Number systems with simplicity hierarchies: A generalization of Conway's theory of surreal numbers

被引：19

作者：

Ehrlich, P ^{[1
]}

机构：

[1] Ohio Univ, Dept Philosophy, Athens, OH 45701 USA

来源：

JOURNAL OF SYMBOLIC LOGIC | 2001年 / 66卷 / 03期

关键词：

D O I：

10.2307/2695104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：1231 / 1258

页数：28

共 9 条

[1] NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY'S THEORY OF SURREAL NUMBERS II
Ehrlich, Philip
Kaplan, Elliot
JOURNAL OF SYMBOLIC LOGIC, 2018, 83 (02) : 617 - 633
[2] Number systems with simplicity hierarchies: A generalization of Conway's theory of surreal numbers (vol 66, pg 1231, 2001)
Ehrlich, P
JOURNAL OF SYMBOLIC LOGIC, 2005, 70 (03) : 1022 - 1022
[3] Conway names, the simplicity hierarchy and the surreal number tree
Ehrlich, Philip
JOURNAL OF LOGIC AND ANALYSIS, 2011, 3
[4] On Conway numbers and generalized real numbers - Conway's theory of games and numbers constructively reconstructed
Rosemeier, F
REUNITING THE ANTIPODES - CONSTRUCTIVE AND NONSTANDARD VIEWS OF THE CONTINUUM, 2001, 306 : 211 - 227
[5] CANONIC NUMBER-SYSTEMS IN THE THEORY OF QUADRATIC ALGEBRAIC-NUMBERS
KATAI, I
KOVACS, B
ACTA SCIENTIARUM MATHEMATICARUM, 1980, 42 (1-2): : 99 - 107
[6] Routh's method in the theory of systems. I. Generalization of Routh's problem in problems in the theory of systems
Barabanov, A.T., 1600, (29):
[7] BEYOND KNUTH'S NOTATION FOR UNIMAGINABLE NUMBERS WITHIN COMPUTATIONAL NUMBER THEORY
Leonardis, Antonino
D'Atri, Gianfranco
Caldarola, Fabio
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2022, 31 : 55 - 73
[8] MEASURING THE SIZE OF INFINITE COLLECTIONS OF NATURAL NUMBERS: WAS CANTOR'S THEORY OF INFINITE NUMBER INEVITABLE?
Mancosu, Paolo
REVIEW OF SYMBOLIC LOGIC, 2009, 2 (04): : 612 - 646
[9] The standard residual theory of Abel's relative number field as a class-field theory in small numbers.
Hasse, H
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1930, 162 (1/4): : 145 - 154

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