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Chapter Summary

Although with his solutions to the problem of the possible existence of indivisibilia Richard Kilvington seems to fit into the main stream of the fourteenth-century considerations, which leaned toward the refutation of atomism, he attacks and solves the problem in an original manner. This chapter focuses on two of Richard Kilvington's questions, respectively from his De generatione et corruptione and Sentences commentaries. Among twelve principal arguments from his question Utrum continuum sit divisibile in infinitum, which appeal to the problem of infinite divisibility from mathematical, physical, and metaphysical points of view, one finds three strictly geometrical proofs. In these arguments Kilvington deals with the following examples: an angle of tangency, a cone of shadow and a spiral line. Kilvington observes that both an angle of tangency and a rectilinear angle are infinitely divisible.

Keywords: cone; continuity; Richard Kilvington; spiral line; tangency



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