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Physical/Geometric models for Reals , of different Cardinality (Lowenheim-Skolem, etc)?

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#nonstandard-analysis #nonstandard-models
57
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Doubt in geometry of nilpotent elements.

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#calculus #abstract-algebra #nonstandard-analysis
196
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Can the Dedekind completion of the hyperreal numbers be embedded in an ordered field?

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#field-theory #order-theory #nonstandard-analysis #ordered-fields
128
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Application of the transfer theorem in elementary calculus (Davis' Applied nonstandard analysis)

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#real-analysis #nonstandard-analysis
310
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Internal set theory: proof that limited integers are standard

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#nonstandard-analysis
260
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What is the hyperreal multiplicative inverse of $1 + \epsilon$, and how do we show it exists?

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#nonstandard-analysis #nonstandard-models #surreal-numbers
381
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Reference request: How is $0.99\cdots$ defined in nonstandard analysis?

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#reference-request #nonstandard-analysis
200
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Hyperreal Numbers (Sequence Definition)

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#nonstandard-analysis
913
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Hyperreals, other models and 1=0.999....

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#logic #nonstandard-analysis
254
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What is $\sin{ω}$?

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#nonstandard-analysis
255
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What does it mean for an expression to be "finite but not infinitesimal"?

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#calculus #infinity #nonstandard-analysis #infinitesimals
72
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denominator with standard part 0

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#calculus #infinity #nonstandard-analysis #infinitesimals
146
Views

Isomorphism of hyperreal fields viewed as extensions of the real field

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#logic #field-theory #model-theory #nonstandard-analysis #ordered-fields
103
Views

Clarification on type of proof argument

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#real-analysis #sequences-and-series #nonstandard-analysis
874
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How to get an introduction to non-standard analysis?

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#soft-question #nonstandard-analysis

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