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| Alphabetical [« »] but 658 but-not 1 by 236 c 783 ca 5 call 17 called 1 | Frequency [« »] 854 not 850 be 797 for 783 c 727 in 658 but 599 all | Aristotle Prior Analytics IntraText - Concordances c |
Book, Paragraph
1 I, 2 | be B. For if some A (say C) were B, it would not be 2 I, 2 | true that no B is A; for C is a B. But if every B is 3 I, 4 | predicated of all B, and B of all C, A must be predicated of 4 I, 4 | must be predicated of all C: we have already explained 5 I, 4 | predicated of no B, and B of all C, it is necessary that no 6 I, 4 | it is necessary that no C will be A.~But if the first 7 I, 4 | Let all B be A and some C be B. Then if "predicated 8 I, 4 | it is necessary that some C is A. And if no B is A but 9 I, 4 | And if no B is A but some C is B, it is necessary that 10 I, 4 | it is necessary that some C is not A. The meaning of " 11 I, 4 | is or is not A, and all C is B. As an example of a 12 I, 4 | ignorance. Again if no C is B, but some B is or is 13 I, 4 | e.g. if all B is A and some C is not B, or if not all 14 I, 4 | is not B, or if not all C is B. For the major term 15 I, 4 | no B be A, but let some C not be B. Take the terms 16 I, 4 | is indefinite to say some C is not B, and it is true 17 I, 4 | and it is true that some C is not B, whether no C is 18 I, 4 | some C is not B, whether no C is B, or not all C is B, 19 I, 4 | whether no C is B, or not all C is B, and since if terms 20 I, 4 | are assumed such that no C is B, no syllogism follows ( 21 I, 7 | some B, and B belongs to no C: for if the premisses are 22 I, 7 | converted it is necessary that C does not belong to some 23 I, 7 | if A and B belong to all C, it follows that A belongs 24 I, 7 | B, and B belongs to all C, A would belong to no C: 25 I, 7 | C, A would belong to no C: but (as we stated) it belongs 26 I, 7 | stated) it belongs to all C. Similarly also with the 27 I, 7 | to all B, and B to some C, it follows that A belongs 28 I, 7 | follows that A belongs to some C. For if it belonged to no 29 I, 7 | For if it belonged to no C, and belongs to all B, then 30 I, 7 | then B will belong to no C: this we know by means of 31 I, 7 | B, and B belongs to some C, A will not belong to some 32 I, 7 | will not belong to some C: for if it belonged to all 33 I, 7 | for if it belonged to all C, and belongs to no B, then 34 I, 7 | then B will belong to no C: and this (as we saw) is 35 I, 9 | taken as simply belonging to C: for if the premisses are 36 I, 9 | belong or not belong to C. For since necessarily belongs, 37 I, 9 | belong, to every B, and since C is one of the Bs, it is 38 I, 9 | Bs, it is clear that for C also the positive or the 39 I, 9 | were movement, B animal, C man: man is an animal necessarily, 40 I, 9 | B simply belong to some C: it is necessary then that 41 I, 9 | then that A belongs to some C necessarily: for C falls 42 I, 9 | some C necessarily: for C falls under B, and A was 43 I, 10| B, and simply belong to C. Since then the negative 44 I, 10| A. But A belongs to all C; consequently B is possible 45 I, 10| consequently B is possible of no C. For C falls under A. The 46 I, 10| is possible of no C. For C falls under A. The same 47 I, 10| if A is possible be of no C, C is possible of no A: 48 I, 10| is possible be of no C, C is possible of no A: but 49 I, 10| belongs to all B, consequently C is possible of none of the 50 I, 10| Neither then is B possible of C: for conversion is possible 51 I, 10| B necessarily, but to no C simply. If then the negative 52 I, 10| necessary, it follows that C necessarily does not belong 53 I, 10| necessarily belongs to no C, C will necessarily belong 54 I, 10| necessarily belongs to no C, C will necessarily belong 55 I, 10| Consequently it is necessary that C does not belong to some 56 I, 10| that it is possible for C to belong to all of it. 57 I, 10| let A be animal, B man, C white, and let the premisses 58 I, 10| A simply belong to some C. Since the negative statement 59 I, 10| it: but A belongs to some C; consequently B necessarily 60 I, 10| does not belong to some C, it is clear that B will 61 I, 10| will not belong to some C, but not necessarily. For 62 I, 11| let A and B belong to all C, and let AC be necessary. 