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The second incompleteness theorem, on the other hand, must have surprised Brouwer, given his optimism in the 1920s about the formalist school achieving its aim of proving the consistency of formalized classical mathematics (see the quotation at the beginning of this subsection).
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With the aim of proving its effectiveness, two different stabilization controllers (PID and H∞) are presented.
With the aim of proving its efficiency, a wide collection of six illustration examples, concerning both analytical and FE-based problems, was selected.
He has taken charge at Kenwood with the aim of proving that the old principles still work, especially when combined with a few from America.
The Labour government has built an elaborate edifice of targets and monitoring, with the aim of proving that higher spending on public services has been good value for money.
One Russian who claimed to be involved in the violence told Agence France Presse that about 150 of the "strongest" Russian hooligans had flown into Marseille with the specific aim of proving to the England fans the Russians were the stronger fighters.
In 1903 G.E. Moore presented in Principia Ethica his "open-question argument" against what he called the naturalistic fallacy, with the aim of proving that "good" is the name of a simple, unanalyzable quality, incapable of being defined in terms of some natural quality of the world, whether it be "pleasurable" (John Stuart Mill) or "highly evolved" (Herbert Spencer).
Bank bonds have also fared well in recent weeks and Bank of America, Citigroup and others have sold billions in new bonds with the aim of proving their financial health or paying back Treasury funds.
For example, HRMAS NMR-based metabolomics was applied with the aim of proving the different compositional qualities of three potato cultivars grown under either conventional or organic system [36].
He is said to have painted Sigismunda mourning over the Heart of Guiscardo with the aim of proving that he could equal works of the "Old Italian Masters", and intending the painting to be one of his masterpieces.
In the name of saving planet Earth, I decided to minimise my plastic footprint every way possible for a week, with the aim of proving that we can all do our bit without having to move to a solar-powered cabin in the Peak District to wear one pair of Crocs for the rest of our lives.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com