List questions from infinitesimals

Published on 22 Mar 2026 - 0:36

89

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a≤b, b-a<ε => unique C which is A's upper bound, and B's lower bound

Published on 29 Oct 2020 - 20:58

244

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Ultraproduct construction: are finite hyperreals just a thinly disguised version of Cauchy sequences?

Published on 29 Mar 2026 - 19:17

105

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Might the derivative be a measure of a shrinking curve instead of a point?

Published on 14 Nov 2020 - 15:19

41

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If $A$ is dense in $\Bbb R$, then $A∩Q$ is dense in $\Bbb R$ or $A∩(\Bbb R\setminus Q)$ is dense in $\Bbb R$

Published on 22 Nov 2020 - 12:51

37

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Possibility of replacement zero and his inverse by infinitesimals/infinities for non-problematic calculations

Published on 23 Nov 2020 - 14:43

49

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Derive $a^x$ using infinitesimal notation

Published on 07 Dec 2020 - 16:10

57

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Can someone help me with this limit?

Published on 11 Dec 2020 - 14:32

49

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Can someone help me with this other limit?

Published on 11 Dec 2020 - 15:17

79

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Geometric proof of $\sin(\theta)' = \cos(\theta)$ using infinitesimals

Published on 13 Dec 2020 - 20:13

650

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Is $ f(x)=x^2 \sin x $ Uniformly Continuous on $\mathbb{R}$?

Published on 18 Dec 2020 - 15:15

60

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On the existence of functions with infinitesimal images.

Published on 21 Mar 2026 - 18:44

148

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$\lim_{x→0^+} \frac{\sin(6x)}{\sqrt{\sin(2x)}}$

Published on 26 Dec 2020 - 23:35

147

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Conceptual Question About the Nature of PDE Boundary Conditions

Published on 27 Dec 2020 - 16:17

495

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Interior points and measure zero set.

Published on 31 Dec 2020 - 22:12

List Question

Absolute Value in Smooth Infinitesimal Analysis

a≤b, b-a<ε => unique C which is A's upper bound, and B's lower bound

Ultraproduct construction: are finite hyperreals just a thinly disguised version of Cauchy sequences?

Might the derivative be a measure of a shrinking curve instead of a point?

If $A$ is dense in $\Bbb R$, then $A∩Q$ is dense in $\Bbb R$ or $A∩(\Bbb R\setminus Q)$ is dense in $\Bbb R$

Possibility of replacement zero and his inverse by infinitesimals/infinities for non-problematic calculations

Derive $a^x$ using infinitesimal notation

Can someone help me with this limit?

Can someone help me with this other limit?

Geometric proof of $\sin(\theta)' = \cos(\theta)$ using infinitesimals

Is $ f(x)=x^2 \sin x $ Uniformly Continuous on $\mathbb{R}$?

On the existence of functions with infinitesimal images.

$\lim_{x→0^+} \frac{\sin(6x)}{\sqrt{\sin(2x)}}$

Conceptual Question About the Nature of PDE Boundary Conditions

Interior points and measure zero set.

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