I have several reasons why the names ¡®Takeshima¡¯ is wrong.
First, even an important Japanese document on the An Yong-bok Incident, ¡°One-volume Memorandum Concerning the Korean Boat that Came Alongside the Pier in the 9th Year of Genroku,¡± which was discovered in Oki Island in 2005, also clearly shows that Ulleungdo and Dokdo were islands under the jurisdiction of Gangwon-do (or Gangwon Province) of Joseon(the name of Korea from 1392 ~ 1894).
Second, In the original edition of The Revised Complete Map of Japanese Lands and Roads, which is a map privately made in 1779, Ulleungdo and Dokdo are uncolored as is the Korean Peninsula. Also, the two islands are located outside the grid of Japan¡¯s longitudinal and latitudinal lines, indicating that the islands are outside of Japanese territory.