Qualitative models of rationality: Philosophical foundations and applications

该项目旨在将理性的定性方法确立为一种可行和有吸引力的选择。理性的数学模型旨在将良好推理和决策的规则形式化，传统上认为信念和愿望总是以精确的、可量化的信心和价值程度给出的。这一假设强大得令人难以置信，而且已经开发出替代的定性框架来处理它经常失败的情况。然而，这些仍然不完整，其基础也鲜为人知。该项目将处理它们的遗漏，确保它们的概念基础，并用它们来澄清和解决长期存在的哲学问题。

This project aims to establish the qualitative approach to rationality as a viable and attractive choice. Mathematical models of rationality, which aim to formalise the rules of good reasoning and decision making, traditionally assume that beliefs and desires are always given in precise, quantifiable degrees of confidence and value. This assumption is implausibly strong, and alternative, qualitative frameworks have been developed to handle the frequent situations in which it fails. These, however, remain incomplete and their foundations poorly understood. The project will address their omissions, secure their conceptual underpinnings and use them to clarify and resolve long-standing philosophical problems.