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
To find an interpretation of the formula F=ma, which is free from
illusion, we must turn our attention first of all to the concepts
'force' and 'mass' themselves. The fact that men have these two words
in their languages shows that the concepts expressed by them must be
based on some experience that has been man's long before he was capable
of any scientific reflexion. Let us ask what kind of experience this is
and by what part of his being he gathers it.
The answer is, as simple self-observation will show, that we know of
the existence of force through the fact that we ourselves must exert it
in order to move our own body. Thus it is the resistance of our body
against any alteration of its state of motion, as a result of its being
composed of inert matter, which gives us the experience of force both
as a possession of our own and as a property of the outer world. All
other references to force, in places where it cannot be immediately
experienced, arise by way of analogy based on the similarity of the
content of our observation to that which springs from the exertion of
force in our own bodies.
As we see, in this experience of force that of mass is at once implied.
Still, we can strengthen the latter by experimenting with some outer
physical object. Take a fairly heavy object in your hand, stretch out
your arm lightly and move it slowly up and down, watching intently the
sensation this operation rouses in you.2 Evidently the experience of
mass outside ourselves, as with that of our own body, comes to us
through the experience of the force which we ourselves must exert in
order to overcome some resisting force occasioned by the mass. Already
this simple observation - as such made by means of the sense of
movement and therefore outside the frontiers of the
onlooker-consciousness - tells us that mass is nothing but a particular
manifestation of force.
Seen in the light of this experience, the equation F=ma requires to be
interpreted in a manner quite different from that to which scientific
logic has submitted it. For if we have to ascribe to F and m the same
quality, then the rule of multiplication allows us to ascribe to a
nothing but the character of a pure number. This implies that there is
no such thing as acceleration as a self-contained entity, merely
attached to mass in an external way.
What we designate as acceleration, and measure as such, is nothing else
than a numerical factor comparing two different conditions of force
within the physical-material world.
Only when we give the three factors in our equation this meaning, does
it express some concrete outer reality. At the same time it forbids the
use of this equation for a logical derivation of the parallelogram of
forces from that of pure velocities.
*
Public-domain text, read in full here on John Shaqi.
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