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Corey
Five with a Four-wing
Date Joined Feb 2003
Total Posts : 1893
| Posted 5/1/2004 10:08 PM (GMT -6) |   | I was playing around with the hexagon of opposition and translated it to three dimensions and found it made an octahedron. Opposite corners are contradictory. I found this format helpful for me to get a better feel (literally) for what the hexagon is conveying.
Have some fun with scissors and tape! 
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Tom
Registered Member
Date Joined Jul 2001
Total Posts : 10353
| Posted 5/2/2004 2:58 AM (GMT -6) | | No lie, I tried to draw this out some time ago. Thanks. I'm printing it and cuttin it out! Cool. We'll see if it works.
Tom | | Back to Top | | |
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Alan Rhoda
Registered Member
Date Joined May 2002
Total Posts : 680
| Posted 5/2/2004 4:41 PM (GMT -6) | | Hey CJF, that's really cool. I tried it out. Turns out the other faces depict subalternates running from the contraries to the subcontraries. Three of the faces are redundant, but I doubt the figure would fold without them. Doesn't contain any more information than the hexagon, but really cool nonetheless.
Takes a software architect to come up with this. 
Thanks.
Alan | | Back to Top | | |
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Corey
Five with a Four-wing
Date Joined Feb 2003
Total Posts : 1893
| Posted 5/3/2004 10:58 AM (GMT -6) | | I started pursuing this because I intuited that the "Q" nodes were orthogonal to the plane created by the square of opposition.... I thought we were going from a 2-dimensional square to a 3-dimensional "thing". I liked that I could see the original square in the middle plane.
I was hoping that this would help me or others to consider this, quite literally, from another perspective. Maybe new insights would arise.
One thing I did notice was that all of the determinate vertices are on one face, and the opposite face contains all the indeterminate vertices.
In this model, there are three dimensions:
X: Zp to ~Zp
Y: Z~p to ~Z~p
Z: Qp to ~Qp
In English, how might one name these axis?
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Alan Rhoda
Registered Member
Date Joined May 2002
Total Posts : 680
| Posted 5/3/2004 3:16 PM (GMT -6) | | quote:
Originally posted by CJF
In this model, there are three dimensions:
X: Zp to ~Zp
Y: Z~p to ~Z~p
Z: Qp to ~Qp
In English, how might one name these axes?
Hmmm. This seems too obvious so perhaps I don't quite grasp the significance of your question, but how about "contradictories"? Or if you prefer "opposites", "antitheses", "binary valencies", etc.
Perhaps you are looking for a unique name for each particular axis. If so, then I suggest
X = the determinacy axis
Y = the contra-determinacy axis
Z = the indeterminacy axis
For what it's worth.
Alan
PS: Noticed you updated the octahedron cut-and-fold image to show subalterns. Very cool. | | Back to Top | | |
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Corey
Five with a Four-wing
Date Joined Feb 2003
Total Posts : 1893
| Posted 5/3/2004 3:35 PM (GMT -6) | | quote:
X = the determinacy axis
Y = the contra-determinacy axis
Z = the indeterminacy axis
Right. That's what I was asking. Thanks! | | Back to Top | | |
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