That's partly true. The PRC and the Guomindang (the Nationalist Party) of the ROC both officially claim that they should be ruling all of China, but the Minzhujinbudang (the Democratic Progressive Party) of the ROC views Taiwan as having developed its own culture and identity that's distinct from Chinese, and they don't try to claim ownership of or any relation to the mainland. And in English the phrase "Taiwan, China" really means 中国台湾 and not 中华台湾, i.e. "China" there refers to the PRC rather than the land of the Chinese people. So both parties in the ROC reject the phrase "Taiwan, China."
Comments
That's partly true. The PRC and the Guomindang (the Nationalist Party) of the ROC both officially claim that they should be ruling all of China, but the Minzhujinbudang (the Democratic Progressive Party) of the ROC views Taiwan as having developed its own culture and identity that's distinct from Chinese, and they don't try to claim ownership of or any relation to the mainland. And in English the phrase "Taiwan, China" really means 中国台湾 and not 中华台湾, i.e. "China" there refers to the PRC rather than the land of the Chinese people. So both parties in the ROC reject the phrase "Taiwan, China."