What did Thomas Jefferson and Alexander Hamilton begin disagreeing about in ,like, 1889?

Jefferson and Hamilton had been dead for many years by 1889. For information about their disagreements starting about 1789, check out these sites.

http://www.wccusd.k12.ca.us/elcerrito/history/jeff&ham.htm

http://www.let.rug.nl/usa/H/1994/ch4_p8.htm

I apologize for the confusion, but it seems there was a mistake in your question. Thomas Jefferson and Alexander Hamilton were prominent figures in American politics during the late 18th century, not in 1889. They had significant disagreements on various issues during that time.

If you are interested in learning about their disagreements starting around 1789, I suggest checking out the following websites:

1. The El Cerrito history website: http://www.wccusd.k12.ca.us/elcerrito/history/jeff&ham.htm
This source provides some insights into the differences between Jefferson and Hamilton on issues such as the role of the federal government, the interpretation of the Constitution, and economic policies.

2. The Let.rug.nl website: http://www.let.rug.nl/usa/H/1994/ch4_p8.htm
This resource offers more information about the debates and conflicts between Jefferson and Hamilton, including their contrasting views on federal power, the national bank, and foreign policy.

By exploring these links, you will gain a better understanding of the disagreements and divergent perspectives that Jefferson and Hamilton had during the late 18th century in American politics.