We discuss about how to make a new logic with considering a slogan: \it take the inversion of what you know. \rm Suppose that we have a Gentzen-style logical system $S$. The operation to make a new logic from $S$ is the following: \it for all the axioms and rules of $S$, change the direction of all the arrows occurred in the sequents of the axiom or the rule to the opposite side. \rm We call this operation \it Stahlization. \rm We consider certain logics in this respect.
翻译:我们讨论如何在考虑一个口号时得出新的逻辑:\它会反转你所知道的。\rm 假设我们有一个Gentzen式的逻辑系统, 也就是S$。 从$S做一个新的逻辑的操作如下:\ 它代表所有S$的轴线和规则, 改变所有箭头的方向发生在轴线的顺序或规则到对面。\rm 我们称之为这个操作 \it Stahlization。\rm 我们考虑在这方面的某些逻辑。\rm