Local-global Principle
Generally speaking, the term "local to global" refers to the idea that a global problem is first done at a local level, which tends to simplify the questions. Then, of course, the information gained in the local analysis has to be put together to get back to some global statement. For example, the notion of sheaves reifies that idea in topology and geometry.
Read more about this topic: Algebraic Number Field
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“We seem to be pariahs alike in the visible and the invisible world, with no foothold anywhere, though by every principle of government and religion we should have an equal place on this planet.”
—Elizabeth Cady Stanton (1815–1902)