黑格尔《精神现象学》对于数学的批判

Hegel's Phanomenologie des ceistes and its Criticism of Mathematics

黑格尔在《精神现象学》一书中已经开始了对于数学的批判,这种批判非常深刻地揭示了黑格尔对于现代性批判的一个根本维度。黑格尔对于数学的批判主要表现在三个方面。首先,知识成为真理的前提就是必然性,必然性说的其实是知识的理由、根据和知识的运动。数学知识由于完全外在于事实本身而缺乏真理本身所必需的必然性。其次,数是一种完全不动的、僵死的、漠不相关的规定性,在这里,一切运动和关系都已经消失,它已经拆断了通往情欲的生动表现、具体生活和其他一切感性生活的桥梁。最后,数学思维表现在政治社会领域,就是有用性即真理,真理性也即确定性。

Hegel's Phanomenologie des ceistes begins his criticism of mathematics,which well reveals a fundamental dimension of his criticism of modernity.Hegel's criticism covers three main points: First,the precondition of turning knowledge into truth is necessity while necessity in fact refers to the reason and basis and movement of knowledge;mathematics knowledge exists in fact itself and lacks the necessity of truth itself.Second,number is a static,dead and irrelevant law and it has no relation or motion,no vivid expression of emotions and desires,no connection with concrete or perceptive life.In political and social life,mathematical thinking follows the principle that practicability is truth while truth is necessity.