Ebook Laws of Form, by G. Spencer-Brown
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Laws of Form, by G. Spencer-Brown
Ebook Laws of Form, by G. Spencer-Brown
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A mathematical book which has inspired explorations in philosophy, cybernetics, art, spirituality, and computation. The work is powerful and has established a passionate following as well as harsh critics.
- Sales Rank: #280242 in Books
- Brand: Brand: E. P. Dutton
- Published on: 1979-03-22
- Released on: 1979-03-01
- Original language: English
- Number of items: 1
- Dimensions: 5.00" h x 1.00" w x 7.00" l,
- Binding: Paperback
- 141 pages
- Used Book in Good Condition
Most helpful customer reviews
48 of 51 people found the following review helpful.
An outstanding intro to logic without Quantifiers
By A Customer
This book is indeed not much more than a very elegant re-exposition of Boolean algebra and the propositional calculus.
Furthermore, the essence of Brown's mathematical innovations were discovered by C S Peirce as early as 1885 (but published only after LoF was published). Nevertheless, LoF is no mean feat.
It radically simplifies sentential logic, switching circuit calculations, syllogisms. I use this book to solve logic problems arising in the computer programs I write.
Outside of electrical engineering, only a few mathematicians and logicians work with logic and Boolean algebra, which should be as commonly known as calculus and linear algebra.
I purchased this book in 1974, and have read many times since. EMail me at econ159@it.canterbury.ac.nz if you want a copy of my academic paper explaining the value of Spencer Brown's achievement.
26 of 33 people found the following review helpful.
E=MC^2
By A Customer
Spencer-Brown's articulation of the Laws of Form is of the same order of magnitude as Einstein's Theory of Relativity.
I have been reading and re-reading this book for more than 20 years. In full, at least 8 times. Countless "hits" to review specific ideas.
Reviewers here who have panned LOF might be right in thinking that my appreciation for this work is based on what I have read into it, not what it contains intrinsically.
On my first reading, I was perplexed and somewhat disappointed ("That's it?") But I felt that it deserved a second, more deliberate reading. I'm not a mathematician, but my fourth reading was assisted by conversations with a professional scholar of logic systems. And by my fourth reading I was better prepared to appreciate the subtlety and power of LOF.
The concepts regarding time as a function of memory (instead of the reverse) still awe me.
If I could only take three books with me (to Mars, to the future, to the past), LOF would be the *first* that I grabbed.
"The universe is constructed in such a manner that it can see itself." - GSB / LOF
31 of 36 people found the following review helpful.
a work of genius by a now self proclaimed Tathagata
By Harvey B. Vedder
attempts to define a seemingly simple word: difference. In a pre-chaotic sea of jello where all worlds are possible, the emergent world that does follow is determined by the first distinction. Brown attempts to trace this initial severance and chart its after development. Eschewing the Aristotlean "A is not non-A" in favor of the more useful definition of distinction as "perfect continence," Brown goes on to enunciate two axioms 1) the value of a call made again is the value of the call, and 2) the value of a crossing made again is not the value of the crossing. From these, the book flows. Backwards it flows to pre-kindergarten conceptions of number, order, and eventually difference itself. On the way he solves the self-referential paradox by positing the existence of four distinct classes: true, false, meaningless and imaginary. The last of these has recently produced breakthroughs in software logic applied to virtual reality paradoxes. George Boole would have peed his pants over the motherlode of this book that finally offers the arithmetic of the algebra that still bears Boole's name. An incisive appendix "the Calculus applied to logic" renders university texts on sentential logic redundant. A similar achievement renders Bertrand Russell's theory of types (along with a chunk of Principia Mathematica) into a cocked hat...as Russell himself acknowledged in 1967. The idea paintakingly iterated in Laws of Form led to a significant patent for a device that counts entirely by logic, with switches only, and with no artificial time delays, an enormous energy gain in iteration-fraught engineering disciplines. (For validation of this, see Colin Johnson's website on analog computing). Dry wit and a delightsome British humor spice the endnotes, numerous appendices, and prescient forewords.
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