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  1. The Impossible Biangle and the Possibility of Geometry.Jeffrey L. Wilson - 2024 - Kant Yearbook 16 (1):121-143.
    Kant repeatedly uses the biangle as an example of an impossible figure. In this paper, I offer an account of these passages and their significance for the possibility of geometry as a science. According to Kant, the constructibility of the biangle would signal the failure of geometry. Whereas Wolff derives the no-biangle proposition from the axiom that between two points there can be only one straight line, Kant gives it axiomatic status as a synthetic a priori principle possessing immediate certainty. (...)
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  • “The Shape of a Four-Footed Animal in General”: Kant on Empirical Schemata and the System of Nature.Jessica J. Williams - 2020 - Hopos: The Journal of the International Society for the History of Philosophy of Science 10 (1):1-23.
    In this paper, I argue that although Kant’s account of empirical schemata in the Critique of Pure Reason is primarily used to explain the shared content of intuitions and empirical concepts, it is also informed by methodological problems in natural history. I argue that empirical schemata, which are rules for determining the spatiotemporal form of objects, not only serve to connect individual intuitions with concepts, but also concern the very features of objects on the basis of which they were connected (...)
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