63 I, 11| Since then B belongs to all C, C also will belong to some 64 I, 11| then B belongs to all C, C also will belong to some 65 I, 11| belongs necessarily to all C, and C belongs to some B, 66 I, 11| necessarily to all C, and C belongs to some B, it is 67 I, 11| some B also. For B is under C. The first figure then is 68 I, 11| if BC is necessary. For C is convertible with some 69 I, 11| belongs necessarily to all C, it will belong necessarily 70 I, 11| be necessary. Since then C is convertible with some 71 I, 11| necessarily belongs to no C, A will necessarily not 72 I, 11| B either: for B is under C. But if the affirmative 73 I, 11| affirmative is convertible, C also will belong to some 74 I, 11| to none of the Cs, while C belongs to some of the Bs, 75 I, 11| be "animal", let the term C be "horse". It is possible 76 I, 11| that B should belong to all C, and A falls under C, it 77 I, 11| all C, and A falls under C, it is necessary that B 78 I, 11| universal: for B falls under C. But if the particular premiss 79 I, 11| and let A belong to all C, not however necessarily. 80 I, 11| be waking, B biped, and C animal. It is necessary 81 I, 11| B should belong to some C, but it is possible for 82 I, 11| possible for A to belong to C, and that A should belong 83 I, 11| that A should belong to any C, but B belongs to some C, 84 I, 11| C, but B belongs to some C, it is necessary that A 85 I, 13| possible of the subject of C, and A is possible of the 86 I, 14| belong to all B, and B to all C, there will be a perfect 87 I, 14| may possibly belong to all C. This is clear from the 88 I, 14| and for B to belong to all C, then it is possible for 89 I, 14| possible for A to belong to no C. For the statement that 90 I, 14| and B may belong to no C, then indeed no syllogism 91 I, 14| that B should belong to no C, it is possible also that 92 I, 14| it should belong to all C. This has been stated above. 93 I, 14| if B is possible for all C, and A is possible for all 94 I, 14| for all B, and B for some C, then A is possible for 95 I, 14| then A is possible for some C. This is clear from the 96 I, 14| possibly not belong to some C, then a clear syllogism 97 I, 14| possibly may belong to some C, we shall have the same 98 I, 14| cover unequal areas. Let C be that by which B extends 99 I, 14| which B extends beyond A. To C it is not possible that 100 I, 15| and let B belong to all C. Since C falls under B, 101 I, 15| B belong to all C. Since C falls under B, and A is 102 I, 15| clearly it is possible for all C also. So a perfect syllogism 103 I, 15| A possibly belongs to no C.~It is clear that perfect 104 I, 15| of the syllogism. For if C is predicated of D, and 105 I, 15| predicated of D, and D of F, then C is necessarily predicated 106 I, 15| and B be possible for all C: it is necessary then that 107 I, 15| possible attribute for all C. Suppose that it is not 108 I, 15| assume that B belongs to all C: this is false but not impossible. 109 I, 15| then A is not possible for C but B belongs to all C, 110 I, 15| for C but B belongs to all C, then A is not possible 111 I, 15| that A is possible for all C. For though the assumption 112 I, 15| assuming that B belongs to C. For if B belongs to all 113 I, 15| For if B belongs to all C, and A is possible for all 114 I, 15| would be possible for all C. But the assumption was 115 I, 15| is not possible for all C.~We must understand "that 116 I, 15| possibly belongs to all C. These propositions being 117 I, 15| A possibly belongs to no C. Suppose that it cannot 118 I, 15| belong, and that B belongs to C, as above. It is necessary 119 I, 15| possible for A to belong to no C; for if at is supposed false, 120 I, 15| necessarily belongs to some C, but the syllogism per impossibile 121 I, 15| raven", B "intelligent", and C "man". A then belongs to 122 I, 15| But B is possible for all C: for every man may possibly 123 I, 15| necessarily belongs to no C: so the conclusion does 124 I, 15| be "moving", B "science", C "man". A then will belong 125 I, 15| but B is possible for all C. And the conclusion will 126 I, 15| B possibly belong to no C. If the terms are arranged 127 I, 15| that B is possible for all C, a syllogism results as 128 I, 15| may possibly belong to no C. Through the premisses actually 129 I, 15| may possibly belong to no C. Through these comes nothing 130 I, 15| assumed to be possible for all C (and this is true) and if 131 I, 15| B does not