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Il giorno 24/dic/2010, alle ore 18.58, Carlo Petuchia ha scritto:

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> Doug,
>  
>    I do not think any of these models are really arcane...it is true that 
> many of the cartometric methods developed in the last 40 years or so since 
> Tobler's Bi-dimensional regression have been slow to catch on in the history 
> of cartography but in other fields with historical components like 
> archaeology, paleontology and evolutionary biology, these types of 
> statistical and stochastic models have been quite useful and are well known 
> to academic researchers. The one thing I find inertesting about Hessler's 
> paper and those by other people who do this sort of work, like Gaspar and 
> Livieratos for example, is that they actually treat the measurement aspect of 
> map creation as if it is something that is encoded in the final map, which of 
> course it is.  In other words as if the map is the outcome of a measurement 
> process that can tell us something of the technology and science that created 
> the data it visually displays. There are many modern theories of measurement 
> and I think they can be quite useful in historical studies of material 
> culture that are the result of the outcomes of measurement. Hessler assumes a 
> model  from Bas van Fraasen, who I think he studied with, which assumes that 
> every measurement using an instrument (like a compass or astrolab) is 
> composed of three things:
>  
> 1.  a family of observables M (physical magnitudes like declination and 
> longitude) each with a range of possible values.
> 
> 2.  a set states S...physical states of both the system measured ( the moving 
> ship for example) and of the measuring system (the human compass interaction).
> 
> 3. a stochastic response function P for each m in M and s in S, which is a 
> probability measure of the range m with P to be interpreted as the 
> probability that a measurement of m will give a value in E, if performed when 
> the state is s.
> 
> This is exactly how people like me who study the outcomes of quantum 
> measurements in particle accelerators think of any measurement process. In 
> any case I certainly appreciate the excercise of these multi-disciplinary 
> researchers.
> 
> Happy Holidays to all. I am on my way back home to Padua.
> 
> Carlo
> 
>  
>  
> On Thu, Dec 23, 2010 at 5:01 PM, Doug McIlroy <[email protected]> wrote:
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> >Funny things is all these great mathematical models remind me of
> >the "very elegant mathematics" used in the mainstream economic
> >theory of the last 2 decades which showed that markets function
> >perfectly and that we are living in the best of all worlds.
> 
> Much writing on economics has the flavor of natural sciences
> in ancient Greece: by pure reasoning, without data, a perfect
> market gets described.  Then the description gets equated with
> reality.  But that's not what the best economists are up to.
> A major fraction of recent Nobel prizes in economics have been
> awarded for studies of how that idea fails.  (Though one may
> well deplore the inversion of blame implicit in referring to
> discrepancies as "market failure".)
> 
> But John Hessler has not theorized without data.  He analyzed a
> lot of data and apparently found that a particular model
> fits the data quite well.  It may be arcane, but it's not
> ungrounded.  Should you wonder about the origins of geographic
> quirks in maps, his statistical characterization of those quirks
> could help in judging various explanations.
> 
> Doug McIlroy
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