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Archimedean property
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1	Sergei Agayan Education: Faculty of Mechanics and Mathematics of the M. V. Lomonosov Moscow State University (MSU), 1977. Degrees:  Add to Reading List Source URL: b.gcras.ru Language: English - Date: 2015-12-03 08:37:34 Abstract algebra Algebra Mathematics Banach algebra Fourier analysis Archimedean property Gelfand Discrete mathematics C*-algebras
2	Sergei Agayan Education: Faculty of Mechanics and Mathematics of the M. V. Lomonosov Moscow State University (MSU), 1977. Degrees:  Add to Reading List Source URL: www.gcras.ru Language: English - Date: 2015-12-03 08:37:34 Abstract algebra Algebra Mathematics Banach algebra Fourier analysis Archimedean property Gelfand Discrete mathematics C*-algebras
3	Computability Theory, Reverse Mathematics, and Ordered Fields Oscar Louis Levin, Ph.D. University of Connecticut, 2009 Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2009-04-27 16:38:49 Field theory Computability theory Real algebraic geometry Theory of computation Elementary mathematics Ordered field Computable function Field Archimedean property Function Real number Reverse mathematics
4	Chapter 2. How? The Logical Problem of Consciousness (Cassirer- Hilbert- Maturana: an Archimedean Fulcrum) "... Every attempt to transform logic must concentrate above all upon this one point: all criticism of formal log Add to Reading List Source URL: www.foothill.net Language: English - Date: 2007-03-22 15:32:08 Abstraction Set theory Function Axiom Euclidean geometry David Hilbert Ernst Cassirer Property Mereology Mathematics Logic Mathematical logic
5	An Irrational Construction of R from Z R.D. Arthan Lemma 1 Ltd. 2nd Floor, 31A Chain Street, Reading UK RG1 2HX Add to Reading List Source URL: www.lemma-one.com Language: English - Date: 2008-07-11 10:37:44 Field theory Elementary mathematics Real algebraic geometry Algebraic structures Ring theory Construction of the real numbers Archimedean property Real number Field Abstract algebra Mathematics Algebra
6	c Pleiades Publishing, Ltd., 2010. ISSN[removed], p-Adic Numbers, Ultrametric Analysis and Applications, 2010, Vol. 2, No. 1, pp. 77–87. RESEARCH ARTICLES Number Theory as the Ultimate Physical Theory∗ Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2010-07-16 06:42:40 Field theory Number theory Metric geometry Mathematical analysis P-adic analysis P-adic number Algebraic number theory Archimedean property Absolute value Abstract algebra Mathematics Algebra
7	INFINITESIMALS ARE TOO SMALL FOR COUNTABLY INFINITE FAIR LOTTERIES ALEXANDER R. PRUSS Abstract. We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair Add to Reading List Source URL: alexanderpruss.com Language: English - Date: 2013-06-12 13:10:22 Infinity Abstraction Calculus Real closed field Mathematical logic Infinitesimal Archimedean property Standard part function Measure Mathematics Abstract algebra Non-standard analysis
8	Chapter 10 Orderings and valuations 10.1 Ordered fields and their natural valuations Add to Reading List Source URL: math.usask.ca Language: English - Date: 2011-07-14 03:23:21 Valuation ring Henselian ring Valuation Archimedean property Ordered field Formally real field Algebraic closure Prime number Field extension Abstract algebra Algebra Field theory
9	The Mathematics Educator[removed]Vol. 21, No. 2, 58–67 Does 0.999… Really Equal 1? Anderson Norton and Michael Baldwin This article confronts the issue of why secondary and postsecondary students resist accepting t Add to Reading List Source URL: tme.coe.uga.edu Language: English - Date: 2012-08-08 19:27:17 Field theory Elementary mathematics Non-standard analysis Calculus 0.999... Infinitesimal Archimedean property Number Real number Mathematics Abstract algebra Infinity
10	1 The Real Number System The rational numbers are beautiful, but are not big enough for various purposes, and the set R of real numbers was constructed in the late nineteenth century, as a kind of an envelope of Q. (Mor Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-10-01 12:25:51 Real algebraic geometry Elementary mathematics Construction of the real numbers Constructivism Archimedean property Number system Axiom Linear continuum Real number Mathematics Abstract algebra Field theory