Question

the american concept of democracy rests on these basic notions:
a recognition of the fundamental worth and dignity of every person; what does it mean?
a respect for the equality of all persons; what does it mean?
a faith in majority rule and an insistence upon minority rights; what does it mean?
an acceptance of the necessity of compromise; what does it mean?
an insistence upon the widest possible degree of individual freedom, what does it mean?

Explanation:

The problem is about the American concept of democracy and its basic notions, which falls under the subfield of Politics (within Social Science). To explain one of the notions, for example, "A recognition of the fundamental worth and dignity of every person" means that in American democracy, each individual is seen as having inherent value and a right to be respected, their opinions and well - being matter, and policies and social interactions should reflect this respect for every person's dignity, regardless of their background.

Answer:

Taking "A recognition of the fundamental worth and dignity of every person" as an example, it means that every individual is regarded as having inherent value and a right to be respected. Their ideas, well - being, and human dignity are considered important, and this should be reflected in social, political, and personal interactions, as well as in the formulation of policies. (If you want explanations for other notions, a similar approach of analyzing the inherent meaning of valuing individuals, equality, majority - minority balance, compromise, and individual freedom can be used.)