|To:||"[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>|
|From:||Pat Hayes <phayes@xxxxxxx>|
|Date:||Mon, 11 Feb 2008 10:45:48 -0600|
At 6:49 PM +0800 2/11/08, Rob Freeman wrote:
On Feb 11, 2008 1:05 PM, John F. Sowa <sowa@xxxxxxxxxxx> wrote:
The reals are simply a way to quantify continuous variations which admit of arbitrarily small changes, and functions on them which can be differentiated, so it is meaningful to speak of rates of change. The basic "_what_" is probably continuity and differentiability. These fields all study phenomena which arise only in such continuous/differentiable domains.
BTW I can't find where Blum mentions AI. On my quick read he seemed to
where he related it to AI.
If it is relevant to computation in any fundamental way then it is probably relevant to AI, since AI is entirely concerned with computations.
Any references for the possible relevance of all this (catastrophe
You should, as you will get very different perspectives on the topics. AFAIK, there is no such thing as a discrete catastrophe theory, for example. But more fundamentally, your list is a list of *theories*, so of course it matters how they are phrased.
Why are they separately being related to AI?
But in all these cases, such a community does exist, and indeed has co-opted the English word (chaos, catastrophe, continuous, random, compute) to its own purposes, or invented an entirely new word (hologram) with a precise meaning. In either case, to ignore such usage in a technical forum such as this, and especially when referring to the technical usage itself, is almost certain to cause misunderstanding.
In particular we are talking here about a number of fields which are
learnable structure is contradictory. Another that demonstrable
are not yet formally aware.
In this context, 'formal' refers to word usage. The intuitions and concepts underlying these various theories are not 'formal', however. If there are underlying patterns uniting such various topics, they will be found by understanding these intuitions and relating them, not by making vague analogies based on word usage. You use words in the above so casually that you do not even state the ideas properly. For example, Kolmogoroff theory does not say that 'the most compact structure is random'. It refers to having the most information in a very precise sense. In fact, AFAIK, none of these theories refer to 'structure' as though it was something that can be measured. I have no idea where you derive such statements as "learnable structure is contradictory" (what does it mean, and which theory suggests it?) or "demonstrable structure is incomplete" (what does that mean, and how do you derive it? What senses of 'demonstrable' and 'incomplete' are you using?) Do you get "structure appears to be probabilistic" from quantum theory? If so, you have this slightly wrong: the 'reality' hypothesized by QT is actually an action field which yields a probability when squared. So it is the square root of a probability. Good luck getting your head around that one (I can't!)
BTW, technical usage should not be described as 'narrow'. Technical usage tends to be 'wide' in the sense that it conveys a lot more information than casual usage, which is great for chatting but not so good for doing science or engineering with.
they do with yawn gaping regularity.
40 South Alcaniz St.
_________________________________________________________________ Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/ Subscribe/Config: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/ Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx Shared Files: http://ontolog.cim3.net/file/ Community Wiki: http://ontolog.cim3.net/wiki/ To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx (01)
|<Prev in Thread]||Current Thread||[Next in Thread>|
|Previous by Date:||[ontolog-forum] updating the dewey index, paola . dimaio|
|Next by Date:||Re: [ontolog-forum] What words mean, John F. Sowa|
|Previous by Thread:||Re: [ontolog-forum] What words mean, Rob Freeman|
|Next by Thread:||Re: [ontolog-forum] What words mean, John F. Sowa|
|Indexes:||[Date] [Thread] [Top] [All Lists]|