论文部分内容阅读
数学的一致性 ,或者说数学的无矛盾性是大多数数学家和逻辑学家的信条 ,因此 ,隐含的矛盾的存在和出现会危及到数学的基础。维特根斯坦则认为 ,从矛盾和规则的特性来看 ,所谓隐含的矛盾是不存在的 ,那些演算过程中突然出现的矛盾并不是隐含着的矛盾 ,演算中一旦出现矛盾也用不着担心 ,我们只要增加一条规则就行了。维特根斯坦的隐含的矛盾思想蕴涵着他的逻辑观点 ,强调了能做的和不能做的之间的区分 ,强调了语言和哲学的描述性性质。
The consistency of mathematics, or the paradoxical nature of mathematics, is the credo of most mathematicians and logicians, so the existence and emergence of implicit contradictions endanger the foundations of mathematics. Wittgenstein believes that from the characteristics of contradictions and rules, the so-called implicit contradictions do not exist. The sudden contradictions in these calculations are not implicit contradictions. There is no need to worry about the contradictions in the calculation , We just add a rule on the line. Wittgenstein’s implicit contradictory ideas imply his logic, emphasizing the distinction between what can and can not be done, and emphasizing the descriptive nature of language and philosophy.