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How does the empty set work in arithmetic of surreal numbers?

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#number-theory #surreal-numbers
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Surreal arithmetic with $\frac{1}{2}\omega$

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#infinity #surreal-numbers
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Surcomplex numbers and the largest algebraically closed field

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#field-theory #ordinals #surreal-numbers
223
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Combinatorial game greater than its left options and smaller than its right options.

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#combinatorics #examples-counterexamples #game-theory #combinatorial-game-theory #surreal-numbers
45
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Transitivity of surreal numbers in their sign expansion

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#order-theory #surreal-numbers
36
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Defining surreal addition on signed ordinals

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#ordinals #surreal-numbers
141
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Trouble with Knuth's proof that surreal numbers lie between their left and right sets

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#elementary-set-theory #proof-explanation #surreal-numbers
292
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What are some applications of Surreal Numbers outside of Go endgames?

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#combinatorial-game-theory #surreal-numbers
171
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What Hackenbush game represents oof?

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#combinatorics #game-theory #combinatorial-game-theory #surreal-numbers
174
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Is $\sqrt[\omega]{\omega}$ an omnific integer?

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#surreal-numbers
337
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Are $nimonics$ (nimber mnemonics) a thing?

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#reference-request #combinatorial-game-theory #online-resources #surreal-numbers
76
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How can I calculate a Blue-Red Hackenbush position value using the Simplest Number Tree?

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#algorithms #fractions #trees #combinatorial-game-theory #surreal-numbers
48
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Nonstandard Probability Axiom Construction

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#probability-theory #logic #surreal-numbers
65
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Using Surreal Numbers to measure function growth rate - Tetration?

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#asymptotics #cardinals #surreal-numbers
793
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Algorithm for Converting Rational Into Surreal Number

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#number-theory #algorithms #recursive-algorithms #ordered-fields #surreal-numbers

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