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数学文化所反映的并非个别事物或现象的数量特征，而是一类事物或现象的共同性质．尽管数学对象并非是现实世界中的真实存在，而只是抽象思维的产物．但是数学研究中，采取的是纯客观的立场，即把数学对象看成是一种不依赖于人类的独立存在，通过严格的逻辑分析去揭示其固有的性质和相互关系．作为人类思维的表现形式，数学反映了人们积极进取的意志、缜密周详的推理以及对完美境界的追求．
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