I agree - in my efforts to communicate with others I try to stick to
plain language. While Georges has a formidable grasp of terminology,
the reality is that most people use terms rather loosely, while
meanings also change over time and between different groups there are
different jargons and terminology in use. Yet, while it make take a
few efforts to get some mutual understanding, the trial and error
effort of using a number of different ways to describe things usually
works better than a disciplinary approach of correcting everyone into
sticking to a single dictionary.

In the old days, people read books and knowledge was passed on through
books. That culture kind of went hand in hand with a dictionary style
of education. Nowadays, however, kids grow up learning to talk in
SMS-abbreviations and Youtube-messages.

I don't bother too much trying to find the "exact" terms and
definitions that everyone supposedly agreed to, because they don't and
won't. Instead, I try and say thing in a number of different ways, if
I think there's confusion. By and large, that works and it's possible
to communicate with most people in that way, although it remains most
difficult to talk to people who stick to dogma, which is another term
we shouldn't introduce here.

One virtue of my approach is that it can take epistemology out of this
elite, Ivory Tower, literacy-oriented closed little group of "experts"
who focus on defining things, without actually saying anything and
without having anything to say. Instead, I like to take epistemology
out of the universities and open it up to the big world.

Cheers!
Sam Carana



On Wed, Sep 10, 2008 at 12:37 PM, archytas <[EMAIL PROTECTED]> wrote:
>
> It is fairly common for pure maths to change from ideas generated in
> practical physics.  Georges' scheme lays out such possibilities
> without direct reference to examples.  The use of Yang-Mills-type
> theories (maths explanations of interactions between sub-atomic
> particles) in developing unexpected properties in 4-dimensional
> manifolds (Simon Donaldson) that had defied resolution for decades is
> an example.  No one is giving up scientific method to get to such
> intuitions and no one I know gives up on the underlying thought that
> the axioms in use may not, at some point, turn out not to be
> axiomatic.
> Of course, there is a wider 'dictionary' of terms in use we can access
> to try and understand what people are on about, and the possibility of
> radical translation that is courteous towards human beliefs without
> giving up on reason (another Donaldson).  Not everyone is much good at
> expressing what is axiomatic to them.
>
> On 9 Sep, 04:35, "Sam Carana" <[EMAIL PROTECTED]> wrote:
>> Nice post, Georges.
>> Personally, I like to avoid the term 'axiom' for the simple reason
>> that so many people do not seem able/willing to understand/stick to
>> the meaning of the word to start with.
>>
>> 4. Axiom of Sam Carana
>> Given the nature of human beings,
>> it's impossible for them to draw a line that even briefly remains in
>> parallel with another line.
>>
>> Feel free to add my addition to your site, Georges.
>>
>> Cheers!
>> Sam Carana
>>
>> On Mon, Sep 8, 2008 at 11:07 PM, Georges Metanomski <[EMAIL PROTECTED]> 
>> wrote:
>>
>> > --- On Mon, 9/8/08, ornamentalmind <[EMAIL PROTECTED]> wrote:
>>
>> >> Perhaps 'facts' = axioms???
>> > =============
>> > Or, perhaps not.
>>
>> > Again pops up the axiom-drivel which we have clarified
>> > at least 12 times.
>>
>> > Let's go for the 13'th.
>> > I give you a sporting 1 to 100 that your post will trigger
>> > parrots quoting idiotic dictionaries defining Axiom as a
>> > truth (whatever it may mean) assumed to be self-evident.
>>
>> > Follows the 13th repetition of the clarifying message:
>>
>> > Here is the second most discussed axiom in history
>> > after the Euclidean of Parallels:
>>
>> > <If t is a disjointed set which does not contain
>> > the null-set, the Cartesian product Pt is
>> > different from the null-set.>
>>
>> > Self-evident like goddam hell.
>>
>> > Here come other 3 self-evidences:
>>
>> > 1.Axiom of Euclides:
>> > <Given a line and a point not on the line, it is
>> > possible to draw through the point exactly one line
>> > parallel to the line>
>>
>> > 2.Axiom of Riemann:
>> > <Given a line and a point not on the line, it is
>> > impossible to draw through the point any line
>> > parallel to the line>
>>
>> > 3.Axiom of Lobaczevski:
>> > <Given a line and a point not on the line, it is
>> > possible to draw through the point any number
>> > greater than 1 of lines parallel to the line>
>>
>> > One wonders which of the above self-evidences is
>> > self-evidenter than the others and how can
>> > self-evidences contradict one another.
>>
>> > Leaving the drivel we pass to the definition of Axiom
>> > such as it appears in contemporary scientific Models,
>> > which are ALL axiomatic:
>>
>> > Since rational science is born, scientific theories
>> > have the structure of inferencing networks.
>>
>> > Middle nodes or "Theorems" are deduced from upper
>> > neighbors (premises) and induced from lower nodes
>> > (conclusions).
>>
>> > Top nodes or "Axioms" having no premises cannot be
>> > deduced, thus are set arbitrarily by intuition and
>> > taken as granted as long as they are not inductively
>> > refuted by their conclusions.
>>
>> > Bottom nodes or "Facts" having no conclusions cannot
>> > be induced and their logical value (certainty) is
>> > set empirically.
>>
>> > All rational theories are by definition falsifiable,
>> > i.e. structured in a way to support bottom-up
>> > induction from Facts via Theorems to Axioms, which may
>> > eventually refute Axioms and thus the theory.
>>
>> > Georges

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