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一、数学观与数学方法论 1.数学观。近年来,我国的一些著名数学家都致力于对数学哲学的研究,认为数学是“研究广义的量即模式结构形式的科学”,他们从数学哲学的本体论与认识论的角度提出了“数学是一种模式真理”的真理观。按照唯物论的反映论观点,数学模式在本体上具有二重性。就其内容而言,具有明确的客观意义,即是思维对于客观实在的能动反映,任何数学模型都有它的现实原型;就其形式结构而言,数学并非客观世界中
First, mathematics and mathematics methodology 1. Mathematics. In recent years, some of China’s leading mathematicians have devoted themselves to the study of mathematics philosophy. They believe that mathematics is “the study of the quantity of science in the form of a generalized quantity, that is, the form of science,” and they put forward that mathematics is the point of view of the ontology and epistemology of mathematics philosophy. A mode of truth, the concept of truth. According to the materialist theory of reflection, the mathematical model has duality on the ontology. In terms of its content, it has a clear objective meaning, that is, the active reflection of thinking on objective reality. Any mathematical model has its actual prototype; in terms of its formal structure, mathematics is not an objective world.