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BIBLID 0254-4466(2001)19:1 pp. 47-75 19 1 90 6 * 47

48 19 1 1 6 86 7 36 2 53 6 2 3 4 1 1991 717 2 1990 1736-1738 3 1997 46-50 3 1998 29-37 4 1996 59-80

49 5 43 6 7 8 9 5 6 1992 1987 7 194 206 8 1923 25-26 9 122-123

50 19 1 10 11 12 1. 61 13 14 15 16 10 1941 21 11 1981 19 12 13 191 208 14 12 13-14 15 40 1997 19-21 16 1958 64

51 17 18 19 2. 60 20 17 18 19 10 1 1991 29-34 1995 185-194 20 199 229 86

52 19 1 21 3. 69 22 23 24 21 22 192 209 23 192-193 24 152

53 25 26 27 28 29 30 25 1983 177-178 26 1992 112-113 27 1988 299 28 1979 31-32 29 299 30 1 1962 236

54 19 1 31 32 33 34 35 36 31 238 32 1975 3 180-208 33 7 34 1994 2-3 35 36 36 1983 22

55 37 38 39 4. 37 196 216 114 38 1985 40 39 1983 2 1992 44-52

56 19 1 40 1. 16 41 50 42 40 1995 158 41 199 218 42 190 207

57 43 44 43 1962 148-149 44 25-26

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59 2. 47 46 47 48 49 dí 50 51 ˆ 46 194 207 47 290-291 48 49 106-107 50 dí dl 51 192

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61 59 60 61 62 63 59 1992 256-267 60 258-260 61 14 1 1995 12-21 62 1991 475-480 63 480

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63 71 72 73 74 75 76 77 78 71 473 1991 221 72 1985 283 73 1991 220 74 272 75 2 1992 167-192 1996 51-58 76 1875 77 1998 2 28-30 1998 342-345 78 1986 22

64 19 1 79 80 81 2. 82 83 84 79 2 1982 268-269 80 12 1984 64-66 81 12 1984 73-74 82 476 83 1948 132 84 133

65 85 3. 86 87 85 20 86 476 87 2 1992 152

66 19 1 88 1. 89 90 88 477 89 479 90 Antiphon 5 John Fauvel and Jeremy Gray, The History of Mathematics: A Reader, pp. 87-88.

67 2. 91 92 93 94 91 479 92 479 93 1991 165 94 866

68 19 1 95 96 97 95 1589 96 1991 187 97 1 1961 187

69 98 99 100 101 102 98 1991 137-139 99 187 100 1994 1 1992 344-358 4 1994 411-418 6 1995 80-85 10 1996 267-277 278-288 289-299 101 139 102 141-142

70 19 1 3. 103 103 478

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75 Ideas of Indivisibility and Motion among the Chinese Mohists and Logicians Dahai Zou Abstract Among the Various Schools of the pre-qin period, the Mohists ( ) and Logicians ( ) 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 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 ideas of the Mohists and Logicians and the social environment of their times. Keywords: pre-qin philosophy, Mohists, Logicians, indivisibility, motion * Dahai Zou is an associate research professor at the Institute for History of Natural Sciences, Chinese Academy of Sciences.