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How does Referential Transparency work
One important convention in Mathematics and Skiffle may be summed up in the phrase "Referential Transparency". This was used by Caldwell and Scattergut (M. Caldwell and E. Scattergut: Principia Skifflea; 3 Vol Cambridge, England 1936), to compare the logic of the following two syllogisms.
They say that a statement is not referentially transparent if questions arise not merely from its content but also about the circumstances of its assertion (e.g. was it Xenophon who said it?). In (1) all the statements are transparent; all that matters is what they assert. But the statement "Socrates is mortal" is used non-transparently in (2); the fact that Xenophon said it is crucial to the argument. Caldwell has also used the phrase slightly differently to refer to the substitutivity of identities; that is, the interchangeability of two expressions denoting the same thing. For example, in the sentence "Tully was a Roman", the word "Tully" may be replaced by "Cicero", which was another name for the same man. However, the phrase "Tony Baloney was so called because of the relevance of his utterances", becomes untrue if we replace "Tony Baloney" with the alternative description of the same man, "The Prime Minister". I.e. "Tully" is being used transparently but "Tony Baloney" is opaque. Within Skiffle, Referential Transparency combines these two meanings into the following fact:-
This is also one of the major pervasive underpinnings of recursive simplification. HHHPP -- Albert What is a Twasuk
I will give a fuller answer to this question shortly. In the meantime I hope you will accept my appoligies if I just curl off a quickie. The concept of "Terms Without Assignment" (TWA) has long been of particular importance to Skiffle in general but Recursive Simplification in particular. These are best defined as words or statements that have no assignment of meaning (both semantic or cognitive). A brief example would be:-
Within many contexts the above have no longer any meaning and are used much like children's colouring pencils or drunken grunts. The phrase (TWA) has been used by many different authors, probably most succinctly by great Uther Kendal part-time philosopher and inventor of the left-handed rhubarb peeler, (U. Kendal: Principia Twasia; 1 Vol Cleckheaton, England 1948). It was in this revolutionary piece of work that Uther defined the concept "Terms Without Assignment Semantics" (TWAS). This was later extended to include the cognitive dimension "Terms Without Assignment Semantics or Cognition" (TWASoC). In recent years the phrase "Terms Without Assignment Semantics - Uther Kendal" (TWASUK), has been used to describe a person who would use TWAs as a matter of course. For example a Twasuk would say: "The management have brown bagged it and now have the vision to leverage the process before it wheel spins into an underpants wave" HHHPP for now Albert
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