Final answer:
Source 1 views the American and French revolutions as heralding a clear-cut shift to political modernity with lasting changes, while Source 2 sees the outcomes as more complex and less conclusive in establishing uniformity in citizenship and nationhood.
Step-by-step explanation:
One difference in the arguments expressed in the two sources regarding the effect of revolutions on the global political order is that Source 1 by Jürgen Osterhammel portrays the American and French revolutions as pivotal shifts towards a more modern political landscape, marking a permanent change from the old order. It emphasizes the emergence of political modernity, formal equality, and the accountability of those in authority to a community of citizens.
In contrast, Source 2 by Jane Burbank and Frederick Cooper suggests that while these revolutions were significant, the formation of new states and the concept of popular sovereignty did not uniformly lead to nations of equivalent citizens or a world of equivalent nations. This source points to a more complex and inconclusive impact of the revolutions, where sovereignty and individual rights were not necessarily becoming global norms.