Were Carl Linnaeus and Johann Wolfgang von Goethe alive at the same time?
Yes. Carl Linnaeus and Johann Wolfgang von Goethe were alive at the same time for 28 years, from 1749 to 1778.
Carl Linnaeus was 42 when Johann Wolfgang von Goethe was born.
Johann Wolfgang von Goethe was 28 when Carl Linnaeus died, aged 70.
Carl Linnaeus
Swedish botanist, physician, and zoologist (1707–1778); developed the foundations of modern taxonomy
Born 23 May 1707 · died 10 January 1778, aged 70
Johann Wolfgang von Goethe
German writer, artist, natural scientist and politician
Born 28 August 1749 · died 22 March 1832, aged 82