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Must sign expansion definition of surreal addition use induction on the natural sum?

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#number-theory #surreal-numbers
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Why does the inverse of surreal numbers exist?

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#field-theory #surreal-numbers
530
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How are the cardinalities of infinite sets described in systems where the continuum hypothesis doesn't hold?

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#set-theory #cardinals #surreal-numbers
470
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Any references on supercomplex/surcomplex numbers?

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#complex-numbers #surreal-numbers #hypercomplex-numbers
131
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examples of sign expansion from normal forms of surreal numbers

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#number-systems #surreal-numbers
1.5k
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Surreal and ordinal numbers

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#set-theory #number-systems #surreal-numbers
842
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Notation for surreal numbers

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#set-theory #number-systems #combinatorial-game-theory #surreal-numbers
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Surreal numbers without the axiom of infinity

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#set-theory #number-systems #surreal-numbers
1k
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Integral of a function defined in the set of Surreal Numbers

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#integration #analysis #combinatorial-game-theory #surreal-numbers
2.1k
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Are surreal numbers actually well-defined in ZFC?

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#set-theory #number-systems #surreal-numbers
8.1k
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What's the difference between hyperreal and surreal numbers?

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#field-theory #number-systems #nonstandard-analysis #surreal-numbers
355
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Please clarify the pun in an equation with omega and infinity

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#infinity #ordinals #surreal-numbers
309
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What is Arithmetic Continuum

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#real-analysis #order-theory #ordered-fields #surreal-numbers
70
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Which dyadic rationals can be built on domineering boards?

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#combinatorial-game-theory #surreal-numbers
168
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What is a good way to represent the surreal numbers in a line?

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#surreal-numbers

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