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How much arithmetic can we find definably in the surreals?

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#logic #model-theory #peano-axioms #surreal-numbers
40
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Is there any theory looking at infinitesimal probabilities as surreal numbers??

Published on
#probability-distributions #infinitesimals #surreal-numbers
84
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Transfinitely iterating the Puiseux, Levi-Civita, or Hahn series constructions

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#logic #set-theory #model-theory #nonstandard-analysis #surreal-numbers
176
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Inductive hypothesis in surreal multiplication proof

Published on
#surreal-numbers
97
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What's wrong with the following definition of $\lim$ and derivative for the surreal numbers?

Published on
#limits #analysis #derivatives #surreal-numbers
88
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Attempt do define a limit of a function for surreal numbers?

Published on
#limits #analysis #surreal-numbers
111
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Surreal numbers ordering and false inequality $1\le0$

Published on
#elementary-set-theory #order-theory #surreal-numbers
207
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Can the hyper hyper real numbers be constructed?

Published on
#infinity #nonstandard-analysis #infinitesimals #ordered-fields #surreal-numbers
283
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Can the surreal numbers be completed to form an ordered field?

Published on
#field-theory #cauchy-sequences #complete-spaces #ordered-fields #surreal-numbers
45
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Is $No^2$ or $(\mathbb{R}^*)^2$ rotation invariant?

Published on
#complete-spaces #nonstandard-analysis #surreal-numbers
158
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What is the “maximal hyperreal field”?

Published on
#extension-field #model-theory #online-resources #nonstandard-analysis #surreal-numbers
255
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In the field $No$ of surreal numbers, does $\underbrace {\frac 1 \omega + \frac 1 \omega + ...}_{\omega\text{ times}}= 1?$

Published on
#probability #surreal-numbers
57
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Hyper-extensions of Hom space

Published on
#elementary-set-theory #set-theory #model-theory #nonstandard-models #surreal-numbers
98
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Can the Surreals be Cauchy complete by allowing for ordinal length sequences?

Published on
#convergence-divergence #surreal-numbers
143
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Hyperreals and Suslin problem

Published on
#real-analysis #general-topology #descriptive-set-theory #surreal-numbers

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