Foreshadowing Transformations • Extensions and Projections of Discourse

And, despite the care which she took to look behind her at every moment, she failed to see a shadow which followed her like her own shadow, which stopped when she stopped, which started again when she did, and which made no more noise than a well-conducted shadow should.

— Gaston Leroux • The Phantom of the Opera

Many times in our discussion we have occasion to place one universe of discourse in the context of a larger universe of discourse.  An embedding of the type is implied any time we make use of one basis which happens to be included in another basis   When discussing differential relations we usually have in mind the extended alphabet has a special construction or a specific lexical relation with respect to the initial alphabet one which is marked by characteristic types of accents, indices, or inflected forms.

Resources

• Differential Logic and Dynamic Systems
• Differential Logic • Foreshadowing Transformations

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