Based on the clue 'cartesian refers to the ideas of this man the fath...', what is the answer?

What is associated with: carte is french for map this is the french explorer who in 1535 put mount royal on the map? What is referred to by 'carters body shaking dances'? Based on the clue 'carters grove a magnificent plantation home is jus...', what is the answer? What is referred to by 'carters short golf putts'? Based on the clue 'cartesianism based on mathematical principles come...', what is the answer? Based on the clue 'cartesianism is named for this 17th century french...', what is the answer? Based on the clue 'carthage has almost been destroyed you can find wh...', what is the answer? Based on the clue 'carthage once controlled this sicilian city known ...', what is the answer?