I plan on traveling to Taiwan soon. Trying to understand the scope of the travel ban. Flights have not been cancelled.
The current Corona Virus related travel bans affect mainland China only, NOT including Hong Kong and Taiwan.
For the purposes of travel advice, the Department Of State treats China, Hong Kong and Taiwan as 3 separate entities. At the time of writing, the currently threat levels for these 3 are :
Taiwan - Level 1 : Exercise normal precautions (Last Updated January 2019)
Hong Kong - Level 2 : Exercise Increased Caution (Last updated January 31, 2020 and specifically referecing CoronaVirus)
China - Level 4 : Do Not Travel (Last Updated February 2, 2020)
The Department of State says not to travel to "China." Of course, Taiwan is part of China, according to both the PRC and one major political faction in Taiwan. Since State does not officially recognize Taiwan, it's hard to say whether that policy includes the island.
On the other hand, their Taiwan page says to exercise normal precautions only.
EDIT: another answer says Taiwan is NOT included: What are the current travel restrictions on individuals entering the United States from regions affected by novel coronavirus?
Edit the second: The CDC is now (4 February 2020) specifically excluding Taiwan (and Macau and Hong Kong) from no-travel recommendations: https://wwwnc.cdc.gov/travel/destinations/traveler/none/china#travel-notices