belong to any C, instead of possibly not 132 I, 15| possibly not belong to some C. For if the premiss BC is 133 I, 16| let B be possible for all C. We shall have an imperfect 134 I, 16| that A may belong to all C. That it is imperfect is 135 I, 16| necessarily belong to all C. We shall then have a syllogism 136 I, 16| that A may belong to all C, not that A does belong 137 I, 16| that A does belong to all C: and it is perfect, not 138 I, 16| let B be possible for all C. It is necessary then that 139 I, 16| then that A belongs to no C. For suppose A to belong 140 I, 16| suppose A to belong to all C or to some C. Now we assumed 141 I, 16| belong to all C or to some C. Now we assumed that A is 142 I, 16| supposed to belong to all C or to some C. Consequently 143 I, 16| belong to all C or to some C. Consequently B will not 144 I, 16| not be possible for any C or for all C. But it was 145 I, 16| possible for any C or for all C. But it was originally laid 146 I, 16| that B is possible for all C. And it is clear that the 147 I, 16| necessarily belong to all C. The syllogism will be perfect, 148 I, 16| supposed that A belongs to some C, and it is laid down that 149 I, 16| impossible relation between B and C follows from these premisses. 150 I, 16| For if A belongs to all C, but cannot belong to any 151 I, 16| So if A belongs to all C, to none of the Cs can B 152 I, 16| that B may belong to some C. But when the particular 153 I, 17| because it is not possible for C to belong to all D, it necessarily 154 I, 17| belong to no B and to all C. By means of conversion 155 I, 17| that B can belong to all C, no false consequence results: 156 I, 17| A may belong both to all C and to no C. In general, 157 I, 17| both to all C and to no C. In general, if there is 158 I, 17| Let A be white, B man, C horse. It is possible then 159 I, 17| belong nor not to belong to C. That it is not possible 160 I, 18| B, but can belong to all C. If the negative proposition 161 I, 18| hypothesi can belong to all C: so a syllogism is made, 162 I, 18| that B may belong to no C. Similarly also if the minor 163 I, 18| that B may belong to no C, as before: for we shall 164 I, 19| B, but may belong to all C. If the negative premiss 165 I, 19| capable of belonging to all C: so once more a conclusion 166 I, 19| that B may belong to no C. But at the same time it 167 I, 19| B will not belong to any C. For assume that it does: 168 I, 19| necessarily belongs to all C. When the terms are arranged 169 I, 19| necessarily does not belong to C. Let A be white, B man, 170 I, 19| Let A be white, B man, C swan. White then necessarily 171 I, 19| that B should belong to C: for nothing prevents C 172 I, 19| C: for nothing prevents C falling under B, A being 173 I, 19| necessarily belonging to C; e.g. if C stands for "awake", 174 I, 19| belonging to C; e.g. if C stands for "awake", B for " 175 I, 19| possibly may not belong to C: if the premisses are converted 176 I, 19| may possibly belong to all C: thus we have the first 177 I, 19| necessarily will not belong to C; e.g. suppose that A is 178 I, 19| that A is white, B swan, C man. Nor can the opposite 179 I, 19| necessarily does not belong to C. A syllogism then is not 180 I, 20| possibly belong to every C. Since then the affirmative 181 I, 20| possibly belong to every C, it follows that C may possibly 182 I, 20| every C, it follows that C may possibly belong to some 183 I, 20| A is possible for every C, and C is possible for some 184 I, 20| possible for every C, and C is possible for some of 185 I, 20| may possibly belong to no C, but B may possibly belong 186 I, 20| may possibly belong to all C, it follows that A may possibly 187 I, 20| may possibly not belong to C, if "may possibly belong" 188 I, 20| may possibly belong to all C, and B to some C. We shall 189 I, 20| to all C, and B to some C. We shall have the first 190 I, 20| if A is possible for all C, and C for some of the Bs, 191 I, 20| possible for all C, and C for some of the Bs, then 192 I, 21| suppose that A belongs to all C, and B may possibly belong 193 I, 21| may possibly belong to all C. If the proposition BC is 194 I, 21| Suppose that B belongs to all C, and A may possibly not 195 I, 21| possibly not belong to some C: it follows that may possibly 196 I, 21| assumed) belongs to all C, A will necessarily belong 197 I, 21| necessarily belong to all C: for this has been proved 198 I, 21| possibly not belong to some C.