Periodization
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Rhode Island, New Hampshire, Delaware, New Jersey, Pennsylvania and Maryland did not have "from sea to sea" charters, and so had no claims to western lands.
The most important way in which the greeks influenced American democracy was by allowing citizens to participate in government.
All members of society both rich and poor except for women were able to participate in government. Ancient Greece was a model for the U.S. government, but the founders left a few things out.
Very significant aspects of the American political system (from popular referendums to secret ballots to jury duty) derive from ancient Greek precedents.