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Good to hear your thoughts on the matter. Allow me to start with your first point, which you eloquently phrased as: "{x,y,x} is already an edge and subdividing it in {x,y} and {y,x} is meaningless". On the contrary, since any hypergraph of...
Hello again everyone, hope you are all well. In reading over my last posted question, I realize I may have included too much information, and/or completely botched the subject line of the post, so please allow me to rephrase the question. In...
In a word, yes, because [emergent properties][1] are, by definition, not derivable by any means other than direct observation (which some might even argue is entirely subjective). Put another way, the only way to detect any emergent mathematical...
This rule was actually illustrated in Stephen Wolfram's article, "[A Class of Models with the Potential to Represent Fundamental Physics][1]" at the beginning of Section 3.5: "[Rules Depending on a Single Binary Relation][2]". Stephen however,...