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There is no compelling reason for mathematicians to use a different foundation than ZFC; but there is a good reason for mathematicians who have occasion to think about foundations to be aware that there are alternatives; otherwise there is a danger that accidental features of the dominant system of set theory will be mistaken for essential features of any foundation of mathematics.
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These registries tend to have different foundation breeding and histories than the North American Appaloosa.
The tech industry is built on a different foundation.
Take all the different foundations you have and place a dab of the same type on a different foundation applicator.
In a new report published as part of the Bellagio Initiative (a Rockefeller Foundation-funded scheme looking at the future of philanthropy and international development in the pursuit of human wellbeing), I argue that an "ecosystem" of different foundations and funding styles will meet future challenges much more effectively than a "monoculture".
More than a decade has passed since the first battle over web formats, back then it was Microsoft, Netscape, Apple, AOL and others laying different foundations in the form of browsers, scripting languages, web servers and more.
Some 11 different foundations are funding the project.
And, they argue, the scholarship program is not discriminatory because it is open to all kinds of schools that might have different philosophical foundations than state-run public schools.
Named for its two founding brothers, the Bradley Foundation attracts less attention than the half-dozen different family foundations controlled by the better-known billionaire Koch brothers, Charles and David.
My colleagues and I may also have different financial foundations.
While the founders' families carry great influence, some important shareholder advisers say the family foundations may have different interests than other shareholders.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com