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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.
A philosophical introduction to the foundations of elementary arithmetic. Andrew Boucher - manuscript On interpretations of bounded arithmetic and bounded set theory.
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 ...
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.
Summary: The primary aim of this volume is to make available to the English-speaking reader of Frege's more important writings on the notion of a purely formal theory and on independence proofs from the axioms of axiomatic systems
On the Foundations of Geometry and Formal Theories of Arithmetic. [REVIEW] Michael D. Resnik - 1973 - Philosophical Review 82 (2):266-269.
