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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,... |