The passage discusses three progressive US presidents from the early 20th century: Theodore Roosevelt, William Howard Taft, and Woodrow Wilson. Theodore Roosevelt became president in 1901 after McKinley's assassination and believed in a strong, active federal government to protect people from big business. He took actions like intervening in a coal strike and suing monopolies under the Sherman Antitrust Act. Woodrow Wilson defeated both Roosevelt and Taft in the 1912 election by advocating for restoring competition through government intervention in business.