Philip Ehrlich

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

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.

## References

1. ↑ http://www.ohio.edu/cas/ehrlich/

## External links

* http://www.ohio.edu/cas/ehrlich/

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