On the relationship between plane and solid geometry

Review of Symbolic Logic 5 (2):294-353 (2012)
Abstract
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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DOI 10.1017/S1755020312000020
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References found in this work BETA
Principles of Mathematics.Bertrand Russell - 1903 - Cambridge University Press.
The Logical Syntax of Language.Rudolf Carnap - 1937 - London: K. Paul, Trench, Trubner & Co..

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Citations of this work BETA
Formalization, Primitive Concepts, and Purity.John T. Baldwin - 2012 - Review of Symbolic Logic 1 (1):1-42.
Are There Genuine Physical Explanations of Mathematical Phenomena?B. Skow - 2013 - British Journal for the Philosophy of Science 66 (1):axt038.
Infini, Logique, Geométrie.Marco Panza - 2016 - History and Philosophy of Logic 37 (4):396-399.

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