Please notice that the map was published in 1904, just before the incorporation of Liancourt Rocks (Takeshima) to Shimane prefecture of Japan, and four years after the Korean Edict #41. This is just an example of how the people of the world, especially international merchants and businessmen, looked at Japan and the islands in the Sea of Japan in those days.
Liancourt Rocks can be seen as Japanese territory. [Please click the left map to magnify] Also Taka Island (Argonaut island, a phantom island) and Matsu Island (Dagelet island, true Ulleungdo) were shown as Japanese territory. Although Matsu Island (Ulleungdo) was maistakenly depicted as Japanese island, maybe because of its Japanese name, it is important to know that Liancourt Rocks were not recognised as Korean territory. The same goes for many other western maps, I haven't seen a western map at all that depicted Liancourt Rocks to be Korean territory in late 19th century or in early 1900's. It maybe because it was a common sense in the world in those days that Korean eastern limit was Ulleungdo. It was also a common sense to Korean people as various geographical books, including Korean books, show.
So the Korean claim that they had Liancourt Rocks (Dokdo) before Japan's incorporation can't be true. Logical thinking may bring us to the conclusion that Seokdo in the 1900 Edict was not Dokdo.