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The Cheney thesis: If the preceding argument is too nihilistic for your tastes, by all means ignore it and take the White House deficit projections seriously.
We may therefore repeat the preceding argument for v N−2 and so forth.
Replacing by in the preceding argument, we obtain that the sequence is nonincreasing and hence converges.
The last assertion of this theorem follows easily from the preceding argument.
So Remark 5.3 can replace (Janson and Tysk 2004, Theorem A.7) in the preceding argument.
(1) Callicles' critique of conventional justice emerges from his diagnosis of Polus' failure in the preceding argument.
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The preceding arguments for precedent presuppose that decision-makers can correctly ascertain the merits of the cases before them, but law of course operates under non-ideal conditions where decision-makers make mistakes and disagree among themselves about the merits of cases.
The preceding arguments occupy only the first six of the 27 chapters in Natural Theology.
We replace (M_{n}) by (-m_{n}) in the preceding arguments, and we also get a contradiction.
First, by the preceding arguments, BSDE (2) on [t n−1,t n ] with terminal condition ξ is well-posed and we denote the solution by (Y n,Z n ).
From the preceding arguments by the Buddhist philosophers Dharmakīrti, Śāntarakṣita and Kamalaśīla it becomes clear that Buddhist philosophers do not operate with the psychological category "emotion"; at least not in the way that other Indian (and Western) philosophers do.
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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