Summary: "Step-function" is defined. An analytic formula given for one. If a function in a
substitution is a step function of the variables, the corresponding variable in the
solved equations is a step-function of the time. The effect in a field of a step-function
is discussed, The essential conditions for a break are a cloud of dots, each of which
has a number associated with it saying "change one of the step-functions to this new value" and not a surface as suggested on 898.
Summary: Later we shall have to show how we can break down the minute rigidity of our dynamic
systems, where the minutest change has to be put in and may lead to something profoundly
different. Suggested way of doing it. Break surface no free edge Critical surface has no free edge
Summary: A layer of break surfaces keeps within bounds not only the variables concerned, but
any other variable which is a direct function of them. Variable central, protection of
Summary: n breaks provide 2n organisations. To give 10 different organisations every second throughout a man's
life we need only 35 breaks! Break surface causes fresh start Learning upsets everything Reactions new upsets old
Summary: Does the acquisition of a new reaction upset all the older one's as demanded by my
theory? The answer seems to be "yes" but it may in some cases be of zero extent. Reflex, conditioned and break-theory
Summary: A field can be explored easily, but break-surfaces are destroyed by their discovery.
This may involve curious philosophical properties. Break surface exploring Organisation exploring organisation
Summary: It has been shown that a representative point, staying within a region bounded by
a layer of break-surfaces, can act as a "variable" in a substitution composed of n such points provided the representative points move with a velocity of a higher "order"
than that of the substitution. "Order" is defined and explained. The ordinary substitution
can be considered as the limit of this type. Break surface controlling substitution