De Waal, Tamsin; (2022) The Mathematicians’ Use of Diagrams in Plato. In: Kürbis, Nils and Assadian, Bahram and Nassim, Jonathan, (eds.) Knowledge, Number and Reality: Encounters with the Work of Keith Hossack. (pp. 143-160). Bloomsbury Publishing: London, UK.

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Abstract

Throughout his career, Keith Hossack has made outstanding contributions to the theory of knowledge, metaphysics and the philosophy of mathematics. This collection of previously unpublished papers begins with a focus on Hossack's conception of the nature of knowledge, his metaphysics of facts and his account of the relations between knowledge, agents and facts. Attention moves to Hossack's philosophy of mind and the nature of consciousness, before turning to the notion of necessity and its interaction with a priori knowledge. Hossack's views on the nature of proof, logical truth, conditionals and generality are discussed in depth. In the final chapters, questions about the identity of mathematical objects and our knowledge of them take centre stage, together with questions about the necessity and generality of mathematical and logical truths. Knowledge, Number and Reality represents some of the most vibrant discussions taking place in analytic philosophy today.

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