How are we to avioid the following play of mirrors: a proposition must be true because its expressible is true, while the expressible is true only when the proposition itself is true? All these difficulties stem from a common source: in extracting the double from the proposition we have evoked a simple phantom. Sense so defined is only a vapor which plays at the limit of things and words. Sense appears here as the outcome of the most powerful logical effort, but as Ineffectual, a sterile incorporeal deprived of its generative power. Lewis Carroll gave a marvelous account of all of these paradoxes: that of the neutralizing doubling appears in the form of the smile without a cat, while that of the proliferating redoubling appears in the form of the knight who always gives a new name to the name of the song - and between these two extremes lies all the secondary paradoxes which form Alice’s adventures. 87 notes