~Whenever both premisses 199 I, 22| necessarily belongs to all C, and B may possibly belong 200 I, 22| may possibly belong to all C. Since then A must belong 201 I, 22| then A must belong to all C, and C may belong to some 202 I, 22| must belong to all C, and C may belong to some B, it 203 I, 22| may possibly belong to no C, but B necessarily belongs 204 I, 22| necessarily belongs to all C. We shall have the first 205 I, 22| necessarily does not belong to C, but B may belong to all 206 I, 22| but B may belong to all C. If the affirmative proposition 207 I, 22| possibly not belong to some C, and that it did not belong 208 I, 22| it did not belong to some C; consequently here it follows 209 I, 23| A should be asserted of C, but C should not be asserted 210 I, 23| should be asserted of C, but C should not be asserted of 211 I, 23| or something different of C, nothing prevents a syllogism 212 I, 23| premisses taken. Nor when C belongs to something else, 213 I, 23| either by predicating A of C, and C of B, or C of both, 214 I, 23| predicating A of C, and C of B, or C of both, or both 215 I, 23| predicating A of C, and C of B, or C of both, or both of C), 216 I, 23| or C of both, or both of C), and these are the figures 217 I, 24| should assume that the angle C is equal to the angle D, 218 I, 25| through the propositions C and D, or through the propositions 219 I, 25| propositions A and B, or A and C, or B and C. For nothing 220 I, 25| B, or A and C, or B and C. For nothing prevents there 221 I, 25| are many, e.g. A and B and C. But if this can be called 222 I, 25| it cannot be reached as C is established by means 223 I, 25| from the premisses A, B, C, and D. It is necessary 224 I, 25| be E or one or other of C and D, or something other 225 I, 25| its sole premisses. But if C and D are so related that 226 I, 25| with one another. But if C is not so related to D as 227 I, 25| conclusion, and if from C and D either A or B follows 228 I, 25| conclusion follows from C and D, it turns out that 229 I, 25| means of the middle terms C and D, the number of the 230 I, 28| the antecedents of A by C, attributes which cannot 231 I, 28| belongs to all E, and A to all C, consequently A belongs 232 I, 28| consequently A belongs to all E. If C and G are identical, A must 233 I, 28| of the Es: for A follows C, and E follows all G. If 234 I, 28| look to KC rather than to C alone. For if A belongs 235 I, 28| belong to some E, whenever C and G are apprehended to 236 I, 28| cannot belong to E, e.g. C with H, we have the first 237 I, 28| term are identical, e.g. C and H, both premisses are 238 I, 31| mortal by B, and immortal by C, and let man, whose definition 239 I, 31| is A is all either B or C. Again, always dividing, 240 I, 31| that every D is either B or C, consequently man must be 241 I, 31| mortal animal, B as footed, C as footless, and D as man, 242 I, 31| inheres either in B or in C (for every mortal animal 243 I, 31| commensurate", B for "length", C for "diagonal". It is clear 244 I, 33| is stated of B, and B of C: it would seem that a syllogism 245 I, 33| as an object of thought", C "Aristomenes". It is true 246 I, 33| eternal. But B also belongs to C: for Aristomenes is Aristomenes 247 I, 33| But A does not belong to C: for Aristomenes is perishable. 248 I, 33| is perishable. Again let C stand for "Miccalus", B 249 I, 33| is true to predicate B of C: for Miccalus is musical 250 I, 33| to-morrow. But to state A of C is false at any rate. This 251 I, 34| to be health, B disease, C man. It is true to say that 252 I, 34| that B belongs to every C (for every man is capable 253 I, 35| angles, B for triangle, C for isosceles triangle. 254 I, 35| triangle. A then belongs to C because of B: but A belongs 255 I, 38| it is good", B for good, C for justice. It is true 256 I, 38| is true to predicate B of C. For justice is identical 257 I, 38| but B will not be true of C. For to predicate of justice 258 I, 38| stand for "something", and C stand for "good". It is 259 I, 38| something. B too is true of C: for that which C represents 260 I, 38| true of C: for that which C represents is something. 