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It served to clarify the relation between meaning (significatio) and reference (suppositio) by investigating the verification of propositions concerning empty classes.
In fact, the verification of propositions above can be found in pp.23-26 pp.23-26and pp.59-62 in [13].
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Figure 8 Verification of Proposition 1.
Since Proposition 1 holds no matter what v i (t) is and no matter where it is introduced, and the verification of Proposition 1 is independent of noise intensity v i, for simplicity, we set v i = 0.015 as a scalar for all i, and the noise term v i n i (t) is added to the first equation in (9), where n i (t) is a scalar Gaussian white noise process.
Thus, truth simply is the verification of a proposition, or the successful working of an idea.
However, we caution that although our study suggests great potential for the use of this assay for multiple species comparisons, validation of serologic responses across a range of vaccinated species (possibly using zoo collections) would provide more definitive verification of this proposition and should be prioritized.
They are supposed to be "directly capable of verification"—akin to propositions derived from laws of nature which can be checked by experiment (1928, 475).
ad (iii) Since the verification of condition (iii) in Proposition 2.4 is technically the most complicated, it will be split into two parts: (iii1) the quasi-compactness of the solution operator T m, (iii2) the condensity of T m w.r.t. the monotone and non-singular m.n.c.n.c
ad (iii) Since the verification of condition (iii) in Proposition 3.1 is technically the most complicated, it will be subdivided into two parts: (iii1) the quasi-compactness of the solution operator T, (iii2) the condensity of T w.r.t. the monotone and nonsingular (cf. Lemma 2.1) m.n.c.n.c
Concerned with problems of language and logic, Mansel discussed the verification of the meaning of different propositions and stressed the fundamental difficulty of arriving at particular truths.
Assertions had meaning in virtue of their verification conditions, and propositions were defined just as an equivalence class of sentences with the same verification conditions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com