List questions from nonstandard-analysis

Published on 22 Oct 2017 - 20:38

53

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Prove that $\mathrm{fin}(^\mathbb Q)/\mathrm{inf}(^\mathbb Q)$ is complete.

Published on 24 Oct 2017 - 8:27

305

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Do normal arithmetics apply for infinitesimal variables?

Published on 05 Nov 2017 - 19:41

241

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Relationship between nonstandard analysis and nonstandard models of arithmetic

Published on 25 Mar 2026 - 13:54

116

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Are monotone limited hypersequences converging?

Published on 12 Dec 2017 - 16:31

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Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?

Published on 09 Feb 2011 - 16:23

808

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Does every Cauchy net of hyperreals converge?

Published on 22 Mar 2011 - 4:00

22.1k

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Is non-standard analysis worth learning?

Published on 14 Jul 2011 - 16:50

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Cardinality of the set of hyperreal numbers

Published on 27 Jul 2011 - 12:35

661

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Why adjoining non-Archimedean element doesn't work as calculus foundation?

Published on 12 Sep 2011 - 20:09

256

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Convergence of 1/2^(1+infinitesimal)

Published on 05 Oct 2011 - 4:57

444

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When are complex numbers insufficient?

Published on 19 Nov 2011 - 15:14

129

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Simplify _Elementary Calculus_ section 1.6 problem 25 (incorrect transcription)

Published on 31 Jan 2012 - 20:39

113

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Simplify _Elementary Calculus_ section 1.6 problem 25

Published on 31 Jan 2012 - 22:08

94

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Simplify _Elementary Calculus_ section 1.6 problem 33

Published on 02 Feb 2012 - 5:53

List Question

If $f(q)=g(q)$ for all rationals, prove that $f=g$ by nonstandard methods.

Prove that $\mathrm{fin}(^\mathbb Q)/\mathrm{inf}(^\mathbb Q)$ is complete.

Do normal arithmetics apply for infinitesimal variables?

Relationship between nonstandard analysis and nonstandard models of arithmetic

Are monotone limited hypersequences converging?

Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?

Does every Cauchy net of hyperreals converge?

Is non-standard analysis worth learning?

Cardinality of the set of hyperreal numbers

Why adjoining non-Archimedean element doesn't work as calculus foundation?

Convergence of 1/2^(1+infinitesimal)

When are complex numbers insufficient?

Simplify _Elementary Calculus_ section 1.6 problem 25 (incorrect transcription)

Simplify _Elementary Calculus_ section 1.6 problem 25

Simplify _Elementary Calculus_ section 1.6 problem 33

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