墨家和名家是先秦最具思辯的兩大學派，他們豐富的無限思想表現出很高的智慧。本文祇著重討論他們對不臺分量是否臺積的問題上，二家各有異同。墨家譇同空間不臺分量的臺積性，名家則對此持否認態度，但他們都認同時間不臺分量的臺積性。墨家有無限分割最後會達到一個不臺分的境地的思想，名家則有分割過程沒有完結的思想。墨家意識到運動物體在同一時刻的行和駐存在著矛盾，他們採取迴避的態度，實際還是認為物體是運動的。名家清晰地揭露了這種矛盾，但採取強行調和的態度。墨家和名家把時間段上移動位移的運動概念照搬到時點的運動上來，遠未建立起瞬時速度的概念，因此他們祇是揭露了矛盾而未能解決矛盾。本文還分析了墨、名二家的這種思想與社會背景的關係。

　　　　　Among the Various Schools of the pre-Qin period, the Mohists（墨家）and Logicians（名家）were the most speculative, with their ideas of indivisibility and motion demonstrating a high level of sophistication. This paper discusses these ideas in-depth, holding that both the Mohists and Logicians possessed a concept of the indivisible, and believed that indivisible, and believed that indivisible time was summable. While the Mohists held that indivisible space was summable, the Logicians did not. Moreover, while the Mohists believed that infinite successive divisions would produce an indivisible entity, the Logicians felt that such a procedure would continue without end. The Mohists realized the contradiction between the motion and rest of a moving object at the same moment, and chose to avoid this issue. Although the logicians exposed this contradiction, they themselves came to a forced compromise. Because both the Mohists and Logicians indiscriminately applied the concept of motion in terms of an interval to motion, in terms of a moment they remained far from establishing the concept of instantaneous velocity. They are therefore only able to expose the above contradiction, but not solve it. Finally, this paper explores the relationship between the idea of the Mohists and Logicians and the social environment of their times.