
90Is Geometry Analytic?Dianoia 1 (4). 2017.In this paper I present critical evaluations of Ayer and Putnam's views on the analyticity of geometry. By drawing on the historicophilosophical work of Michael Friedman on the relativized apriori; and Roberto Torretti on the foundations of geometry, I show how we can make sense of the assertion that pure geometry is analytic in Carnap's sense.

7Berkeley, arguing against Barrow, claims that the infinite divisibility of finite lines is neither an axiom nor a theorem in Euclid The Thirteen Books of The Elements. Instead, he suggests that it is rooted in ancient prejudice. In this paper, I attempt to substantiate Berkeley’s claims by looking carefully at the history and practice of ancient geometry as a first step towards understanding Berkeley’s mathematical atomism.