Lotze's first essay was his dissertation De futurae biologiae principibus philosophicis, with which he gained (1838) the degree of doctor of medicine, after having only four months previously got the degree of doctor of philosophy.
His doctor's dissertation, De computandis occultationibus fixarum per planetas (Leipzig, 1815), established his reputation as a theoretical astronomer.
P. Lange's dissertation Chaucer's Einfluss auf die Originaldichtungen des Schotten Gavin Douglas (Halle, 1882) draws attention to Douglas's indebtedness to Chaucer.
See James Mackintosh, Dissertation on the Progress of Ethical Philosophy (Edinburgh, 1832); and specially Sir Leslie Stephen, English Thought in the 18th Century, iii.
In 1727 he gained the prize given by the Academie des Sciences for his paper "On the best manner of forming and distributing the masts of ships"; and two other prizes, one for his dissertation "On the best method of observing the altitude of stars at sea," the other for his paper "On the best method of observing the variation of the compass at sea."