"relational" = 'concerning the way in which two or more people or things are connected.' Got that in a google search
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Gem-good enough definition.
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Yes it covers your A and B.
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There is no A or B in fact, only the equal relation, so I just use the A and B dots as a representation.
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The problem removing A and B doing that is that you then have no visual expression to aid you in whatever definition/meaning your trying to apply to your word "relational".
So basically, if you do away with A and B your left with the google definition I offered, and agree with.
So were back todefining what a 'thing' is. How we define a 'thing' and that leads to using words like dot, A dot B, line-of-relationship etc.....
And some of the words I added to disscussion, ex angle, 2D area is the mininmal expression of a dot and a dot is really just a short line.
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You're getting caught up in the representation but that representation is only an explanation of the concept. It needn't be dots or lines at all. Another representation would be as good.
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As I originally concept of a metaphysical-1 dot cannot be expressed with less than 2D area.
The minimal area is a 2D triangle and it has;
..3 angles,
..3 lines-of-relationship,
..3 corners/vertices connecting only two lines,
and similar too--- tho not exact --it divides infinite "U"niverse and finite Universe into two parts;
...all the space inside and all the space outside of the triangle.
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One thing has one aspect. Equal relation. But the philosophy shows how equal relation has different possibilities.
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Well relation = relationship and that is at minimal is composed of three aspects, that I presented to you previously. A C B
A terminal end point/dot or whatever you want to call it
B terminal end point/dot that is 180 degrees diametric at other end of the,
C line-of-relationship.
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The dot represents a zero dimensional entity.
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That is what I refer to as a metaphysical-1 ergo conceptual dot, or point.
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It expressing the equal relation, so it is equalateral.
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All polyhedra all symmetrically equal in their a respective set of;
... interior angle,
...surface angle and,
.... exterior angle
A as beginning point/dot of line-of-relationship C, is not equal to B, if we consider that A comes before B in the actualy creation of a line-of-relatonship, between beginning A and ending point B.
And again, any metaphysical-1, i.e. conceptual line-of-relationship, actually expressed, can be no less than 2D area i.e. a expressed line, at mininimum is just a long dot.
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gem-The tet can express equal relation but the cube can not because there are three different distances between a cubes vertices. (Dots would be at vertices.)
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True, insofar as, the tetrahedrons design does not allow for lines-of-relationship between the vertices across the volumetric interior i.e. the tetrahedron does not have allow for diametric diameters between vertices ergo those 6 lines-of-relationships are chords.
Whereas the cube and other three regular polyhedra I mentioned previously do allow for volumetrically diametric lines-of-relationship.
r6
Where more that 4 dots exist there can not be an equal relation.
Not exactly, the inside and outside is an act of distinction (see George Spencer Brown) - the equal relation is not. The shapes I used only represent the equal relation concept. The 4 dot relation just shows that space is an inevitable facet of equal relation.[/quote]