Online research in philosophy

Since the beginning of the twentieth century, Chinese scholars have tended to traditional Chinese learning split apart and rearrange it according to the systematics of modern Western academic disciplines. By examining the meaning of Western "philosophy" and "ethics," it is demonstrated that Western and Chinese learning should not be lumped together according to the same systematics. Moreover, classical Chinese learning has always had its own complex systematics and its own long tradition, and it has undergone constant development over time. Thus, (...) it is well beyond any criticism that may be leveled at it from the standpoint of Western systematics. Even so, modern Chinese intellectuals have become accustomed to understanding classical Chinese learning through a Western prism. (shrink)

Mathematical proofs generally allow for various levels of detail and conciseness, such that they can be adapted for a particular audience or purpose. Using automated reasoning approaches for teaching proof construction in mathematics presupposes that the step size of proofs in such a system is appropriate within the teaching context. This work proposes a framework that supports the granularity analysis of mathematical proofs, to be used in the automated assessment of students' proof attempts and for the presentation of hints and (...) solutions at a suitable pace. Models for granularity are represented by classifiers, which can be generated by hand or inferred from a corpus of sample judgments via machine-learning techniques. This latter procedure is studied by modeling granularity judgments from four experts. The results provide support for the granularity of assertion-level proofs but also illustrate a degree of subjectivity in assessing step size. (shrink)