I suggest that her reading can easily be extended to allow for aesthetic pleasure in empirical reflection.

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.

We can observe a connection between some serious environmental problems caused by the overexploitation of environmental resources and the particular conceptions of property rights that are claimed to hold with regard to these resources. In this paper, I investigate whether Kant’s conception of property rights might constitute a basis for justifying property regimes that would overcome some of these environmental problems. Kant’s argument for the right to property, put forward in his Doctrine of right, is complex. In Section 2, I attempt an interpretation. Section 3 works out the defining characteristics of the conception of property rights that Kant’s argument establishes and investigates their implications for determining property regimes in environmental resources. Kant proposes a minimalist notion of the right to property as a triadic relation between persons with regard to an object, justified only on the condition that it is universalizable in the given circumstances. I argue that this notion offers a promising account for determining property relations with regard to environmental resources. By way of illustration, in Section 4, I focus on an example of Kantian property rights in one type of environmental resource: the marine fisheries.