Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Ehrlich, Philip"'
Autor:
Costin, Ovidiu, Ehrlich, Philip
Conway's real closed field $\mathbf{No}$ of surreal numbers is a sweeping generalization of the real numbers and the ordinals to which a number of elementary functions such as log and exponentiation have been shown to extend. The problems of identify
Externí odkaz:
http://arxiv.org/abs/2208.14331
Autor:
Ehrlich, Philip, Kaplan, Elliot
In [26], the algebraico-tree-theoretic simplicity hierarchical structure of J. H. Conway's ordered field $\mathbf{No}$ of surreal numbers was brought to the fore and employed to provide necessary and sufficient conditions for an ordered field (ordere
Externí odkaz:
http://arxiv.org/abs/2002.07739
Autor:
Ehrlich, Philip
The purpose of this paper is to provide a historical overview of some of the contemporary infinitesimalist alternatives to the Cantor-Dedekind theory of continua. Among the theories we will consider are those that emerge from nonstandard analysis, ni
Externí odkaz:
http://arxiv.org/abs/1808.03345
Autor:
Dries, Lou van den, Ehrlich, Philip
We consider derivations $\partial$ on Conway's field $\mathbf{No}$ of surreal numbers such that the ordered differential field $(\mathbf{No},\partial)$ has constant field $\mathbb{R}$ and is a model of the model companion of the theory of $H$-fields
Externí odkaz:
http://arxiv.org/abs/1807.08861
Autor:
Ehrlich, Philip, Kaplan, Elliot
In [15], the algebraico-tree-theoretic simplicity hierarchical structure of J. H. Conway's ordered field No of surreal numbers was brought to the fore and employed to provide necessary and sufficient conditions for an ordered field to be isomorphic t
Externí odkaz:
http://arxiv.org/abs/1512.04001
In his monograph On Numbers and Games, J. H. Conway introduced a real-closed field No of surreal numbers containing the reals and the ordinals, as well as a vast array of less familiar numbers. A longstanding aim has been to develop analysis on No as
Externí odkaz:
http://arxiv.org/abs/1505.02478
Autor:
Ehrlich, Philip1 (AUTHOR) ehrlich@ohio.edu
Publikováno v:
Philosophy of Science. Oct2022, Vol. 89 Issue 4, p784-801. 18p.
Autor:
EHRLICH, PHILIP, KAPLAN, ELLIOT
Publikováno v:
The Journal of Symbolic Logic, 2018 Jun 01. 83(2), 617-633.
Externí odkaz:
https://www.jstor.org/stable/26600339
Autor:
Ehrlich, Philip, author
Publikováno v:
The History of Continua : Philosophical and Mathematical Perspectives, 2020, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780198809647.003.0019