A two-party system refers to a party system where only two major political parties are dominating the race in government position. A multiparty system is where a number of political parties can participate in a national elections and have equal chances of gaining control in the government offices.
The US is currently using the two-party system where the house of representatives is composed of the democrats and republicans.
The ideas inspired Thomas Jefferson as he drafted the American Declaration of Independence was from John Locke's political theories about an elected government that was not based on heredity.
It was F. Scott Fitzgerald whom coined the term "Jazz Age"