Biography: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).

• Ehrlich, Philip (2006), "The rise of non-Archimedean mathematics and the roots of a misconception. I. The emergence of non-Archimedean systems of magnitudes", Archive for History of Exact Sciences 60 (1): 1–121, doi:10.1007/s00407-005-0102-4 .

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.

External links

• http://www.ohio.edu/cas/ehrlich/