 is divergent by arguing that this series consists of an infinity of parts that are greater than \(1/2\), so that the whole is infinite. His demonstration rests on the fact that the third and the fourth term taken together \((1/3 + 1/4)\) are greater than \(1/2\), which also applies to the sum of the fifth through the eighth term \(1/5 + 1/6 + 1/7 + 1/8\), which is greater than \(4 \times 1/8\) and the sum of the ninth through the 16th term and so on (Oresme, loc. cit., Qu. 2, ll. 58–68).