# A Game of Fourfolds, Part 5

In this fifth installment of our ongoing series, I propose that a game could be played by making a set of equally sized and shaped triangular tiles with simple words or phrases on them. The triangles are all isosceles right triangles, also called monoboloes, so that two of them joined along their long edge would be a square, and four of them joined at their right angles would be a larger square. Figures of two tiles joined along any edge of equal length are called diaboloes, three are called triaboloes, four are called tetraboloes, and in general the figures are called polyboloes (or also polytans, after the Chinese tangram puzzle).

The words or short phrases on the monoboloes would need to be chosen judiciously so that each word has a matching opposite. (A list of such pairs of opposites or duals can be found at my previous fourfold game post.) This is so that a square diabolo could be formed from opposites, and a square tetrabolo could be formed that makes some conceptual sense. In fact, the game play would require that tiles should only be played and joined if there was a rational or explainable reason for their combination.

For example, “Water” and “Fire” could be aligned along their long edge as well as a short edge, whereas “Earth” and “Below”, not being opposites, could only be aligned along a short edge. Opposites could also be aligned “corner” to “corner” (where corner is the 90 degree angle), if there is a supporting tile between them.

During game play, the players alternate playing tiles from their hand onto the table, or pick tiles up from the table and place them back in different positions. Obviously the rules of play would need to be specified in more detail, as well as a method for scoring so that a player could “win”. Or, as a game of solitaire, perhaps winning is just maximizing the number of tiles played onto the table, or the illumination of concepts brought about by the play.

I might also consider that the flip-side of a monobolo is the same word but perhaps having white letters on a black background or colored differently to distinguish it from the “front”. And would the flip-sides all be of the same color? As I have shown various fourfolds on this blog, I have tried to orient them in a common conceptual “direction”, although that is often not clear to me or agreed upon by others of similar temperament. Perhaps they could be the same color if they metaphorically point this same way.

Also, by design and by construction, the monoboloes could be considered “Words”, diaboloes could be considered “Thoughts”, triaboloes could be considered “Actions”, and tetraboloes could be considered “Things”. This would be more in line with the hierarchy given by Richard McKeon’s 1972 lectures on Aristotle’s “Topics”. Words, thoughts, actions, and things are called “commonplaces” by McKeon, or a “place within which inquiry about meanings that are about things that are covered by that meaning can take place”.

The association of these tiles with tangrams is an interesting one. The standard tangram set consists of two small tans (unitans?), three bitans (square, midtan?, and paratan?), and two tetratans that form larger tans (bigtans?). I wonder if there is a standard nomenclature for these pieces, because mine seems rather silly.

I used to have a tangram set when I was a child and even still have an old Dover book by Ronald C. Reed “Tangrams: 330 puzzles”. It’s nice to see that it’s still available on Amazon. Of course the arrangement of the pieces in tangrams is much more flexible than what I’m proposing here for my game so really they are very little alike.

http://mathworld.wolfram.com/Polyabolo.html

https://en.wikipedia.org/wiki/Tangram

https://en.wikipedia.org/wiki/Two-factor_models_of_personality

Richard McKeon / Disciplines, Arts, and Faculties: Invention and Justification: Topics, Lectures given at University of Chicago 1972. (Taped, Transcribed and Edited by Patrick F. Crosby, by private communication)

Notes:

Possible names for tile combinations:

• Unit, Solitary, Unitary, Simple, Singular, Singleton
• Binary, Duplex, Dual, Twofold, Bipartite
• Triple, Threefold, Ternary, Trinity, Tripartite

[*10.72]

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# Fourfold Physicalism

It is not enough for a wise man to study nature and truth, he should dare state truth for the benefit of the few who are willing and able to think. As for the rest, who are voluntarily slaves of prejudice, they can no more attain truth, than frogs can fly.

— From Man a Machine, by Julien Offray de La Mettrie

https://equivalentexchange.wordpress.com/2012/07/03/structure-function/

https://equivalentexchange.wordpress.com/2013/10/09/things-happen/

https://equivalentexchange.wordpress.com/2014/02/01/relations-all-the-way-down/

https://equivalentexchange.wordpress.com/2015/06/09/four-primary-relations/

https://en.wikipedia.org/wiki/Man_a_Machine

Notes:

Structures are built from parts.
Parts are reductions of structures.
Functions are assembled from actions.
Actions are the constituents of functions.

[*8.132, *9.104, *10.10]

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# Enlightenment Now!

I want a new enlightenment and I want it now! One replete with:

• Humanism
• Reason
• Science
• Progress

Or, at least I can read the book.

Steven Pinker / Enlightenment Now: The Case for Reason, Science, Humanism, and Progress

http://www.playboy.com/articles/playboy-profile-steven-pinker

[*10.70]

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# Seven Sermons to the Dead, Part 2

Here with inadequate description is another fourfold of entities from Seven Sermons to the Dead.

• The Pleroma: The spiritual universe as the abode of gods and of the totality of the divine powers and emanations.
• The Creatura: The living world, subject to perceptual difference, distinction, and information
• Abraxas: The supreme power of being transcending all divinities and demons and uniting all opposites into one
• Philemon: Jung’s spiritual guide, the narrator

https://en.wikipedia.org/wiki/Pleroma

https://en.wikipedia.org/wiki/Abraxas

[*10.76]

# Seven Sermons to the Dead

Four is the number of the principal gods, as four is the number of the world’s measurements.

One is the beginning, the god-sun.

Two is Eros; for he bindeth twain together and outspreadeth himself in brightness.

Three is the Tree of Life, for it filleth space with bodily forms.

Four is the devil, for he openeth all that is closed. All that is formed of bodily nature doth he dissolve; he is the destroyer in whom everything is brought to nothing.

— Carl Jung, from Seven Sermons to the Dead

http://gnosis.org/library/7Sermons.htm

https://jungiangenealogy.weebly.com/seven-sermons.html

https://en.wikipedia.org/wiki/Tree_of_life

[*10.76]

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