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The transformation carried here is a particular type of the more general one. As the linked text notes: The continuous replicator equation on n types is equivalent to the Generalized Lotka–Volterra equation in n − 1 dimensions. In the case described in the OP the number of types is $n=2$, although "Lotka-Volterra" is a bit too generous a term for ...


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It's hard for me to know the degree to which the Kaczynski quote is wrapped up in what you are interested in, so I will answer your question very narrowly without considering that quote: does there exist any fleshed out sub field of biology which have axiom systems from which experimental predictions can be worked out from? Yes, fields exist in which such ...


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In a way, all biological research is based on certain axioms, just as all scientific study is bound certain foundational principles. The proposition you shared sounds like something straight out of General Systems Theory (GST), an inherently interdisciplinary field based on the premise that complex systems share common organizing principles, and that these ...


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I am not completely sure, but I think mathematical biology, bioinformatics and/or computational biology are what you are looking for. However, the assumptions in these fields are not always fundamental "truths" like with mathematical axioms or Einsteins postulates. The issue with axiomatizing biology is that the systems that are studied, unlike ...


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Fractals are by far more ubiquituous than it may appear at a first glance, spanning essentially all the levels of organisation of living organisms; including vascular and neural networks in animals and plants, metabolic networks in bacteria, and the food networks characterizing whole communities. (See, e.g., the answers to this question for more discussion ...


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