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However, when one only considers the descriptive statistics, it seems that our results contradict the proposition that overall HRQOL is equally compromised in children with mental and physical health problems [ 8].
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This contradicts the proposition that h(2) ≤ 0.
However, by the inductive assumption ei1 ≤ i1 and ei2 ≤ i2, which contradicts the proposition i < ei.
None of this contradicts the proposition that SGA rates, which increase with advancing gestation under the fetuses-at-risk model, will decline with a left-shift in the gestational age distribution.
While this finding appears to contradict the New Economics of Labor Migration proposition that migration income is used to compensate for labor shortfalls and make agricultural improvement (Stark 1991; Taylor 1999), it is not surprising given the low returns of smallholder farming and the devaluation of agriculture in rural migrant households' diversified livelihood strategies.
Hence, if one accepts the observation of a white raven here and now, then that negation of the negated observation statement contradicts the universal proposition in logical space, and falsification occurs" [ 24].
However, results showing counselees' disappointment about the amount of information received during counselling (Hallowell et al, 1997) and high expectations of having a DNA test carried out (Pieterse et al, 2005) while the availability of this option is limited, contradict this proposition.
The second proposition does not contradict the first, because some things get much better.
Although Proposition 4 appears to contradict the news commonly shown in the media, Fearon and Laitin (1996) show that interethnic cooperation is far more common that interethnic conflict.
The central prediction of the EAR hypothesis is that escapes from enemies trigger rapid radiations in prey lineages [ 3, 6, 8], but our phylogenetic results directly contradict this proposition.
We will explicitly pursue negative cases ('elements in the data that appear to contradict the emerging view') (ref. 50, p. 51) to enhance the validity of our developing propositions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com