261 I, 38| Consequently A is true of C: there will then be knowledge 262 I, 38| that it is, B for being, C for good. Clearly then in 263 I, 41| prevents B from belonging to C, though not to all C: e.g. 264 I, 41| to C, though not to all C: e.g. let B stand for beautiful, 265 I, 41| stand for beautiful, and C for white. If beauty belongs 266 I, 41| whether B belongs to all C or merely belongs to C, 267 I, 41| all C or merely belongs to C, it is not necessary that 268 I, 41| belong, I do not say to all C, but even to C at all. But 269 I, 41| say to all C, but even to C at all. But if A belongs 270 I, 41| prevents B belonging to C, and yet A not belonging 271 I, 41| yet A not belonging to all C or to any C at all. If then 272 I, 41| belonging to all C or to any C at all. If then we take 273 I, 45| belongs to no B, and B to all C, then A belongs to no C. 274 I, 45| C, then A belongs to no C. Thus the first figure; 275 I, 45| belongs to no A, and to all C. Similarly if the syllogism 276 I, 45| belongs to no B, and B to some C. Convert the negative statement 277 I, 45| belong to no B and to all C. Convert the negative statement, 278 I, 45| belong to no A and A to all C. But if the affirmative 279 I, 45| concerns B, and the negative C, C must be made first term. 280 I, 45| concerns B, and the negative C, C must be made first term. 281 I, 45| be made first term. For C belongs to no A, and A to 282 I, 45| and A to all B: therefore C belongs to no B. B then 283 I, 45| B. B then belongs to no C: for the negative statement 284 I, 45| belongs to no B and to some C: convert the negative statement 285 I, 45| belong to no A and A to some C. But when the affirmative 286 I, 45| to all B, but not to all C: for the statement AB does 287 I, 45| belong to all B and B to some C. Since the particular affirmative 288 I, 45| affirmative is convertible, C will belong to some B: but 289 I, 45| belong to no B, and to some C.~Of the syllogisms in the 290 I, 45| and B be affirmed of all C: then C can be converted 291 I, 45| affirmed of all C: then C can be converted partially 292 I, 45| partially with either A or B: C then belongs to some B. 293 I, 45| figure, if A belongs to all C, and C to some of the Bs. 294 I, 45| A belongs to all C, and C to some of the Bs. If A 295 I, 45| Bs. If A belongs to all C and B to some C, the argument 296 I, 45| belongs to all C and B to some C, the argument is the same: 297 I, 45| convertible in reference to C. But if B belongs to all 298 I, 45| But if B belongs to all C and A to some C, the first 299 I, 45| belongs to all C and A to some C, the first term must be 300 I, 45| B: for B belongs to all C, and C to some A, therefore 301 I, 45| B belongs to all C, and C to some A, therefore B belongs 302 I, 45| way. Let B belong to all C, and A to no C: then C will 303 I, 45| belong to all C, and A to no C: then C will belong to some 304 I, 45| all C, and A to no C: then C will belong to some B, and 305 I, 45| belong to some B, and A to no C; and so C will be middle 306 I, 45| B, and A to no C; and so C will be middle term. Similarly 307 I, 45| for A will belong to no C, and C to some of the Bs. 308 I, 45| will belong to no C, and C to some of the Bs. But if 309 I, 45| e.g. if B belongs to all C, and A not belong to some 310 I, 45| and A not belong to some C: convert the statement BC 311 I, 45| belongs to no B and to some C, both B and C alike are 312 I, 45| and to some C, both B and C alike are convertible in 313 I, 45| that B belongs to no A and C to some A. A therefore is 314 I, 45| to all B, and not to some C, resolution will not be 315 I, 45| e.g. if A belongs to no C, and B to some or all C. 316 I, 45| C, and B to some or all C. For C then will belong 317 I, 45| B to some or all C. For C then will belong to no A 318 I, 46| for "not to be good", let C stand for "to be not-good" 319 I, 46| the same thing; and either C or D will belong to everything, 320 I, 46| belong to everything to which C belongs. For if it is true 321 I, 46| denial must belong. But C does not always belong to 322 I, 46| which A belongs. For either C or D belongs to everything 323 I, 46| is clear also that A and C cannot together belong to 324 I, 46| equal", B for "not equal", C for "unequal", D for "not 325 I, 46| to everything, and again C and D are related in the 326 I, 46| same way, and A follows C but the relation cannot 327 I, 46| the same thing, but B and C cannot. First it is clear 328 I, 46| follows B. For since either C