Man or Matter: Introduction to a Spiritual Understanding of Nature on the Basis of Goethe's Method of Training Observation and ThoughtLehrs, Ernst
Religion
Man or Matter: Introduction to a Spiritual Understanding of Nature on the Basis of Goethe's Method of Training Observation and Thought
Lehrs, Ernst
Anthroposophy; Cosmology; Goethe, Johann Wolfgang von, 1749-1832
Let it be repeated here that what we have found in this way does not
lead to any depreciation of the method of pointer-reading. For the
direct findings of the senses cannot be compared quantitatively. The
point is that the idea of the absolute superiority of physical
measurement as a means of scientific knowledge, in all circumstances,
must be abandoned as false.
*
We now turn to Galileo's discovery known as the theorem of the
Parallelogram of Forces. The illusion which has been woven round this
theorem expresses itself in the way it is described as being connected
ideally with another theorem, outwardly similar in character, known as
the theorem of the Parallelogram of Movements (or Velocities), by
stating that the former follows logically from the latter. This
statement is to be found in every textbook on physics at the outset of
the chapter on dynamics (kinetics), where it serves to establish the
right to treat the dynamic occurrences in nature in a purely kinematic
fashion, true to the requirements of the onlooker-consciousness.1
The following description will show that, directly we free ourselves
from the onlooker-limitations of our consciousness in the way shown by
Goethe - and, in respect of the present problem, in particular also by
Reid - the ideal relationship between the two theorems is seen to be
precisely the opposite to the one expressed in the above statement. The
reason why we take pains to show this at the present point of our
discussion is that only through replacing the fallacious conception by
the correct one, do we open the way for forming a concrete concept of
Force and thereby for establishing a truly dynamic conception of
nature.
*
Let us begin by describing briefly the content of the two theorems in
question. In Fig. 1, a diagrammatical representation is given of the
parallelogram of movements. It sets out to show that when a point moves
with a certain velocity in the direction indicated by the arrow a, so
that in a certain time it passes from P to A, and when it
simultaneously moves with a second velocity in the direction indicated
by
b, through which alone it would pass to B in the same time, its actual
movement is indicated by c, the diagonal in the parallelogram formed by
a and b. An example of the way in which this
theorem is practically applied is the well-known case of a rower who
sets out from P in order to cross at right angles a river indicated by
the parallel lines. He has to overcome the velocity a of the water of
the river flowing to the right by steering obliquely left towards B in
order to arrive finally at C.
Public-domain text, read in full here on John Shaqi.
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