A Solar Eclipse

August 21, 2017

Further Reading:





Four Philosophies, V2

August 9, 2017

Thinking some more on Popper’s Three Worlds, here is a set of philosophical disciplines that seem to resonate with the themes of this blog.

  • Phenomenology: the philosophical study or theory of phenomena as distinct from that of the nature of being
  • Epistemology: the theory of knowledge, especially with regard to its methods, validity, and scope
  • Ontology: the branch of metaphysics dealing with the nature of being
  • Axiology: the philosophical study of the nature of value and valuation, and of the kinds of things that are valuable

I believe that one could also make a case for associations with phenomenology to the subjective, epistemology to the objective, ontology to the substantive, and axiology to the normative.

Further reading:



(Note that the author of the article above, David Snowden, is the creator of the Cynefin Framework.)














A Digital Universe, V2

August 9, 2017

A digital universe – whether 5 kilobytes or the entire Internet – consists of two species of bits: differences in space, and differences in time. Digital computers translate between these two forms of information – structure and sequence – according to definite rules. Bits that are embodied as structure (varying in space, invariant across time) we perceive as memory, and bits that are embodied as sequence (varying in time, invariant across space) we perceive as code. Gates are the intersections where bits span both worlds at the moments of transition from one instant to the next.

— George Dyson, from Turing’s Cathedral

Further Reading:

George Dyson / Turing’s Cathedral: the origins of the digital universe


Embodied as Structure, Perceived as Memory

Invariant across Time: ¬ΔT
Varying in Space: ΔS

Embodied as Sequence, Perceived as Code

Varying in Time: ΔT
Invariant across Space: ¬ΔS


[*7.82, *7.83, *7.153, *10.14]


The Prisoner’s Dilemma

August 3, 2017

A simple example from game theory shows how two rational individuals might not chose to cooperate if the result for not doing so might be in their favor.

Two prisoners are asked for more information about their common crime. They can each remain silent and thus collude with each other. Or they can confess their participation and thereby incriminate the other prisoner.

Unfortunately there is already enough evidence against them for a sentence, so if they both remain silent they will still serve some time (say 1 year each). However if they both confess they will both serve more time (say 2 years each). And if one confesses but the other remains silent the confessor will serve no time but the betrayed one will serve an even longer sentence (say 3 years)!

The thing to notice is that each prisoner will serve less time if they defect and betray the other prisoner than if they cooperate with them. You might even think the sentences are calculated to promote betrayal!

Further Reading:



William Poundstone / Prisoner’s Dilemma: John Von Neumann, game theory, and the Puzzle of the bomb

Note passage from SEP:

The new story suggests that the Prisoner’s Dilemma also occupies a place at the heart of our economic system. It would seem that any market designed to facilitate mutually beneficial exchanges will need to overcome the dilemma or avoid it.



A Study in Synthesis

July 13, 2017

An early work (1934) in the study of fourfolds is James H. Cousins’ “A Study in Synthesis”, which is available for downloading at the link below.

Cousins’ key fourfold is

  • Intuition
  • Cognition
  • Emotion
  • Action

which is similar to Jung’s psychological types except Action replaces Sensation.

Each fourth also has two movements as follows:

  • Intuition: Illumination / Inspiration
  • Cognition: Contemplation / Observation
  • Emotion: Aspiration / Creation
  • Action: Organization / Execution

Cousins was an influence to Patrick Geddes, renowned as a town planner, who had several fourfolds of his own.

Further Reading:

James H. Cousins / A Study in Synthesis








Human Stupidity

July 9, 2017

I’ve crossed enough paths to know that one in four people are rock stupid.

— Shadow Moon, from television’s American Gods

Here’s a rather pessimistic take on humankind.

An economist at UC Berkeley sorted people into four groups based upon their proclivities for gain or loss, for themselves and for others. This leads to four groups:

  • Intelligent: Gain for themselves and gain for others
  • Bandits: Gain for themselves and loss for others
  • Helpless: Loss for themselves and gain for others
  • Stupid: Loss for themselves and loss for others

In fact, Professor Cipolla thought the greatest threat to humanity was stupidity, and developed five laws for the foolish.

At first, I considered gain and loss in purely economic terms, but then realized gain and loss should also include the creation and improvement of information and knowledge.

Further Reading:

The five universal laws of human stupidity




Popper’s Three Worlds Made Four

July 5, 2017

Philosopher Sir Karl Popper divided the ontology of all that is into three parts:

World 1: The physical world, the world of physical objects and events, including biological entities.

World 2: Subjective reality, the world of mental objects and events, that occur in (individual) minds.

World 3: Objective knowledge, the world of all products of thought, that may be physical or not.

Instead of physical or mental monism, or the dualism of mind and matter, Popper suggested a pluralism (triplism?) consisting of three worlds. All the elements of each of these worlds, Popper argued, can be said to exist.

One could say that each higher world requires the world below it in order to exist: World 1 < World 2 < World 3. That is, World 2 is emergent or supervenient on World 1, and World 3 is emergent or supervenient on World 2. In addition, these worlds interact with each other.

