glyph 0: Aristotle, philosophy mathematics foundations, George Boole . Boolean symbolic logic . electronics, electrical engineering ... wisdom ignorance fool quest exploration, G. Spencer Brown, laws form, Bertrand Russell ... 0 & 1 ... epistemology, standing on nothing to reach something ...
"In this book, G. Spencer Brown has succeeded in doing what, in mathematics, is very rare indeed, he has revealed a new calculus, of great power and simplicity ..." -Bertrand Russell, author, with Alfred North Whitehead, of Principia Mathematica
The following quotation, including the footnote, is taken from Appendix 1 to The Laws of Form.
Discoveries of any great moment in mathematics and other disciplines, once they are discovered, are seen to be extremely simple and obvious, and make everybody, including their discoverer, appear foolish for not having discovered them before. It is all too often forgotten that the ancient symbol for the prenascence of the world* is a fool, and that foolishness, being a divine state, is not a condition to be either proud or ashamed of.
Unfortunately, we find systems of education today which have departed so far from the plain truth, that they now teach us to be proud of what we know and ashamed of ignorance. This is doubly corrupt. It is corrupt not only because pride is in itself a mortal sin, but also because to teach pride in knowledge is to put up an effective barrier against any advance upon what is already known, since it makes one ashamed to look beyond the bonds imposed by one's ignorance.
To any person prepared to enter with respect into the realm of his great and universal ignorance, the secrets of being will eventually unfold, and they will do so in measure according to his freedom from natural and indoctrinated shame in his respect of their revelation.
In the face of the strong, and indeed violent, social pressures against it, few people have been prepared to take this simple and satisfying course towards sanity. And in a society where a prominent psychiatrist can advertise that given the chance, he would have treated Newton to electric shock therapy, who can blame any person for being afraid to do so?
To arrive at the simplest truth, as Newton knew and practiced, requires years of contemplation. Not activity. Not reasoning. Not calculating. Not busy behaviour of any kind. Not reading. Not talking. Not making an effort. Not thinking. Simply bearing in mind what it is one needs to know. And yet those with the courage to tread this path to real discovery are not only offered practically no guidance on how to do so, they are actively discouraged and have to set about it in secret, pretending meanwhile to be diligently engaged in the frantic diversions and to conform with the deadening personal opinions which are being continually thrust upon them.
In these circumstances, the discoveries that any person is able to undertake represent the places where, in the face of induced psychosis, he has by his own faltering and unaided efforts, returned to sanity. Painfully, and even dangerously, maybe. But nonetheless returned, however furtively.
* wer = man, ald = age, old. The world may be taken to be the manifest properties of the all, its identity with the age of man being evident through the fact that man is a primary animal with a hand ('manifest' coming from manus = hand, festus = struck). Thus the world is considerably less than the all, which includes the unmanifest, but considerably greater than 'the' universe (more correctly than any universe), which is merely the formal appearance of one of the possible manifestations which make up the world
"Laws of Form - An Exploration in Mathematics and Foundations," by Louis H. Kauffman, a "rough draft"
entered before July 9, 2006