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Conway Numbers and Iteration Theory

✍ Scribed by James D. Louck

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
289 KB
Volume
18
Category
Article
ISSN
0196-8858

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✦ Synopsis

Conway ''On Numbers and Games,'' Academic Press, New York, 1976

has given an inductive procedure for generating the real numbers that extends in a natural way to a new class of numbers called the surreals. The number 0 is defined at the first step in terms of a pair of empty sets. At step 1, the number 1 and its Γ„ 4 negative are generated, giving the set 1, 0, y1 ; at step 2, the numbers 2, 1r2 and Γ„ 4 their negatives are generated, giving the set 2, 1

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