Consider any probability function over the sentences of this argument which assigns non-zero probability to the antecedents of all conditionals — that is, any assignment of numbers to the non-conditional sentences which conforms to the Partition Principle, and to the conditional sentences which conforms to Supp's thesis: p(B if A) = pA(B) = p(A&B)/p(A).
Axioms of order ensure that the order imposed on objects by the assignment of numbers is the same order attained in actual observation or measurement.
As long as the assignment of numbers to objects is performed in accordance with concrete and consistent rules, Stevens maintained that such assignment has empirical meaning and does not need to satisfy any additional constraints.
So, if KS want to show that, for a specific set of n orthogonal triples in H3 (where n is a natural number), an assignment of numbers {1, 0, 0} to every one of them is impossible, it is enough for them to show that, for a specific set of n orthogonal triples in R3, an assignment of numbers {1, 0, 0} to every one of them is impossible.
What KS now shows is that, for a specific finite set of orthogonal triples in H3, an assignment of numbers {1, 0, 0} to every one of them (matching in common rays) is impossible.
Such assignment of numbers to sensations counts as measurement because it is consistent and non-random, because it is based on the matching operations performed by experimental subjects, and because it captures regularities in the experimental results.
Hence, the assignment of numbers to LPA GPCR beyond LPA5 has been arbitrary and confusing.
[ 46] Authors have noted differences in the relation between probabilistic thinking and assignment of numbers,[ 47] differences in acquiescent responses,[ 48] and differences in language use[ 49] across Hispanics, Caucasians, and other minorities.
An instrument was defined as a systematic procedure for the assignment of numbers to aspects of objects, events or persons as indicated by its construction, administration and scoring procedure according to prescribed rules [ 11].
We also established confident assignment of number and type(s) of modification to explain observed mass shifts in an additional 239 MS/MS spectra (i.e., ~6% of modification-containing spectra); however site(s) of modification could not be unambiguously derived from spectral evidence (Additional file 3 Table S5C).
