Philip Ehrlich
Philip Ehrlich is Professor at Department of Philosophy of Ohio University. 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
::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).
*.
::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. Journal of 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.
::R. Gregory Taylor wrote: "Ehrlich has brought together some valuable work on issues of great interest to logicians and philosophers of mathematics" here.
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
::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).
*.
::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. Journal of 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.
::R. Gregory Taylor wrote: "Ehrlich has brought together some valuable work on issues of great interest to logicians and philosophers of mathematics" here.
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