Nicholas S. Thompson
> [Original Message]
> From: glen e. p. ropella <
[hidden email]>
> To: The Friday Morning Applied Complexity Coffee Group <
[hidden email]>
> Date: 3/22/2010 6:06:58 PM
> Subject: Re: [FRIAM] (advice needed!)
>
> Thus spake Nicholas Thompson circa 10-03-22 04:58 PM:
> > Yes. I am sorry. That was my fault. There was a bit of a slipup between
> > the "provost" and the professor.
>
> No worries! It looks like a great book and I expect I'll enjoy it when
> I pop it off the queue.
>
> > Byers main point is that it is AMBIGUITY that makes maths great! But its a
> > subtle argument because what he is really saying is ironic: as
> > mathematicians strive to reduce amibiguity they inevitably generate more,
> > and thus, against their feverish and futile resistance, does math progress.
>
> Very interesting. If there's one conviction I'm actually guilty of,
> it's believing that irony (or, more accurately, paradox) is the ultimate
> teacher. And ambiguity is closely coupled with paradox. (Warning: the
> broken record begins again.) That's why I'm so fond of "Vicious
> Circles" by Barwise and Moss. It's the closest body of math I've found
> that tries to explain how cycles impact the definiteness of math.
>
> But it's wrapped in other stories, too. I remember once looking up
> "impredicative definition" in the index of some overly large math
> reference book in some library somewhere. (I lose track sometimes. ;-)
> It told me to look at a particular page. That page made a vague
> reference to the term "vicious circle". So, I looked up "vicious
> circle". It took me to another particular page, which made a vague
> reference to "impredicative definitions". If it hadn't been such a
> large book, it would have been funny. Instead, I learned a valuable lesson.
>
> --
> glen e. p. ropella, 971-222-9095, http://agent-based-modeling.com
>
>
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