生物
Biologic
摘要：
在本文中，我们探讨了生物学和形式系统（逻辑）研究之间的边界。最后，我们得出了一个概括的形式主义，这是“边界数学”中的一章，其中不仅有容器<>，而且还有扩展器><，实体对交互开放，并区分它们不是的空间。容器和扩张器的边界代数之于生物学，就像布尔代数之于经典逻辑。我们展示了这种形式主义如何包括DNA复制的逻辑，狄拉克形式主义的量子力学，形式主义的蛋白质折叠和Temperley Lieb代数的基本结构的基础上的拓扑不变量的结和链接的重要组成部分。
英文摘要：
In this paper we explore the boundary between biology and the study of formal systems (logic). In the end, we arrive at a summary formalism, a chapter in "boundary mathematics" where there are not only containers <> but also extainers ><, entities open to interaction and distinguishing the space that they are not. The boundary algebra of containers and extainers is to biologic what boolean algebra is to classical logic. We show how this formalism encompasses significant parts of the logic of DNA replication, the Dirac formalism for quantum mechanics, formalisms for protein folding and the basic structure of the Temperley Lieb algebra at the foundations of topological invariants of knots and links.
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