Reality, Process, and Mathematics

Reality, Process, and Mathematics

All the qualities of the physical world exist through the interrelations of things to each other. What Moleschott says is correct for physical existence: 'All existence is an existence through qualities. But there is no quality that does not exist through a relation.' Just as everything of a soul nature contains something in itself...

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Form and content – two levels of change

Form and content – two levels of change

Form and Content Understanding change is a very difficult task. No aspect of our world, either experienced outwardly through our senses or inwardly through our feelings and thoughts, seems exempt from the paradoxical rule that the only constant is change. It is possible to examine the way change occurs at many levels. At the “lowest”...

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An Esoteric Guide to Spencer Brown’s Laws of Form #6

An Esoteric Guide to Spencer Brown’s Laws of Form #6

(New readers will want to start with the first installment.) We ended the last installment by discussing the esoteric nature of the injunction.  We continue this exploration, and bring this series to a close. LoF p. 81 In the command "let the crossing be to the state indicated by the token" we at once make the token doubly meaningful, first...

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An Esoteric Guide to Spencer Brown’s Laws of Form #5

An Esoteric Guide to Spencer Brown’s Laws of Form #5

(New readers will want to start with the first installment.) We ended the last installment with a recognition that the Laws of Form naturally led GSB to an understanding of both the necessity and importance of the realm of imaginary numbers.  We will continue this elaboration. You are likely familiar with the paradoxical sentence: "This sentence is...

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An Esoteric Guide to Spencer Brown’s Laws of Form #4

An Esoteric Guide to Spencer Brown’s Laws of Form #4

(New readers will want to start with the first installment.) We ended the last installment having come to realize something of the esoteric significance of the taijitu, or yin-yang, form, in something of an extended tangent. We return now to the text. GSB himself seemed to understand the importance of the Laws of Form, even if there...

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An Esoteric Guide to Spencer Brown’s Laws of Form #1

An Esoteric Guide to Spencer Brown’s Laws of Form #1

(A full PDF of this article can be had here.) George Spencer Brown (in his spirit, I would like to say: "Let George Spencer Brown = GSB"), a logician, engineer, and teacher, wrote a curious little book called Laws of Form, that inspired countless interesting people of widely varying backgrounds.  The book is not a...

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Chaos theory and fractals: 1/4

Chaos theory and fractals: 1/4

The following four questions (one per post) were posed in a recent class. My edited responses follow. 1. So I understand that any shape in nature can be converted to a mathematical formula, right? Then you take that formula and plug in the variable related to that shape and feed the answer into the variable...

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Harmonic Points and Lines: A Projective Geometric Exercise

WARNING: PROJECTIVE GEOMETRY MAY PUT HOLES IN YOUR BRAIN.  YOUR MIND MIGHT LEAK OUT - IF YOU WANT YOUR MIND IN YOUR BRAIN STOP READING NOW. Okay, here is a geometric exercise that I find very interesting (for some context about WHY it is interesting, look here). It is, however, more complicated than the previous one...

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