ABSTRACT
The chapter discusses the account of construction in pure intuition that allows Immanuel Kant to give a more detailed answer to the three open questions about mathematical knowledge from the Prize Essay. It traces the development of Kant's views about mathematical cognition in order to outline the broader metaphysical and epistemological issues about mathematics that also contributed to the development of Kant's Critical philosophy. It explains how Kant addresses these issues by analyzing the conditions of possible experience. The publication of the Critique of Pure Reason, Kant entered into a debate over the relative claims to truth of mathematics and metaphysics. Kant's general project in the Critique of Pure Reason is to explain the possibility of synthetic a priori cognition. The doctrine of pure intuition allows Kant to distinguish his claim that geometry is necessarily true and applicable to the world from the metaphysicians' claim that it is "an empty delusion of the imagination".
