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Your question doesn´t ask for a quantified answer.
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Kripke's 1959 "A Completeness Theorem in Modal Logic" contains a model theoretic completeness result for a quantified version of S5 with identity.
The quantified answers were then subjected to statistical analysis.
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A study of fragments in a quantified manner could provide an answer to these kinds of questions.
This is because the standard semantics for quantification is objectual: A quantified sentence ∃xΦx is true just in case there is an object that Φx is true of.
For a slightly longer answer, read on.
This paper proposes a quantified model for local and overall thermal sensations in non-uniform thermal environments.
The lack of a quantified framework for comparing and analyzing mouse cranial shape has been a problem.
A quantified parametric study for the heat transfer acting on a hypersonic blunt body with counterflowing jets is presented.
In fact, this methodology provides a quantified decision-based plan for minimizing risk in oil reservoirs (Kloosterman et al. 2008).
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