Towards a New Epistemology of Mathematics

In this introduction we discuss the motivation behind the workshop “Towards a New Epistemology of Mathematics” of which this special issue constitutes the proceedings. We elaborate on historical and empirical aspects of the desired new epistemology, connect it to the public image of mathematics, and give a summary and an introduction to the contributions to this issue.

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什么是概念的拓扑空间?

本文主要讨论的是概念的拓扑空间问题。作者认为,概念研究是哲学的一个主要任务,哲学研究的工作就是要对已经形成的各种概念进行分类整理,对概念的意义进行澄清,对概念的作用加以规定。通过对哲学史上的五个概念问题个案的说明,作者指出了概念的拓扑性质是概念之间具有这样一种空间关系,即概念与概念的极限关系和连续性质形成了概念之间的拓扑空间。这里强调的是概念的形式化特征,从逻辑的观点看,概念的拓扑空间就是一种逻辑空间。     

不同符号形式数字的数量表征

针对以往对不同符号形式数字数量表征的ERP研究只应用以反应为原点分段平均分析方法,以及忽略对后期符号效应观察,从而造成对数量表征的考察不完善的状况,本研究利用ERP技术,结合借助潜伏期平移思想的以刺激为原点的分段平均方法,对阿拉伯与汉字小写的两位数数字的数量大小比较任务进行考察.结果表明阿拉伯数字与汉字数字在编码表征阶段存在差异,ERP结果中符号效应与距离效应无交互作用,但是在距离效应出现的同时仍然存在符号效应,说明不同符号形式数字的数量表征并非完全相同.     

康德实践理性的事实概念及其对自由的证明

康德实践理性的事实概念指的是道德律或道德律的意识,而道德律本身实际上是道德律的意识。道德律是某种自身肯定的东西,它作为事实肯定了纯粹实践理性的客观实在性,并通过理性的这一积极的概念,证明了它自身在实践上的客观实在性。正是通过道德律这一事实,在思辨哲学那里只具有消极性的自由的原因性的概念,在实践哲学中获得了积极的规定,也成为了一个“事实”。     

论农村公共物品的民间提供

在我国农村,农民对公共物品具有强烈的依赖性,农村公共物品的供给对农业生产、农民生活具有重要意义.然而,目前农村公共物品的供给大多是由政府承担,特别是乡镇政府提供的公共物品在总体上并不能满足农村发展的需要,农民迫切需要的公共物品供给不足,农民不需要的公共物品却供给过剩.这种现状在一定程度上影响了"三农"问题的解决.单一的政府供给体制不能满足农村社会发展的需要,那么应当探寻其他方式解决农村公共物品的供给.由此,笔者提出农村公共物品的民间提供,分析其可行的模式,并就如何激励农村公共物品的民间提供提出几点建议.     

论"积极的社会保障"

本文认为:"消极的社会保障"是指主要发挥"保障基本生活,保持社会稳定"功能的社会保障,"积极的社会保障"则是指在发挥前者功能的基础上进一步发挥"增加人民福祉,促进社会和谐"功能的社会保障.文章从发展阶段、社会公平、制度建设的角度提出改善民生必须特别重视加强社会保障体系的建设,实现从"消极的社会保障"向"积极的社会保障"的战略性转变.     

负面身体自我女性对身体信息的记忆偏向： 来自ERP研究的证据

采用事件相关电位（ERPs）技术探讨了负面身体自我女性（大学生）对胖-瘦两类身体图片进行再认时的脑内时程动态变化。结果发现,相对于控制组（正常女大学生）,胖负面身体自我女大学生在750~800ms的时间窗口内,“胖图”比“瘦图”诱发出一个更正的ERP波形,差异波的地形图显示该正成分在中前部有更强的激活。进一步对差异波作偶极子溯源分析,结果发现,该正成分主要起源于右侧枕叶附近。这似乎表明,右侧枕叶的激活与身体自我信息的出现有关,与负面身体自我图式的体验有关     

<Emphasis Type="Italic">Viktor Žirmunskij and German</Emphasis> Mundartforschung

German dialect geography developed, inter alia, as a means to compensate the shortcomings of the Young Grammarians’ approach to language. In contrast to the latter, it was conceived of to be a sociolinguistic project, constituting thereby one link between the development of Soviet and German linguistics. The article tries to answer such questions as who initially participated in transferring ideas of German dialectology to the Soviet Union and what kind of motivations underlay those transfers. Combining biographical facts with systematic aspects, the article surveys the filiations of some productive ideas with the help of archival sources, i.e. letters of the Soviet scholars Dinges (1891–1932) and Viktor Žirmunskij (1891–1971). Finally, I try to single out the elements in Žirmunskij dialect geography, which are specifically sociolinguistic.

Do captive mandrills invent new gestures?

Studies of intraspecific behavioral variability have documented cases where behaviors are present in some populations or groups but are absent in others. In some cases these differences cannot be explained by recourse to environmental or genetic variation, and may instead represent “traditions”. Despite many examples of animal traditions in acoustic communication, relatively few examples exist of gestural traditions. Here I report on a study of communication across eight captive groups of mandrills (Mandrillus sphinx) in which a prominent gesture (Hand extension) was unique to two groups. Habitat variability, genetic differences, and sampling bias were not sufficient to account for the gesture’s limited distribution across the study groups. Within the two groups where the gesture did occur only the juveniles in the group performed it, consistently directing it toward adults. Quantitative analysis of the contexts and responses associated with the gesture suggested that juveniles utilized it to provoke adults. Moreover, the gesture appeared to minimize the risk juveniles incurred while inciting adults, suggesting that repeated social interactions shaped the gesture’s form. Interestingly, both the groups where the gesture emerged contained few juveniles. With limited play partners, these juveniles may have resorted to harassing adults as an alternative social play outlet. The creation of this novel gesture may thus be due to the combined influence of a shortage of play partners and of the increased free time for playful social exploration afforded by captivity. Although juveniles frequently “eavesdropped” on dyadic interactions involving the gesture and would subsequently initiate an interaction with the recipient of the gesture, there was no definitive evidence for social transmission; the gesture could instead have been independently invented by each juvenile. Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users.