David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Review of Symbolic Logic 5 (2):294-353 (2012)
Traditional geometry concerns itself with planimetric and stereometric considerations, which are at the root of the division between plane and solid geometry. To raise the issue of the relation between these two areas brings with it a host of different problems that pertain to mathematical practice, epistemology, semantics, ontology, methodology, and logic. In addition, issues of psychology and pedagogy are also important here. To our knowledge there is no single contribution that studies in detail even one of the aforementioned areas
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References found in this work BETA
Andrew Arana (2008). Logical and Semantic Purity. Protosociology 25:36-48.
Andrew Arana (2009). On Formally Measuring and Eliminating Extraneous Notions in Proofs. Philosophia Mathematica 17 (2):208–219.
Rudolf Carnap (1937). The Logical Syntax of Language. London, K. Paul, Trench, Trubner & Co., Ltd..
Vincenzo De Risi (2007). Geometry and Monadology: Leibniz's Analysis Situs and Philosophy of Space. Birkhäuser.
Michael Detlefsen & Andrew Arana (2011). Purity of Methods. Philosophers' Imprint 11 (2).
Citations of this work BETA
John T. Baldwin (2012). Formalization, Primitive Concepts, and Purity. Review of Symbolic Logic 1 (1):1-42.
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