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Hyperreal field extension

Published on
#logic #soft-question #set-theory #field-theory #nonstandard-analysis
424
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Is there a (introductory) differential equations books from the infinitesimal perspective?

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#ordinary-differential-equations #nonstandard-analysis
157
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Subsequence of a bounded sequence converges to a standard part of the hyperreal

Published on
#sequences-and-series #nonstandard-analysis
212
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Infinite union of internal sets not internal

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#set-theory #nonstandard-analysis
1.7k
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Hyperreal measure?

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#measure-theory #elementary-set-theory #nonstandard-analysis
251
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Show that there is a hyperreal number system of the same size as the real numbers?

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#logic #nonstandard-analysis
116
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Does non-standard analysis solve the measure problem?

Published on
#measure-theory #nonstandard-analysis
2.6k
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About 0.999... = 1

Published on
#nonstandard-analysis #decimal-expansion
456
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Does non-standard analysis still make use of classical topology?

Published on
#real-analysis #general-topology #nonstandard-analysis
896
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Integration of hyperreal functions / Intermediate Value Theorem

Published on
#analysis #improper-integrals #nonstandard-analysis
773
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how to create the set of hyperreal numbers using ultraproduct

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#real-analysis #logic #set-theory #model-theory #nonstandard-analysis
263
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Are the non-standard models of classical analysis the standard models of non-standard analysis?

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#real-analysis #nonstandard-analysis
9.7k
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Is the theory of dual numbers strong enough to develop real analysis, and does it resemble Newton's historical method for doing calculus?

Published on
#calculus #real-analysis #abstract-algebra #math-history #nonstandard-analysis
30
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Nonstandard extension of nonstandard hull

Published on
#nonstandard-analysis
111
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In the foundations of NSA with ultrapowers, how much can the axiom of choice be weakened?

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#model-theory #axiom-of-choice #foundations #nonstandard-analysis

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