Gleichswebend or
"poised attention"Margaret Koehler, http://spacecollective.org/richard/685/Free-Floating-AttentionFree Floating Attention
...Compare
Newton,
Leibniz, and Cardan: “When we read about the behaviour of
Newton we notice some features that unmistakenly point to
something
like schizophrenia ― a kind of "perpetual distraction"
where he seemed lost to the world at large for hours, sitting
in his
bed the whole day forgetting to dress and to eat. He himself
tells us
that he solved the problem by fixing in his mind until a
little crack
of light broke through and until the whole problem was seen in
full
light ... In the case of Cardan we find the same schizophrenic
symptoms, accompanied by communications with demons and
spirits
telling him the secrets into which he desired to penetrate. At
all
the points of transition in the evolution of mathematics I
believe
that we should find such symptoms ... Leibniz ... In the As
Jurij Moskvitin describes it, "The principle of the
calculus is
a synthesis of several of the other fundamental
discoveries... The
fundamental concept of the limiting position of a tangent
is only
geometrical, and in the translation of the "limit" concept
into terms of logic where the lower dimensions are
discarded we have
a clear example of what I have called intrusion into the
logical
space of R-o [...a certain ground-level, coinciding with,
or having a
frontier common with, the space described by the axioms of
Aristotelian logic...]. What made the calculus so
difficult to
understand for the contemporaries of Leibnitz and Newton,
and what
still makes it difficult for some children capable of
thought and
preferring to think instead of imitating, is the violation
of all the
fundamental algebraical rules which they have just
bothered to pick
up... The logic is visual and not deductive. After the
discovery had
been introduced, the next centuries were busy
systematizing it and
finding and defining all its fields of application... All
these
examples represent the general development from a vision
to an ever
more formalized form, and in most of the cases the steps
may be
followed minutely... When such an intrusion has taken
place the
various devices may be treated in terms of mechanical and
causal
logic. Thoughts which would otherwise have been
inaccessible to the
average mind now become the property of this mind... Also
for various
reasons it is the final form of the discoveries that
remains and
which is accessible to the average mind, which of course
obscures the
source... In the case of Leibniz we know from his own
texts how often
he describes the solution of long theological arguments –
for
instance the transcendent problem of the existence of God
–
as
an infinite line or an infinite series of causes, the
solution being
the angle of the line on infinity –
the
series differentiated. Again we find that the solution of
the problem
is the visualization of the whole thought-sequence.
Leibniz's
Monadology is built on the idea that thoughts become
clearer
according to the degree and the intensity of the
introspective
process" (Jurij Moskvitin , |