1
According to your first false claim, you just insist that "Japanese people have long recognized and used Takeshima."
THE TRUTH IS
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.
Meanwhile, there are a number of old Japanese maps published by the Japanese government, including The Chosen Tokai Kaiganzu (¡°A Map of the Eastern Coast of Korea,¡± 1876), which was published by the Japanese Ministry of the Navy, that places the two islands within Korea¡¯s territory.
Since 1696, when the Tokugawa Shogunate officially banned Japanese fishermen from crossing the East Sea to Ulleungdo Island, Japanese people gradually became confused about the two islands, and not only did they refer to the islands in several different names such as Matsushima, Riyanko Island , Ranko Island , and Takeshima (but also was the islands¡¯ geographic location completely forgotten in the end.
One can safely conclude that Korea recognized Dokdo's existence as early as when Ulleungdo was first inhabited, because in fair weather, Dokdo is within easy range of the naked eye from Ulleng do. Thus, such recognition enabled many government documents published during the Joseon period to contain a clear description of Dokdo: Sejong Sillok Jiriji The records of Dokdo in the latter two documents, Dongguk Munheon Bigo (1770) and MangiYoram (1808), present a particularly clear description stating: ¡°Ulleungdo and Usando are lands of Usanguk [or the State of Usan], and Usando is the island that Japanese call Songdo [i.e. Matsushima].¡± No other record of this period contains a clearer statement which shows that Usando is an old name of Dokdo.
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.
Although some old maps made in Korea may not fully capture the exact size and location of Dokdo—largely due to a lack of advanced cartographic techniques - this is insufficient to prove that Korea did not recognize the existence of Dokdo at this time. Almost all old Korean maps, made either in private or public, include the two islands Ulleungdo and Dokdo in the East Sea, showing that Korean people in the past clearly recognized the existence of both islands.
2
The next your false clam is that "In 1905, Japan Incorporated Takeshima into Shimane Prefecture."
THE TRUTH IS
It is farfetched logic and self-contradictory for Japan to argue that they reaffirmed the incorporation of Takeshima into its territory in 1905, while also maintaining that the island has always been Japan's territory. For such an argument to be even slightly plausible, Japan should have taken same measures in reaffirming its sovereignty over the rest of its entire territory as well. Korea took action as soon as it was informed about Japan's maneuvers and reaffirmed that Dokdo was Korea's territory (1906). However, Korea was not able to lodge a diplomatic protest due to the Japanese Protectorate Treaty of 1905, which deprived Korea of its diplomatic rights. Japan tried to explain the 1905 incorporation of Dokdo in that the island was terra nullius (¡°empty land¡±), but the excuse was later changed to the ¡°reaffirmation of the intention to take possession,¡± again revealing that Japan's grounds for its assertion was weak indeed.
Records show that a Japanese seal fisherman named Nakai Yosaburo, fully aware that Dokdo was Korea's territory, planned to petition to the Korean government, for exclusive rights to fish and hunt sea lions in the Dokdo area. The fisherman was later persuaded to change his mind by Japanese officials in the Ministry of Navy and the Ministry of Foreign Affairs, to instead submit a formal request to the Japanese government to incorporate the island into Shimane Prefecture as part of its territory. Meanwhile, another Japanese official (Inoue) in the Ministry of Internal Affairs opposed the idea by stating: ¡°If we incorporate the useless rocks that are currently deemed as Korea's land, it will surely raise doubts among foreign states watching us, leading them to believe that Japan plans to annex Korea¡±.
The Korean Imperial Ordinance No. 41 issued in 1900 is clear evidence that Korea had effective control over Dokdo. Considering the geographical conditions surrounding Ulleungdo and the everyday life of Ulleungdo islanders who called Dokdo as Dokseom (or Dolseom, both literally meaning ¡°rocky island¡±), there is no doubt that the name ¡°Seokdo¡± (literally ¡°rocky island¡±) in the Ordinance refers to Dokdo. As clearly shown by an Ulleungdo settler (Hong Jae-hyeon)¡¯s testimony in 1947 and incidents such as the 1948 Bombing of Dokdo, Dokdo had been and continued to be an important fishing ground for the Ulleungdo residents before and after 1905.
3
Finally I'd like to say the background about the below.
"In the San Francisco Peace Treaty Ii was confirmed that Takeshima was part of Japan."
THE TRUTH IS
Initially, the US recognized Dokdo as Korea¡¯s territory, and the temporary change in US's position was only due to strategic lobbying by Japan. Japan has failed to show logical consistency in its assertion that Dokdo, of which there is no provision in the San Francisco Peace Treaty, should be Japan's territory, while at the same time refusing to accept the Kuril Islands (or ¡°Four Northern Territories¡± as they are called by Japan) as Russian territory, although the islands are clearly acknowledged as such in the Treaty of Peace with Japan.
The General Headquarters of the Allied Powers, during its occupation of Japan, applied Directive SCAPIN-677 without issuing any other specific orders, and the Japanese government also acknowledged, after the ratification of the San Francisco Peace Treaty, that Dokdo was excluded from its jurisdiction. In October 1951, the Japanese government submitted to the House of Representatives, the Map of Japanese Territory, drawn according to the San Francisco Peace Treaty. In this map, Dokdo lies outside the line marking the boundary of Japanese territory, showing that the island is not Japanese territory.
The Allied Forces' decision to exclude Dokdo from Japan's territory between World War II and the conclusion of the San Francisco Peace Treaty was part of postwar measures to implement the results from the Cairo Declaration (1943) and the Potsdam Declaration (1945). In conclusion, Dokdo was rightly included as an area Japan should relinquish because it was Korea's territory, which Japan usurped through violence and for greed during the Russo-Japanese War, which heralded the start of Japan's full-scale land-grabbing war. After the war, Dokdo was separated from Japan, according to the Allied Powers' decision, to be under the US Forces' rule, until the island along with numerous other islands, in accordance to a UN resolution, was handed over to the Government of Korea which was established on August 15, 1948. The San Francisco Peace Treaty merely confirmed these facts.