Philip Ehrlich
From Infogalactic: the planetary knowledge core
Philip Ehrlich is Professor at Department of Philosophy of Ohio University.[1] His main areas of interest are Logic, History of Mathematics, and Philosophy of Science.
Selected works
- Ehrlich, P.: The absolute arithmetic continuum and the unification of all numbers great and small. The Bulletin of Symbolic Logic 18 (2012), no. 1, 1—45. here
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- The paper shows that Conway's maximal surreal field is isomorphic as an ordered field to a maximal hyperreal field (in NBG) (see p. 35).
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- Reviewer for MathSciNet wrote: "This ... comprehensive study on the early history of non-Archimedean mathematics ... provides an excellent survey of highest scholarly standards" here
- Ehrlich, Philip: Number systems with simplicity hierarchies: a generalization of Conway's theory of surreal numbers. J. Symbolic Logic 66 (2001), no. 3, 1231–1258.
- Real numbers, generalizations of the reals, and theories of continua. Edited by Philip Ehrlich. Synthese Library, 242. Kluwer Academic Publishers Group, Dordrecht, 1994.
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- R. Gregory Taylor wrote: "Ehrlich has brought together some valuable work on issues of great interest to logicians and philosophers of mathematics" here.