## Theoretical biology and complexity: three essays on the natural philosophy of complex systems |

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### Contents

Introduction | 3 |

Hierarchical Structure | 5 |

Forces and Fields | 11 |

Copyright | |

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### Common terms and phrases

associated bijections biology category theory causal coequalizer coequalizer-mono commutativity compatible complex systems congruence consider continuous dynamics continuum convection coproduct defined definition density derivative description space diagram dissipative dynamical systems encoding entropy epi-equalizer epimorphisms equation of continuity equivalence relation example field finite flux formal system four-vector function functor galaxies given gradient gravitational hence hierarchy identity implies inertial force informational potential injection interaction isomorphism Lemma Mach's principle mapping mass mathematical momentum monomorphisms morphisms motion N-objects natural systems natural transformations Newtonian paradigm Nicolas Rashevsky Note object observables organismic set organisms particle phase space physics potential energy preceding pseudo-potentials R)-system Rashevsky real-potentials representation retarded potential Rosen S-morphism s-space scalar potential scalar potential energy scale factors Section source term split mono stress tensor structure subset surjective T-topology Theorem theory thermodynamics topology vector potential vector potential energy velocity volume