继往开来薪火不尽——李约瑟研究所所长古克礼博士访谈录

继李约瑟、何丙郁之后,古克礼于2003年就任剑桥李约瑟研究所所长.他有什么样的家庭和学术背景?什么原因引起他对中国科技史的兴趣?怎样能在天文、数学、医学这些不同的知识领域游弋同时承担繁重的行政工作?他同李约瑟的关系如何?他对李约瑟研究所的现状与未来有何看法?他怎样看待中国科技史研究在国际学术界的地位以及相关的国际合作问题?通过访谈,古克礼博士回答了这些问题.     

Cullen数的完全方幂

证明n为正整数时,Cullen数Cn=n·2n+1中仅有C2=9,C3=25可以表示为完全方幂.     

关于素数的几个定理

本文用模型论方法证明了关于素数的几个定理.     

Problem Conceptualisation Using Idea Networks

The social act of conceptualising a situation as problematic is thought to determine what will later be seen as a satisfactory solution. Pierce argues that conceptualising something (or an event) is a process of thinking about it through a set of conceptual frames. This paper presents a method for emerging those conceptual frames from preliminary discussions with participants. It draws on the work of Christopher Alexander and the Small Worlds phenomenon. Alexander suggests that participants’ statements can be thought of as being networked. The Small Worlds phenomenon then suggests that this network will not be uniform but rather be made up of a number of clusters (small worlds). These can be used to identify the conceptual frames in the participants’ statements. Therefore, the argument of this paper is that this method can be used to conceptualise problems. Having an explicit method is thought preferable to calling for unspecified creativity. The creativity comes from the method taking Dewey’s advice to switch between analysis and synthesis. The paper’s argument will be supported by explaining how the method can be practiced, while explaining why (theorising) the steps advised might be creative.