Timeline for Nonstandard analysis in probability theory
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 12, 2015 at 11:44 | history | edited | Kevin O'Bryant | CC BY-SA 3.0 |
grammar fix
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| Sep 26, 2012 at 14:11 | comment | added | BSteinhurst | The edit brought forth what I knew you were saying but in a less provocative style. I happen to agree with the main point of your answer, I just got stuck on one particular phrase. | |
| Sep 25, 2012 at 20:39 | history | edited | Kevin O'Bryant | CC BY-SA 3.0 |
disclaimer that I'm aware I'm generalizing
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| Sep 25, 2012 at 20:28 | comment | added | Kevin O'Bryant | Well, it was a sweeping question, and I did hedge over and over with "in my experience" and "anecdotally" and "I". I'm aware I'm generalizing like nuts. What I meant, more than a lack of need to be rigorous, is that probabilists (in my meager experience) are comfortable with infinitesimals as rigorous. In light of NSA, that's fine, even if one isn't familiar with the intricacies of internal vs external, saturation, etc. | |
| Sep 25, 2012 at 7:52 | comment | added | Yemon Choi | As for 2nd para - well KOB probably has more experience and insight than me here, but this isn't the impression I took (as a non-probabilist, admittedly) from e.g.the Rogers-Williams books on stochastic processes. | |
| Sep 25, 2012 at 7:47 | comment | added | Yemon Choi | I'm a little bothered by the sweeping nature of the 1st para. I've never met a Banach algebraist who is enraptured by Beck's monadicity theorem, but I'm not sure that proves much. | |
| Sep 25, 2012 at 2:03 | comment | added | BSteinhurst | The idea that "everyone knows that Brownian Motion is the limit of simple random walks. They don't feel the need to make this rigorous, it is just self evident." really bothers me. Just because there is standard machinery that is cited to show the limit exists does not mean that no one feels the need for rigor. | |
| Sep 25, 2012 at 1:44 | history | answered | Kevin O'Bryant | CC BY-SA 3.0 |