There is no necessary evaluation of the “truth” of the elements of World 3. There are many products of thought that exist in World 3 that are indeed false. But Popper spends much time talking about the quality of World 3 objects that give credence to their existence. That is, the “objective” goodness or quality of a product makes that product more real.

I suggest that the introduction of another world is necessary for a proper division and understanding of Popper’s Three Worlds. Let’s call it

World 4: Normative values, the world of all intersubjective evaluations.

Indeed, Popper argues that the objective value of certain objects in World 3 gives credibility to the notion that there are such World 3 objects, and not just World 2 instances within minds.

World 4 could serve as a mediator between World 2 and World 3. Popper states that people can evaluate the World 3 products of the mind within their own subjectivities, but it seems to me that they must be trained or lead to appreciate the “objective” greatness of these products. They do not happen in a vacuum, so perhaps a better description would be that they have an “intersubjective” value.

Why would a person discount the well accepted scientific theories of evolution or climate change just because they don’t fit with his other beliefs?

Why would a person destroy ancient sculptures of timeless beauty just because it offends his religious beliefs?

Such cognitive biases could easily block a person from accepting some objective knowledge that conflicts with their values. Certainly the biases exist in the subjective mind, but are learned and maintained in the intersubjective cultural milieu.

A takeaway fourfold for you is presented on the right.

  • Substantive
  • Subjective
  • Objective
  • Normative

Further Reading:

Karl Popper / Three Worlds. The Tanner Lecture on Human Values, delivered at the University of Michigan, 1978




Sean Carrol / The Big Picture: On the Origins of Life, Meaning, and the Universe Itself

Manfred Eigen, Ruthild Winkler / Laws of the Game: how the principles of nature govern chance

[*8.134, *10.6]


Edward T. Hall’s Map of Time

May 14, 2017

Quite by accident, I ran across anthropologist Edward T. Hall’s Map of Time in his book “The Dance of Life: the other dimension of time”. In it, he shows a mandala of different notions of time which tries to answer the question, “what is time”? The mandala consists of eight (or nine) different notions of time, organized as a fourfold of duals:

  • Physical / Metaphysical
  • Micro / Sync
  • Biological / Personal
  • Profane/ Sacred

In addition, there are four duals of attributes:

  • Group / Individual
  • Cultural / Physical
  • Conscious/ Unconscious
  • Low Context / High Context

So that the different times have these attributes:

  • Physical: Low Context, Conscious, Physical, Group
  • Metaphysical: Low Context, Conscious, Cultural, Group
  • Micro: High Context, Unconscious, Cultural, Individual
  • Sync: High Context, Unconscious, Physical, Individual
  • Biological: Low Context, Unconscious, Physical, Group
  • Personal: Low Context, Unconscious, Physical, Individual
  • Profane: High Context, Conscious, Cultural, Individual
  • Sacred: High Context, Conscious, Cultural, Group

And the different attributes belong to these notions of time:

  • Physical: Physical, Biological, Personal, Sync
  • Cultural: Metaphysical, Sacred, Profane, Micro
  • Group: Biological, Physical, Metaphysical, Sacred
  • Individual: Profane, Micro, Sync, Personal
  • Conscious: Physical, Metaphysical, Sacred, Profane
  • Unconscious: Micro, Sync, Personal, Biological
  • Low Context: Personal, Biological, Physical, Metaphysical
  • High Context: Sacred, Profane, Micro, Sync

The ninth notion of time is a synthesis of all eight which he calls meta-time.

Further Reading:






The Eight Worldly Winds

March 28, 2017

This fourfold of duals from Buddhism lists the hopes and fears that bind us to the world and our culture. They are known as the eight worldly winds, concerns, or dharmas. Both hopes and fears, wanting and not wanting, can be seen as negative.

  • Hope for Pleasure and Fear of Pain
  • Hope for Gain and Fear of Loss
  • Hope for Praise and Fear of Blame
  • Hope for Prestige and Fear of Disgrace

Further Reading:








The Eight Trigrams of the Bagua

March 26, 2017

What can be said of the Eight Trigrams of Taoist cosmology, also known as the Bagua, that hasn’t already been said on ten thousand other web sites? Here I show the trigrams and their duals together in an arrangement that places one or two of them at a site of the four elements.

When considering the binary values of the trigrams, this arrangement is reminiscent of my Marriage of Opposites, Part 2. In doing this each link between them represents a common value for a trigram line. For example between Heaven / Earth and Water / Fire the 2nd line is yang for both Heaven and Water, and the 2nd line is yin for both Earth and Fire. Opposite this link is its reverse: the 2nd line is yin for both Thunder and Mountain, and yang for both Wind and Lake. All six links have this quality.

Two smaller diagrams show the common English names as well as the corresponding attributes of the trigrams. Interestingly, if Heaven and Wind are considered Air, Lake is considered Water, Mountain is considered Earth, and Thunder is considered Fire, then you have each element mentioned twice, once above and once below, and a crossed loop of pairs: Air / Earth, Fire / Air, Water / Fire, Earth / Water, and then back to Air / Earth. Nice!

Further Reading:






[*9.234, *9.235]