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This is philosophically unsatisfying to some and has motivated additional work in set theory and other methods of formalizing the foundations of mathematics such as New Foundations by Willard Van Orman Quine.
New foundations providing supplemental funding (such as Egyptian-Swiss Development Fund and Ford Foundation) were approached to start an invigoration program of the area of Darb-al-Ahmar and continue the flux of the program.
David Hestenes: New Foundations for Classical Mechanics (Second Edition).