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With respect to processes (rather than mathematical relationships), I think
"linear" refers to a kind of sequentiality that might be typified by a
factory assembly line. Iterative or recursive processes are less linear in
this sense. In real life, of course, departures from this kind of linearity
go way beyond iteration and recursion.
On Mon, 26 Sep 2011, Andy Blunden wrote:
I didn't realise that Ohio State University was responsible for all this,
Michael. The meaning of linear that I learnt from applied mathematics is
based on the metaphor of a graph and really means "rectilinear", only
"linear" for short. It means more or less if a little bit of something has
a certain effect then twice as much will have twice the effect, 10 times
as much will have 10 times the effect, etc. "Non-linear" (generally you
mean strongly non-linear) means that at a certain point there is a
qualitative break and the effect is somethgin radically different, OR, the
relation is irreversible so that when you remove the cause, the effect is
not removed (since reversibility is usually a corrollary of linearity).
So I think we are in the same (as you say in the States) ball park.
Andy
PS. There are 10 types of people in the world, those who understand binary
numbers and those who don't.
Michael Glassman wrote:
Hi Andy and Christine
I think when people use the term linear in the social sciences what
they often mean is there is a direct line between an independent
variable and a dependent variable. So a linear explanation might be,
Andy doesn't know what linear means because he didn't go to the Ohio
State psychology program, but if he went to the Ohio State psychology
program he would know exactly what linear means and would applaud it.
Of course that issue is far more complicated than that and involves many
different interactions and transactions you have had over your lifetime.
And even the question is much more subtle and multi-dimensional than
that, but it is of course not linear. This is the problem in this
country for instance with school reform. It is based on a number of
linear propositions. If we have a more controlled curriculum and
teaching students will do better on their standardized tests. If
students do better on standardized tests they will have greater career
choices. If students have better career choices they will be happier.
There is a great metaphor that sort of goes along with this whole linear
thing.
1. Underwear is the most important thing in the world
2. We steal everybody's underwear
3. Something else happens
4. World domination for underpants gnomes!!!!
Linear!
Michael
________________________________
From: xmca-bounces@weber.ucsd.edu on behalf of Andy Blunden
Sent: Sun 9/25/2011 11:03 AM
To: eXtended Mind, Culture, Activity
Subject: Re: [xmca] Space, neighbourhood, dwelling in, in*formation as
notionswith a "family resemblance"
Christine, I am never reallay clear on what people mean when they refer
to an idea being "linear." I was brought up in applied mathematics where
the ideas of linear and non-linear had very specific meanings, but I
don't get what people mean outside of this, other than it referring to
something they don't like.
Andy
christine schweighart wrote:
Andy,
I hear your appreciation in a big break from categorizing as primary.
I just haven't got really clear in learning from my own thinking
experience how relational formation happens in conceptualisation. It's
apparent after its produced itself. I have just jumped in and I'm not
familiar with Ingold but he seems not to be researching by changing
and influencing ,so maybe there's a difference because of ethnographic
method? Stages do seem to be useful as metaphor because in that there
is 'transition', but perhaps 'line' symbolises something that hides
more ( i.e relationally) by removing boundary in it's absolute sense.
Going back to organic formation for inspiration, but also to learn
from 'living', natures form is not 'boundary lines' , which was
something I was exploring thinking about non-causal relations ( after
Maturana). Hence my fairly literal pointing out that 'line' isn't
indexical to organic formations of organisms boundary relations and
structures.
I came to that after trying to recognise formation, and a desire to
make accessible through recogising conceptual relational thinking
consciously forming as a 'tool' in environmental management education
practice, which in acquisition changes a horizon of possibility. ( Yet
accounts of studying this as dual-stimulation , don't appear for me
in 'reverse' in Davydov's instruction guiding formal teaching. I am
attracted to understand/ make practical action guided by principles
informed/ing dual stimulation, but also suspect that we could align
better through learning from organic formation in crafting conceptual
tools . In this on-going living is always in the present, hence the
notion of linear time being a tool of our invention. Maturana's
recursion relies upon it though he also recognises its creation in our
cognition. Here is an example from Maturana:
--To distinguish
something as a system of processes ( circular organisation) it needs
to
encounter another linear domain ( the medium) that displaces it, that
in our perception of both, recognises iterations and produces a new
phenomenon . One example is a wheel turning, which becomes circular
against the linear ground/, where in distance covered the phenomemon
of
movement appears. ---
Dual stimulation as displacement actions in activity doesn't pan out
as cleanly as this non-organic example of a new horizon of possibility
phenomena appearing. So maybe 'linear' is not as helpful as we think
it is.
Ruminations more than gestures for the forum , I suspect. Though I
have a strong feeling over-focus on categorizing does not lend itself
to help developmental movement in thinking skills for project work
affecting the natural environment.
Thanks, Christine. I do take "lines" as potentially a big break in
conceptualisation. I take it in the sense of lines (lines of
development, lines of events, lines of thought, lines of action, blood
lines, ...) as opposed to groups or cateogries or things. So it
actually
functions to do away with boundaries (boundary lines), focus on which
is
almost always a disease.
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------------------------------------------------------------------------
*Andy Blunden*
Joint Editor MCA:
http://www.informaworld.com/smpp/title~db=all~content=g932564744
Home Page: http://home.mira.net/~andy/
Book: http://www.brill.nl/default.aspx?partid=227&pid=34857
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*Andy Blunden*
Joint Editor MCA:
http://www.informaworld.com/smpp/title~db=all~content=g932564744
Home Page: http://home.mira.net/~andy/
Book: http://www.brill.nl/default.aspx?partid=227&pid=34857
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Tony Whitson
UD School of Education
NEWARK DE 19716
twhitson@udel.edu
_______________________________
"those who fail to reread
are obliged to read the same story everywhere"
-- Roland Barthes, S/Z (1970)