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Formal Sciences
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--- IN CHAPTERS (in Dictionaries, in Quotes, in Chapters)


   1 Philosophy

1.03_-_.REASON._IN_PHILOSOPHY, #Twilight of the Idols, #Friedrich Nietzsche, #Philosophy
  end. What remains is abortive and not yet science--that is to say,
  metaphysics, theology, psychology, epistemology, or Formal Science, or
  a doctrine of symbols, like logic and its applied form mathematics.

3-5_Full_Circle, #unset, #Sri Aurobindo, #Integral Yoga
  We do, of course, "need a background language," as Quine says, "to regress into." And here again the question arises, "Are we involved now in an infinite regress?" He answers it thus: "If questions of reference of the sort we are considering make sense only relative to a background language, then evidently questions of reference for the background language make sense only relative to a further background language. In these terms the situation seems desperate, but in fact it is little different from questions of position and velocity. When we are given position and velocity relative to a given coordinate system, we can always ask in turn about the placing of origin and orientation of axes of that system of coordinates; and there is no end to the succession of further coordinate systems that could be adduced in answering the successive questions thus generated." p. 49.46
  This is the unsatisfactorily incomplete kind of answer to which one-field specialization in Formal Science leads. Immediately, therefore, Quine relates it to other parts of the System-hierarchy.
  "In practice of course we end the regress of coordinate systems by something like pointing." And that something is mapping: equating origin and axes to empirical phenomena which are, of course, hierarchically organized. "And in practice," Quine goes on, "we end the regress of background languages, in discussions of reference, by acquiescing in our mother tongue and taking its words at face value." Once, that is, the concepts of these words' denotata have been organized System-hierarchically, as they are in Unified Science.

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