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where does a nonstandard proof of uniform convergence of a product of bounded uniformly convergent functions use boundedness?

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#uniform-convergence #nonstandard-analysis
51
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measurability for function on internal measure space

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#measure-theory #nonstandard-analysis #nonstandard-models
110
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Question about the definition of superstructure

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#model-theory #nonstandard-analysis #nonstandard-models
161
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Do the properties of the hyperreal numbers change depending on the ultrafilter used?

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#logic #set-theory #nonstandard-analysis #nonstandard-models
84
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Any set can be easily replaced by a base set with the same size

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#model-theory #nonstandard-analysis #nonstandard-models
134
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Is There a notion of Convergence for the Non-Standard Reals? How can we do Analysis?

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#soft-question #nonstandard-analysis #nonstandard-models
42
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Uniformly Bounded Functions of Hyperreals

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#uniform-convergence #nonstandard-analysis #infinitesimals #nonstandard-models
491
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Is $\epsilon^2/\epsilon^2=1$ or $0/0$?

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#number-systems #nonstandard-analysis
2.4k
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Construction of the Hyperreal numbers

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#field-theory #definition #nonstandard-analysis #real-numbers
1k
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Uniqueness of hyperreals contructed via ultrapowers

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#real-analysis #model-theory #filters #nonstandard-analysis
103
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Microcontinuous vs Continuous

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#continuity #nonstandard-analysis
127
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Difference between $\mathrm {d} x$ and $\delta x $

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#notation #nonstandard-analysis
636
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Is the standard part function another devil's staircase?

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#calculus #functions #derivatives #continuity #nonstandard-analysis
566
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Non-Standard Analysis Solution to Differential Equations

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#nonstandard-analysis
418
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l'Hopital's questionable premise?

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#calculus #reference-request #soft-question #math-history #nonstandard-analysis

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