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Beyond the AlgorithmDr. Dr. Brigitte E.S. JansenThis post was originally published on this site.

 
Beyond the Algorithm 
A series on cybernetics, systems theory, and the question of machine consciousness. Each episode takes one thinker seriously in their own terms, then tests those ideas against the systems being built today. Episodes stand on their own, but they were written in sequence, and the arc rewards listening in order. 
Created by Brigitte E. S. Jansen. Produced by the Gesellschaft für Arbeitsmethodik e.V., a non-profit association founded in 1954 and based in Baden-Baden, Germany. 
Narrated by a synthetic voice. In a series about machine minds, that is part of the argument rather than a production shortcut. 
All episodes and further reading: bta.global-future-association.com
 The association: gfaev.de 
Comments, corrections, and disagreements are welcome. 

 Created by Brigitte E.S. Jansen 
Episode 2: Draw a Distinction – Spencer-Brown and the Logic of Form 
Key Concepts: 
  • Distinction as the fundamental operation
  • The calculus of indications
  • The Law of Calling and the Law of Crossing
  • Re-entry and self-reference
  • The imaginary value and memory
  • Oscillation and recursion
  • Form and void
  • The observer as identical with the mark
  • Consciousness as operation rather than substance
  • Degrees and forms of consciousness
Primary Text:

George Spencer-Brown:
 Laws of Form (1969) – The complete exposition of the calculus of indications and the logic of distinction. Essential reading, though challenging. Worth multiple readings.

Secondary Literature on Spencer-Brown:
Louis H. Kauffman, “Self-Reference and Recursive Forms” (1987) – Mathematical exploration of Spencer-Brown’s re-entry concept.
  • Ranulph Glanville, “Distinguishing Between Form and Structure” (1988) – On the implications for cybernetics and observation.
  • Dirk Baecker, “Why Systems?” (2001) – Connecting Spencer-Brown to Luhmann’s systems theory.
  • William Bricken, “An Introduction to Boundary Logic with the Losp Deductive Engine” (1991) – Computational applications of Laws of Form.
Related Works:

On Paradox and Self-Reference:
 

  • Douglas Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid (1979) – Explores strange loops and self-reference across mathematics, art, and music.
  • Raymond Smullyan, “What Is the Name of This Book?” (1978) – Accessible introduction to logical paradoxes and self-reference.
On Observation and Distinction:
 
  • Heinz von Foerster, “Objects: Tokens for (Eigen-)Behaviors” (1976) – In Observing Systems – On how observers construct objects through distinction.
  • Niklas Luhmann, “The Cognitive Program of Constructivism and the Reality That Remains Unknown” (1990) – On observation as distinction in social systems.
  • Francisco Varela, “A Calculus for Self-Reference” (1975) – Biological applications of Spencer-Brown’s logic.
On Logic and Consciousness:
 
  • Gotthard Günther, “Life as Poly-Contexturality” (1973) – Extends Spencer-Brown’s logic to multiple contexts and subjects.

 More from the Gesellschaft für Arbeitsmethodik 
The association and its other programmes: gfaev.de 
Our other podcast series, all in German: 
GfA – Der Podcast · The same questions pursued in German, currently the series “Das Bewusstsein der Maschinen”: gfa-ev.com 
GfA Kulturwelten · Art, music and cultural history, including a series on the history of Tango Argentino: kulturwelten.gfaev-online.com 
Gut zu Wissen: KI & SEO Insights · Artificial intelligence, search and structured data, for people who have to make it work in practice: gfaev.eu 
GfA History · Recorded lectures from the association: gfa-web.de 
If something here was wrong, or right in a way we did not expect, write to us. Corrections and objections find their way into later episodes.