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Cassirer and the Structural Turn in Modern Geometry
2018
Journal for the History of Analytical Philosophy
The paper investigates Ernst Cassirer's structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff (1910). The aim here is twofold. First, to give a closer study of several developments in projective geometry that form the direct background for Cassirer's philosophical remarks on geometrical concept formation. Specifically, the paper will survey different attempts to justify the principle of duality in projective geometry as well as Felix Klein's
doi:10.15173/jhap.v6i3.3439
fatcat:gxzs5p5jejd5bnmj5ufrovd5uy