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1.数学化是当代理论科学进行逻辑推理不可缺少的一种形式化手段:它既在其它科学中是思维抽象的一种形式,又是对客体内容进行“剪裁”的一种形式。所以,我们看待数学化,不应只单向地把它看作是数学在其它领域的应用,而应当从双向的相互作用上来认识数学化的趋势。数学化本质表现为:在高度分化与高度综合的科学整体化发展形势中,数学的渗透范围越来越广,数学方法的作用越来越大;科学的发展促使建立起新的数学理论和方法,进一步扩充了数学的应用范围,提高了它的应用能力;电子计算机的应用进一步加强了数学的作用;各门科学在现代化过程中,由于自身定量化、
1. Mathematicalization is a form of formalism indispensable to the logical reasoning of contemporary theoretical science: it is both a form of thinking abstraction in other sciences and a form of “tailoring” to the content of objects. Therefore, we should regard mathematicization instead of considering it as a one-way application of mathematics in other fields. We should understand the trend of mathematics from the two-way interaction. The nature of mathematics is manifested as follows: in the situation of highly integrated and highly integrated science, the infiltration of mathematics is more and more widespread, and the role of mathematical methods is more and more. The development of science has led to the establishment of new mathematical theories and methods , To further expand the scope of application of mathematics and improve its application capacity; the application of electronic computers to further enhance the role of mathematics; various sciences in the modernization process, due to their own quantitative,