Providence is regarded as the tutelage provided by a superior being, so to give people providence is taking care of them, it's providing for them;
Albert J. Beveridge has been an American imperialist, and as an US senator; he supported the annexation of the Philippines because he believed that part of "God's plan" is to carry civilization to the entire world, and that it's America's job to take care of what God has displayed or extended to. (in his case, the pacific)
The strategy of Providence (commanding the Pacific). surged regarding the Pacific is the ocean of the commerce, and with the Philippines, the American Republic would continue to be consolidated.