文档介绍：摘 要
在现当代各学科发展中,逻辑学与其他学科相互作用的情况屡见不鲜, 逻辑学与数学更是存在着天然的联系。而“类”之研究就是逻辑学与数学连接的桥梁之一,类逻辑是以类作为其主要研究对象的逻辑,类比推理是其主要推理形式,在古今中外的逻辑研究中都涉及到了类逻辑思想。
本文主体部分主要围绕类逻辑从以下三个方面展开研讨: 首先,从类的渊源进行解读。分析中国古代、西方传统逻辑及现代逻
辑思想的发展状况,进而对“类”范畴的逻辑性质进行了阐述,并分析了推类思想在古代数学中的发展,意在引出逻辑学与数学有着不可忽视的渊源。
其次,对“类”进行了简单的比较。通过类在逻辑学与数学中同一性
进行比较,明确了逻辑学与数学具有诸多的相同点,进而对各自的相同点进行了粗略的论述。本文对类进行了全方位的思考,对其进行真正的价值解读,并通过对“类”所具有的价值进行有效地分析,在分析过程中明确了逻辑学与数学中“类比”思想的价值所在,并清晰可知数学方法中应用到“类”所具有价值意义。
最后,主要探讨了“类”的创新功能。在本文中得到的结论是类之思想是创新的价值导向,在此论述了疑惑与迷茫培养了创新精神、善于思考激发了创新潜能,而这些恰是创新功能得以获取的途经所在。并从政治社会发展、思维意识和教育中看到类所具有的真真切切的应用功能。
总之,类逻辑是一个值得探讨和研究的领域,由“类”构成的类逻辑体系是思维领域中的一笔重要财富,并且它还是其他学科获得新知的一个环节所在;而对于那些没有涉足逻辑领域的人们而言,它对开启智慧和培养创新思维具有积极的功效。
关键词类;类逻辑;逻辑学;数学;创新
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Abstract
In the development of various disciplines of modern and contemporary, Logic and Mathematics even have a natural link though the interaction in Logic and other disciplines is nothing new. While the research of the "type" is one of the bridge connecting Logic and Mathematics, type-logic takes "type" as its main research object, and analogical reasoning as its main form of reasoning, the type-logic thoughts are related to the ancient and modern researches.
The main part of this text focus on the research of type-logic and discussing from the following three aspects:
Firstly, this text interprets the origin of the "type". In order to extract the can’t ignored origin in Logic and Mathematics, this paper analyzes the development of ancient China, the Western tradition of modern logic thoughts, and then the logical properties of the "type" are described and the development of the "type" thought in pushing in ancient Mathematics are analyzed.
Secondly, a parison is given on the "type". Through parison of identity in Logic and Mathematics of type, which Logic and Mathematics have many similarities are clearly known, and then a rough discussion of the same points in their respective is given. This paper conducts a full range thought of type, and interprets its real value, at the same ti