论文标题
哲学指导的复杂系统建模的数学形式主义
Philosophy-Guided Mathematical Formalism for Complex Systems Modelling
论文作者
论文摘要
我们最近介绍了所谓的Allagmatic方法，该方法包括一个系统元模型，该系统提供了一个用于描述，建模，模拟和解释复杂系统的框架。它的发展和编程受到哲学的指导，尤其是吉尔伯特·西蒙登（Gilbert Simondon）的个性化哲学，阿尔弗雷德·诺斯·诺斯·诺德·诺德·诺德·诺德·诺德·诺斯·诺德·诺德·诺德·诺德·诺德·诺德·诺德·诺德·诺德·诺德·诺德（机好者）。在这里，提出了一种数学形式主义，以更好地描述和定义Allagmatic方法的系统元模型，从而进一步将其推广并扩展到更正式的治疗方法，并允许更多的理论研究。通过使用形式主义，提供了一个进一步研究的示例，并提供了数学定义和模型创建和蜂窝神经网络等效性的证明。
We recently presented the so-called allagmatic method, which includes a system metamodel providing a framework for describing, modelling, simulating, and interpreting complex systems. Its development and programming was guided by philosophy, especially by Gilbert Simondon's philosophy of individuation, Alfred North Whitehead's philosophy of organism, and concepts from cybernetics. Here, a mathematical formalism is presented to better describe and define the system metamodel of the allagmatic method, thereby further generalising it and extending its reach to a more formal treatment and allowing more theoretical studies. By using the formalism, an example for such a further study is provided with mathematical definitions and proofs for model creation and equivalence of cellular automata and artificial neural networks.
