微积分中的一些哲学意蕴

Some philosophical implications in calculuses

  • 摘要: 数学与哲学是互为关联、相互印证的,"你中有我,我中有你"。严格地讲,数学讲究定义的准确与清晰,是考察对象的量的规定,哲学则着重分析语言及概念的含义。许多哲学命题可用数学去阐释,许多数学问题又蕴涵着深刻的哲学意义。本文试图利用微积分中的一些数学概念来说明这一问题。

     

    Abstract: Mathematics and philosophy are inter-related and inter-confirmed, namely, unalienable. Seriously, mathematics examines the qualitative limitation of a subject, questing the accuracy and explicitness of a definition; whereas philosophy is aimed at analyzing the implications of language and concepts. A variety of philosophical propositions can be interpreted by means of mathematics, while large numbers of mathematical questions imply profound philosophical implications. This phenomenon is explained with the h...

     

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