or D necessarily belongs 329 I, 46| to everything; and since C cannot belong to that to 330 I, 46| must follow B. Again since C does not reciprocate with 331 I, 46| reciprocate with but A, but C or D belongs to everything, 332 I, 46| the same thing. But B and C cannot belong to the same 333 I, 46| thing, because A follows C; and so something impossible 334 I, 46| not belong to: and again C and D are related in the 335 I, 46| follows everything which C follows: it will result 336 I, 46| stands for the negation of C and D. It is necessary then 337 I, 46| belong. And again either C or H must belong to everything: 338 I, 46| everything ever thing to which C belongs. Therefore H belongs 339 I, 46| this. If then A follows C, B must follow D". But this 340 I, 46| not-good". Similarly also with C and D. For two negations 341 II, 1 | conclusion AB is proved through C, whatever is subordinate 342 II, 1 | whatever is subordinate to B or C must accept the predicate 343 II, 1 | Again if E is included in C as in a whole, and C is 344 II, 1 | in C as in a whole, and C is included in A, then E 345 II, 1 | belongs to no B and to all C; we conclude that B belongs 346 II, 1 | conclude that B belongs to no C. If then D is subordinate 347 II, 1 | then D is subordinate to C, clearly B does not belong 348 II, 1 | syllogism that B belongs to no C, it has been assumed without 349 II, 1 | belongs to all B and B to some C. Nothing can be inferred 350 II, 1 | which is subordinate to C; something can be inferred 351 II, 2 | belongs to all that to which C belongs, it is necessary 352 II, 2 | belong to all that to which C belongs, and this cannot 353 II, 2 | A belong to the whole of C, but to none of the Bs, 354 II, 2 | neither let B belong to C. This is possible, e.g. 355 II, 2 | belong to all B and B to all C, A will belong to all C; 356 II, 2 | C, A will belong to all C; consequently though both 357 II, 2 | nor B should belong to any C, although A belongs to all 358 II, 2 | belong to no B, and B to all C. If then the premiss BC 359 II, 2 | belonged, and B belonged to all C. Similarly there cannot 360 II, 2 | belongs to all B, and B to all C, but while the true premiss 361 II, 2 | For A will belong to all C, since A belongs to everything 362 II, 2 | B belongs, and B to all C. It is clear then that when 363 II, 2 | For if A belongs to all C and to some B, and if B 364 II, 2 | and if B belongs to all C, e.g. animal to every swan 365 II, 2 | belongs to all B, and B to all C, A will belong to all C 366 II, 2 | C, A will belong to all C truly: for every swan is 367 II, 2 | belong to some B and to no C, and that B should belong 368 II, 2 | that B should belong to all C, e.g. animal to some white 369 II, 2 | belongs to no B, and B to all C, then will belong to no 370 II, 2 | then will belong to no C.~(5) But if the premiss 371 II, 2 | belonging to all B and to all C, though B belongs to no 372 II, 2 | though B belongs to no C, e.g. these being species 373 II, 2 | belongs to all B and B to all C, the conclusion will be 374 II, 2 | neither to any B nor to any C, and that B should not belong 375 II, 2 | should not belong to any C, e.g. a genus to species 376 II, 2 | belongs to no B, and B to all C, the conclusion will be 377 II, 2 | to the whole of B and of C, while B belongs to some 378 II, 2 | while B belongs to some C, e.g. a genus to its species 379 II, 2 | belongs to all B, and B to all C, A will belong to all C: 380 II, 2 | C, A will belong to all C: and this ex hypothesi is 381 II, 2 | belong to any B nor to any C, though B belongs to some 382 II, 2 | though B belongs to some C, e.g. a genus to the species 383 II, 2 | belongs to no B, and B to all C, will belong to no C: and 384 II, 2 | all C, will belong to no C: and this ex hypothesi is 385 II, 2 | belonging to no B, but to some C, and B to some C, e.g. animal 386 II, 2 | to some C, and B to some C, e.g. animal belongs to 387 II, 2 | whole of B, and B to some C, then the premiss BC is 388 II, 2 | whole of B, but not to some C, although B belongs to some 389 II, 2 | although B belongs to some C, e.g. animal belongs to 390 II, 2 | B but B belongs to some C, the conclusion will be 391 II, 2 | belonging both to B and to some C, and B belonging to some 392 II, 2 | and B belonging to some C, e.g. animal to something 393 II, 2 | to all B, and B to some C, the a