论文标题
多元主义纪念主义。派生的类别理论是N-意识的语法
Pluralist-Monism. Derived Category Theory as the Grammar of n-Awareness
论文作者
论文摘要
在本文中，我们基于多元化的思想开发了一种知名度的数学模型。我们没有将单数原理，Telos或本质视为Noumenon，而是通过多种形式的意识（“ N-意识”）将其模拟为多元化。与许多其他方法相反，我们的模型致力于多元化思维。 Noumenon是复数的，现实既不可理，也不可还原。没有什么可以消失的意义。我们首先通过吸引高等类别理论的数学形式主义来数学来数学意识概念。高级理论的美丽在于其普遍性。多元化是绝对的。特别是，我们使用衍生类别的理论和$（\ infty，1）$ - topoi对意识进行建模，这将引起我们的元语言。然后，我们假设一个“语法”（“ n-淡化”），该语法可以表达N-意识，并伴随着新的时间本体论（“ n Time”）。我们的框架使我们能够在时间哲学中重新审视旧问题：如何改变以及同时性和巧合是什么意思？在我们的模型中可以重新概念化的另一个问题是与这种多元化有关的索特里学之一：在这种情况下自我是什么？因此，引入了一种新的“个人身份”模型。
In this paper, we develop a mathematical model of awareness based on the idea of plurality. Instead of positing a singular principle, telos, or essence as noumenon, we model it as plurality accessible through multiple forms of awareness ("n-awareness"). In contrast to many other approaches, our model is committed to pluralist thinking. The noumenon is plural, and reality is neither reducible nor irreducible. Nothing dies out in meaning making. We begin by mathematizing the concept of awareness by appealing to the mathematical formalism of higher category theory. The beauty of higher category theory lies in its universality. Pluralism is categorical. In particular, we model awareness using the theories of derived categories and $(\infty, 1)$-topoi which will give rise to our meta-language. We then posit a "grammar" ("n-declension") which could express n-awareness, accompanied by a new temporal ontology ("n-time"). Our framework allows us to revisit old problems in the philosophy of time: how is change possible and what do we mean by simultaneity and coincidence? Another question which could be re-conceptualized in our model is one of soteriology related to this pluralism: what is a self in this context? A new model of "personal identity over time" is thus introduced.
