关于教育公理的几点思考

IF 0.8 Q3 EDUCATION & EDUCATIONAL RESEARCH
Vincentas Lamanauskas
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引用次数: 0

摘要

自古以来,假设和公理就被用作一种知识手段。古希腊著名思想家亚里士多德、柏拉图、欧几里得等人都使用了这种认知工具。举个例子,我们都知道——欧几里得的公设。尽管数学家们认为他是数学的先驱,也是最著名的数学家之一,但更恰当的做法是将欧几里得视为希腊哲学家,他在《元素》一书中提出了最重要的公设和公理。普遍的观点是,从本质上讲,它足以证明所有的数学陈述。尽管最完美的公理学是经典欧几里得几何,但这里还有一个替代方案,即现代非欧几里得几何。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A FEW POINTS ABOUT AXIOMATICS OF EDUCATION
Postulates and axioms have been used as a means of knowledge since ancient times. The well-known ancient Greek thinkers Aristotle, Plato, Euclid, and others used this cognitive tool. As an example, we all know – Euclid’s postulates. Although mathematicians consider him the pioneer of mathematics, one of the most famous mathematicians, nevertheless, it is more appropriate to consider Euclid as a Greek philosopher, who presented the most important postulates and axioms in his book "Elements". The prevailing opinion is that in essence it is exactly enough to prove all mathematical statements. Even though that the most perfect axiomatics is classical Euclidian geometry, there is an alternative here, i.e., modern non-Euclidean geometry.
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来源期刊
Problems of Education in the 21st Century
Problems of Education in the 21st Century EDUCATION & EDUCATIONAL RESEARCH-
自引率
14.30%
发文量
50
期刊介绍: Problems of Education in the 21st Century is an international, periodical scientific journal publishing original research across the whole of education. The journal''s Editorial Board and staff are committed to building PEC into the leading scientific journal in its field by publishing articles of outstanding scientific quality that merit the attention and interest of the whole educational community.
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