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Roots of polynomials of $R[x]$ in the surreals

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#real-numbers #number-systems #surreal-numbers
112
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What is the CGT value of Misère Hex?

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#combinatorial-game-theory #surreal-numbers
230
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Do surreals prove reals are countable?

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#infinitesimals #surreal-numbers
1.3k
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Examples of Surreal Numbers that are only Surreal Numbers?

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#surreal-numbers
120
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Descending Game Condition and Transfinite induction

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#combinatorial-game-theory #surreal-numbers
195
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Proof that $x+(-x)=0$ for surreal numbers

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#combinatorial-game-theory #surreal-numbers
523
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How do surreal numbers relate to real numbers?

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#surreal-numbers
189
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Improper integrals over the reals and surreal numbers

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#analysis #logic #field-theory #combinatorial-game-theory #surreal-numbers
212
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Is multiplication of games that are equivalent to numbers well-defined?

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#combinatorial-game-theory #surreal-numbers
273
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Proof that "$\uparrow$ is the unique solution of $\pmb{+}_G=G$"

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#combinatorial-game-theory #infinitesimals #surreal-numbers #infinite-games
1.2k
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$\omega$th iteration of Cayley-Dickson construction

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#sequences-and-series #infinite-groups #transfinite-recursion #surreal-numbers #transfinite-induction
177
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Prove that a surreal number is born in a finite stage if and only if it is of the form $\frac m{2^n}$.

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#induction #surreal-numbers
495
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Conway Notation for Large Countable Ordinals

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#ordinals #online-resources #surreal-numbers #ordinal-analysis
184
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Every dyadic rational is constructed as a surreal number in finitely many days

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#surreal-numbers
309
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Why is the surreal number collection not a set

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#set-theory #surreal-numbers

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