Angela Breitenbach

In this paper I discuss two questions. What does Kant understand by mechanical explanation in the Critique of judgment? And why does he think that mechanical explanation is the only type of the explanation of nature available to us? According to the interpretation proposed, mechanical explanations in the Critique of judgment refer to a particular species of empirical causal laws. Mechanical laws aim to explain nature by reference to the causal interaction between the forces of the parts of matter and the way in which they form into complex material wholes. Just like any other empirical causal law, however, mechanical laws can never be known with full certainty. The conception according to which we can explain all of nature by means of mechanical laws, it turns out, is based on what Kant calls ‘regulative’ or ‘reflective’ considerations about nature. Nothing in Kant’s Critique of judgment suggests that these considerations can ever be justified by reference to how the natural world really is. I suggest that what, upon first consideration, appears to be a thoroughly mechanistic conception of nature in Kant is much more limited than one might have expected.

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.