List questions from nonstandard-analysis

Published on 13 Jun 2013 - 18:00

355

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Is there a universal property for the ultraproduct?

Published on 17 Jun 2013 - 18:54

277

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How to distinguish convergence with limited fluctuation in a non-standard setting?

Published on 25 Jun 2013 - 8:02

1.1k

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Can $\sum_{x \in [0,1]} e^x$ be represented as an integral?

Published on 11 Jul 2013 - 14:34

219

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What's the idea behind the proof of saturation of internal sets via ultrapower construction?

Published on 12 Jul 2013 - 13:13

4.1k

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Is mathematical history written by the victors?

Published on 16 Jul 2013 - 16:35

169

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Question on the ultrapower construction of superstructure

Published on 17 Jul 2013 - 0:49

188

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Law of iterated expectation in an algebraic axiomatization of probability theory

Published on 19 Jul 2013 - 19:00

89

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Concurrent relation and enlargement

Published on 26 Jul 2013 - 3:25

2.6k

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Does "cheap nonstandard analysis" take place in a topos?

Published on 28 Jul 2013 - 22:48

10.6k

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What does limit actually mean?

Published on 30 Jul 2013 - 13:31

17.1k

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What is the meaning of infinitesimal?

Published on 30 Jul 2013 - 13:54

2.7k

Views

Definition of the integral in non-standard calculus

Published on 10 Aug 2013 - 20:28

672

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Confused about differentiation

Published on 25 Aug 2013 - 15:26

63

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Show that, for a random walk $X$ on $\mathbb Z_2$, $X_\infty$ is independent of the past $\left\{ X_t \right\}_{0\le t<\infty}$

Published on 30 Aug 2013 - 22:10

List Question

Two hyperreal numbers infinitely close to each other; $100$ and $100+\epsilon$

Is there a universal property for the ultraproduct?

How to distinguish convergence with limited fluctuation in a non-standard setting?

Can $\sum_{x \in [0,1]} e^x$ be represented as an integral?

What's the idea behind the proof of saturation of internal sets via ultrapower construction?

Is mathematical history written by the victors?

Question on the ultrapower construction of superstructure

Law of iterated expectation in an algebraic axiomatization of probability theory

Concurrent relation and enlargement

Does "cheap nonstandard analysis" take place in a topos?

What does limit actually mean?

What is the meaning of infinitesimal?

Definition of the integral in non-standard calculus

Confused about differentiation

Show that, for a random walk $X$ on $\mathbb Z_2$, $X_\infty$ is independent of the past $\left\{ X_t \right\}_{0\le t<\infty}$

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