On the Scales of Measurement

@inproceedings{Narens1976OnTS,
  title={On the Scales of Measurement},
  author={Louis Narens},
  year={1976}
}
Let .$‘= (X, >,R,,R, ,...) b e a relational structure, (X, >) be a Dedekind complete, totally ordered set, and n be a nonnegative integer. Z is said to satisfy n-point homogeneity if and onlyifforeachx ,,..., xn,y ,,..., y,suchthatx,>x,>... >x,andy,>y,>... >y,,there exists an automorphism a of .% such that (I(x,) = y,. .K is said to satisfy n-point uniqueness if and only if for all automorphisms p and y of K, if /3 and y agree at n distinct points of 3, then /I and y are identical. It is shown… CONTINUE READING

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