George Spencer Brown

Mathematician, consulting engineer, psychologist, educational consultant and practitioner, consulting psychotherapist, author, and poet.

[George Spencer Brown @LawsofForm]

"Let a barb in the sign indicate the direction of the change."

[George Spencer Brown @LawsofForm]

"Call any such change a step.
Let a sign
⇀
stand for the words
is changed to."

[George Spencer Brown @LawsofForm]

"In any expression, let any arrangement be changed for an equivalent arrangement."

[George Spencer Brown @LawsofForm]

"In general, let injunctions be contracted to any degree in
which they can still be followed".

[George Spencer Brown @LawsofForm]

1 Take any cross c.

[George Spencer Brown @LawsofForm]

"… be contracted to the one injunction (of mixed intent) below."

[George Spencer Brown @LawsofForm]

"Let the four injunctions (two of constructive intent, two of conventional intent) above…"

[George Spencer Brown @LawsofForm]

Second canon. Contraction of reference

1. Construct a cross.
2. Mark it with c.
3. Let c be its name.
4. Let the name indicate the cross.

[George Spencer Brown @LawsofForm]

3 – THE CONCEPTION OF CALCULATION

[George Spencer Brown @LawsofForm]

"Call the space s pervading an arrangement a, whether or not a is the only arrangement pervaded by s, the pervasive space of a."

[George Spencer Brown @LawsofForm]

"Pervasive space. Let any given space s(n) be said to pervade any arrangement in which s(n) is the shallowest space."

[George Spencer Brown @LawsofForm]

"Call the crosses standing under any cross c, written or
unwritten, the crosses pervaded by the shallowest space in c."

[George Spencer Brown @LawsofForm]

"Unwritten cross. Suppose any s(0) to be surrounded by an unwritten cross."

[George Spencer Brown @LawsofForm]

"Let any cross standing in the shallowest space in c be said
to stand under, or to be covered by, c."

[George Spencer Brown @LawsofForm]

"Let any cross standing in any space in a cross c be said to be
contained in c."

[George Spencer Brown @LawsofForm]

"Thus s(0) = s."

[George Spencer Brown @LawsofForm]

"Call the space reached by no crossing from s the shallowest space in a."

[George Spencer Brown @LawsofForm]

"Call a space reached by the greatest number of inwards crossings from S a deepest space in a."

[George Spencer Brown @LawsofForm]

… call the number n of crosses that must be crossed to reach a space s(n) from s the depth of s(n) with regard to s."

[George Spencer Brown @LawsofForm]

Depth. "In an arrangement a standing in a space s, …