What major accomplishments did James Madison have that made him a good choice to be President next ?

He created the basic framework for the U.S. Constitution and helped write the Bill of Rights.

Explanation:

James Madison created the basic framework for the U.S. Constitution and helped write the Bill of Rights. He is therefore known as the Father of the Constitution. He served as the fourth U.S. president, and he signed a declaration of war against Great Britain, starting the War of 1812.

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powers  are  denied  to the  national governmentin three distinct ways: some  powers, such as the  power  to levy duties on exports or prohibit the freedom of religion, speech, press, or assembly, are expressly  denied  to the  national government  in the  constitution.