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在人类的认识史上,从来就有两条根本对立的认识路线:一条是辩证唯物论的反映论;一条是唯心主义的先验论。这两条认识路线,始终进行着激烈的斗争。数学领域里两条认识路线的斗争,已经进行了一个又一个世纪了。 伟大导师恩格斯在《反杜林论》这部光辉的巨著中,对杜林的唯心论先验论给予了毁灭性的批判,系统地阐明了辩证唯物论反映论的基本观点,解决了思维与存在这个哲学上的根本问题。同时,解决了数学的起源、数学的发展动力以及检验数学真理的标准问题。
In the history of human cognition, there have always been two fundamentally opposing cognitive lines: one is the reflection theory of dialectical materialism; the other is the transcendental theory of idealism. There is always a fierce struggle between these two lines of understanding. The struggle of two cognitive routes in the field of mathematics has been going on for more than a century. The great teacher Engels, in the brilliant masterpiece of Anti-Duhring, gave a devastating critique of Dorian’s idealist transcendentalism, systematically clarified the basic viewpoints of dialectical materialist reflection theory, and solved the philosophy of thinking and existence. On the fundamental issue. At the same time, it solved the origin of mathematics, the driving force for the development of mathematics, and the standard issue of testing mathematical truth.