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Under this interpretation, an instance of the optimization problem thus asks us to find the shortest tour by which all of the cities can be visited exactly once.
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Another problem is that even if spacetime were large enough to provide either a model for a literal interpretation of set theory or an instance for its structural interpretation, this would be a contingent fact about our universe.
Both Carnap (1961) and Lewis (1970) interpret theoretical terms indirectly simply because any definition is an instance of an indirect interpretation.
It is an instance of the no-counterexample interpretation by Kreisel [16, 17].
So let ◇∃xφ → ∃x◇φ be an instance of BF and I be an arbitrary interpretation.
That left room for interpretation: for instance, arranging the stars to form a star, zigzag or spiral pattern.
He remained clear about how we should understand ordinary statutory interpretation, for instance, where the legislature has directed that an applicant should have a "reasonable time" or that a regulator may permit only a "fair price:" these grant a bounded discretion to decide the cases on their merits.
On Strawson's interpretation, for instance, "the fact that my experience is of a unified objective world is a necessary consequence of the fact that only under this condition could I be conscious of my diverse experiences as one and all my own" (1966: 94).
Physics, as a standard bearer of unity both material and formal, has been defended as the natural domain of validity of the explanatory interpretation (for instance, in Wayne 1996).
Additionally, (Roberts et al. 2001; McArdle and Epstein 1987; Reips and Funke 2008) (Dawes (2012) (Dawes et al. 2002; Sparks et al. 2006) (Friedman and Amoo 1999; Allen and Seaman 2007) have found that grammatically balanced Likert scales are often unbalanced in interpretation; for instance, 'tend to disagree' is not directly opposite 'tend to agree'.
The discrepancies were limited to those features that were open to interpretation, for instance, the disciplines of the applicants were sometimes not clear from job titles as an indication of specialism.
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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