数理逻辑的盲区与哲学逻辑的兴起

海德格尔从哲学探究的角度出发 ,对哲学和逻辑进行了深入的思考。他认为 ,逻辑是关于一个语句的意义和判断的内容的。数理逻辑的发展使逻辑丧失其重要性并且远离了本体论的讨论。哲学逻辑并不是一门新科学 ,而只是实现了从一开始就在进行的对于传统逻辑的刻画。研究海德格尔的哲学和逻辑思想可以得到的基本启示是 :我们在进行哲学逻辑以及逻辑哲学研究的时候 ,一定要有一个理念 ,即逻辑是需要哲学来为其辩护的 ,逻辑的研究要有一个哲学的基础。哲学逻辑是逻辑在哲学中的应用 ,在应用的过程中哲学理念已经深深地灌输进去 ,哲学与逻辑已水乳交融 ,两者的联盟使得各自的学科都得到了长足的发展。

The Blind Zone of Mathematical Logic and the Rise of Philosophical Logic: Comments on Heidegger's Thought of Philosophical Logic

Heidegger believes that logic concerns the meaning of a sentence and the content of judgment. The development of mathematical logic makes logic lose its significance and depart from the ontological discussion. Philosophical logic is not a new discipline but has just realized the characterization of the traditional logic, and also a deviant logic different from mathematical logic. Through studying the relationship between logic and philosophy, we obtain a deeper understanding toward the nature of logic and the relationship between different logical systems. The formal differentiation of different logical systems helps us better clarify the philosophical concept and explain it more accurately. In studying philosophical logic and the philosophy of logic,we must keep it in mind that logic needs philosophical justification and philosophy is the basis of the study of logic. Philosophical logic is the application of logic in philosophy and the philosophical idea has been inculcated deeply in this process of application.