受古代怀疑论者和中世纪唯名论思潮的影响,为了对抗其消极怀疑论和对理性的不信任,笛卡尔提出普遍怀疑方法,虽然该方法由怀疑人到怀疑上帝、由怀疑感觉经验知识到怀疑具体科学知识破坏了人类的知识大厦,但是笛卡尔建设性地找到一个“阿...受古代怀疑论者和中世纪唯名论思潮的影响,为了对抗其消极怀疑论和对理性的不信任,笛卡尔提出普遍怀疑方法,虽然该方法由怀疑人到怀疑上帝、由怀疑感觉经验知识到怀疑具体科学知识破坏了人类的知识大厦,但是笛卡尔建设性地找到一个“阿基米德点”——“我在怀疑”不可怀疑,从而确立基础主义的第一原则、高扬理性权威、弥补“直观”缺陷且对胡塞尔现象学创立大有裨益。不过,普遍怀疑方法中存在的诸如与自身真理观相矛盾和“我思”原则不具有普遍适用性的问题应引起足够重视。Influenced by ancient skeptics and medieval nominalism, and in order to counter their negative skepticism and distrust of reason, Descartes proposed the method of universal skepticism, although this method destroyed the edifice of human knowledge from doubting man to doubting God, from doubting sensory empirical knowledge to doubting concrete scientific knowledge. But Descartes constructively found an “Archimedes point”—“I am doubting” cannot be doubted, thus establishing the first principle of foundationalism, exalting the authority of reason, making up for the defects of “intuition” and contributing greatly to the establishment of Husserl’s phenomenology. However, the problems existing in the general doubt method, such as the contradiction with their own view of truth and the principle of “cogito” is not universally applicable, should be paid enough attention.展开更多
Two types of symmetry of a generalized Zakharov-Kuznetsov equation are obtained via a direct symmetry method. By selecting suitable parameters occurring in the symmetries, we also find some symmetry reductions and new...Two types of symmetry of a generalized Zakharov-Kuznetsov equation are obtained via a direct symmetry method. By selecting suitable parameters occurring in the symmetries, we also find some symmetry reductions and new explicit solutions of the generalized Zakharov-Kuznetsov equation.展开更多
文摘受古代怀疑论者和中世纪唯名论思潮的影响,为了对抗其消极怀疑论和对理性的不信任,笛卡尔提出普遍怀疑方法,虽然该方法由怀疑人到怀疑上帝、由怀疑感觉经验知识到怀疑具体科学知识破坏了人类的知识大厦,但是笛卡尔建设性地找到一个“阿基米德点”——“我在怀疑”不可怀疑,从而确立基础主义的第一原则、高扬理性权威、弥补“直观”缺陷且对胡塞尔现象学创立大有裨益。不过,普遍怀疑方法中存在的诸如与自身真理观相矛盾和“我思”原则不具有普遍适用性的问题应引起足够重视。Influenced by ancient skeptics and medieval nominalism, and in order to counter their negative skepticism and distrust of reason, Descartes proposed the method of universal skepticism, although this method destroyed the edifice of human knowledge from doubting man to doubting God, from doubting sensory empirical knowledge to doubting concrete scientific knowledge. But Descartes constructively found an “Archimedes point”—“I am doubting” cannot be doubted, thus establishing the first principle of foundationalism, exalting the authority of reason, making up for the defects of “intuition” and contributing greatly to the establishment of Husserl’s phenomenology. However, the problems existing in the general doubt method, such as the contradiction with their own view of truth and the principle of “cogito” is not universally applicable, should be paid enough attention.
基金The project supported by Natural Science Foundation of Shandong Province of China under Grant 2004 zx 16The authors would like to thank professor Bai Cheng-Lin and the referees for their valuable advices.
文摘Two types of symmetry of a generalized Zakharov-Kuznetsov equation are obtained via a direct symmetry method. By selecting suitable parameters occurring in the symmetries, we also find some symmetry reductions and new explicit solutions of the generalized Zakharov-Kuznetsov equation.
