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An observation that very nearly agrees with prediction, but not quite, does not necessarily show the initial supposition to be mistaken.
There's a logical thing called reductio ad absurdum, which a lot of mathematical proofs come down to – you take an initial supposition and then you just see how that leads to a contradiction.
This result corroborates our initial supposition about the presence of a QD underneath each of the surface mounds.
This demonstrates the benefits of the XFEM technique as a predictive methodology under multiaxial loading without any initial supposition of the crack location and its posterior path direction.
But if the subject asserts "P but I don't believe that P" in such cases, she does not (contra the initial supposition) really have a rational command of the nature of belief and assertion; and thus it's not a genuine case of self-blindness as originally intended.
The first hour of "This Is Us" follows each of these stories through a series of next steps — Rebecca goes into labor; Kate joins a weight-loss support group; Randall, having finally located his birth father, confronts him; and Kevin turns his midlife moment into a full-blown career crisis — before twisting up another kind of response to the initial supposition about shared birthdays.
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In one surprising finding that challenged some of the survey's initial suppositions, the authors found limited stress related to a unique aspect of the operators' jobs: watching hours of close-up video of people killed in drone strikes.
Since, by the initial suppositions, u θ → u 0 in L ∞ as θ → 0, we immediately arrive at the following consequence of Lemma 6.1.
And while the inexactitude of intuition simply means it cannot be relied upon alone as a source of reaching any conclusion, this means that all initial suppositions, theories, and hunches must be tested by logic and analysis of facts, not that it must be removed altogether from our processes of deduction.
First, in the initial survey the supposition of preferential self-selection of those troubled by headache might have been incorrect: it seemed likely, but had no empirical basis.
Given these suppositions, our initial expectation would be that all of creation, animate and inanimate, is ordained to perfect good: that as creator God pitches his efforts, which none can resist, toward accomplishing the greatest good imaginable, and hence that the world in which we find ourselves is, as Leibniz put it, the best of all possible worlds.
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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