Wittg.–

       At a pinch, one is tempted to interpret “not-p” as “everything else, only not p”. That from a single fact p an infinity of others, not-not-p etc., follow, is hardly credible. Man possesses an innate capacity for constructing symbols with which some sense can be expressed, without having the slightest idea what each word signifies. The best example of this is mathematics, for man has until lately used the symbols for numbers without knowing what they signify or that they signify nothing.