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.
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.
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.
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.
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.
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).
We investigated oxidative damage to DNA and related repair capacity in peripheral blood mononuclear cells (PBMCs) during controlled exposure to urban air particles with assignment of number concentration (NC) to four size modes with average diameters of 12, 23, 57, and 212 nm.
In particular, many different assignments of numbers to alternatives can give rise to the same orderings.
An unbiased, confidential patient randomization list was produced by the IVRS/IWRS provider using a validated system that automated the random assignment of patient numbers to randomization numbers.
However, the assignment of paralog numbers in one organism should be consistent with paralog numbers in related organisms if unique orthologies are clear.
