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TLDR. The origins of Fregean and neo-Fregean foundations for arithmetic and real analysis are traced and it is argued that an Architectonic version of $FC$ is indeed faithful to Frege’s definition of real numbers, and compatible with his views on natural ones. Expand.
2 de sept. de 2019 · On the foundations of geometry and formal theories of arithmetic : Frege, Gottlob, 1848-1925 : Free Download, Borrow, and Streaming : Internet Archive.
On the foundations of geometry and formal theories of arithmetic, by Gottlob Frege, translated and with an introduction by Eike-Henner W. Kluge, Yale University Press, New Haven and London1971, pp. 3–5. - Gottlob Frege and David Hilbert.
On the foundations of geometry and formal theories of arithmetic, by Gottlob Frege, translated and with an introduction by Eike-Henner W. Kluge, Yale University Press, New Haven and London 1971, pp. xi-xlii.
Semantic Scholar extracted view of "On the Foundations of Geometry and Formal Theories of Arithmetic" by F. O'Gorman. Skip to search form Skip to main content ... @article{OGorman1973OnTF, title={On the Foundations of Geometry and Formal Theories of Arithmetic}, author={Frank O'Gorman}, journal={Philosophical Studies}, year={1973 ...
First, the general theory of relativity “essentially employs a geometry of variable curvature,” but Poincaré limits geometrical consideration to manifolds of constant curvature, by requiring that the
31 de jul. de 2003 · Hilbert’s work on the foundations of mathematics has its roots in his work on geometry of the 1890s, culminating in his influential textbook Foundations of Geometry (see 19th Century Geometry). Hilbert believed that the proper way to develop any scientific subject rigorously required an axiomatic approach.