premiss AB will be 394 II, 2 | the whole of B and to some C, while B belongs to no C, 395 II, 2 | C, while B belongs to no C, e.g. animal to every swan 396 II, 2 | to all B, and B to some C, the conclusion will be 397 II, 2 | to no B, and not to some C, while B belongs to no C, 398 II, 2 | C, while B belongs to no C, e.g. a genus to the species 399 II, 2 | belongs to no B, and B to some C, then A will not belong 400 II, 2 | will not belong to some C, which ex hypothesi is true. 401 II, 2 | belonging to some B and to some C, though B belongs to no 402 II, 2 | though B belongs to no C, e.g. if B is the contrary 403 II, 2 | if B is the contrary of C, and both are accidents 404 II, 2 | to all B, and B to some C, the conclusion will be 405 II, 2 | belong to no B and to some C, while B belongs to no C, 406 II, 2 | C, while B belongs to no C, e.g. a genus in relation 407 II, 2 | belongs to all B and B to some C, the conclusion will be 408 II, 2 | whole of B, and not to some C, while B belongs to no C, 409 II, 2 | C, while B belongs to no C, e.g. animal belongs to 410 II, 2 | belongs to no B, and B to some C, then A does not belong 411 II, 2 | does not belong to some C. The conclusion then is 412 II, 3 | belongs to no B and to all C, e.g. animal to no stone 413 II, 3 | belongs to all B and to no C, though the premisses are 414 II, 3 | belongs to all B and to no C: for we shall have the same 415 II, 3 | belonging to all B and to all C, though B belongs to no 416 II, 3 | though B belongs to no C, e.g. a genus to its co-ordinate 417 II, 3 | belong to some B and to all C, though B belongs to no 418 II, 3 | though B belongs to no C, e.g. animal to some white 419 II, 3 | no B, but to the whole of C, the premiss AB is partially 420 II, 3 | belonging to some B, but not to C as a whole, while B belongs 421 II, 3 | whole, while B belongs to no C, e.g. animal belongs to 422 II, 3 | the whole of B, but to no C, the premiss AB is partially 423 II, 3 | belong to some B and to some C, and B to no C, e.g. animal 424 II, 3 | and to some C, and B to no C, e.g. animal to some white 425 II, 3 | belongs to all B and to no C, both premisses are partially 426 II, 3 | belonging to all B and to some C, though B does not belong 427 II, 3 | does not belong to some C, e.g. animal to every man 428 II, 3 | belongs to no B and to some C, the universal premiss is 429 II, 3 | to no B, and not to some C, though B does not belong 430 II, 3 | does not belong to some C, e.g. animal belongs to 431 II, 3 | to all B and not to some C, the premiss AB which is 432 II, 3 | following neither B nor C at all, while B does not 433 II, 3 | does not belong to some C, e.g. animal belongs to 434 II, 3 | belongs to no B and to some C, the conclusion will be 435 II, 3 | belong both to B and to C as wholes, though B does 436 II, 3 | though B does not follow some C, e.g. a genus in relation 437 II, 3 | does not belong to some C, the universal premiss is 438 II, 3 | belong both to B and to C as wholes, though B does 439 II, 3 | though B does not follow some C. For if it is assumed that 440 II, 3 | belongs to no B and to some C, the premisses are both 441 II, 3 | should follow no B and all C, though B does not belong 442 II, 3 | does not belong to some C, e.g. animal follows no 443 II, 3 | and not to follow some C, the premisses are false 444 II, 4 | B from belonging to any C, while A belongs to some 445 II, 4 | that A and B belong to all C, the premisses will be wholly 446 II, 4 | that B should belong to no C, but A to all C, and that 447 II, 4 | belong to no C, but A to all C, and that should not belong 448 II, 4 | assumed that B belongs to all C, and A to no C, A will not 449 II, 4 | belongs to all C, and A to no C, A will not belong to some 450 II, 4 | B from belonging to some C while A belongs to some 451 II, 4 | that A and B belong to all C, the premisses are partially 452 II, 4 | from belonging, to some C, while A does not belong 453 II, 4 | assumed that A belongs to no C, and B to all C, both premisses 454 II, 4 | belongs to no C, and B to all C, both premisses are partly 455 II, 4 | and B should follow all C, though A does not belong 456 II, 4 | belongs to the whole of C, but A does not belong to 457 II, 4 | but A does not belong to C at all, the premiss BC will 458 II, 4 | prevents B from following all C, and A from not belonging 459 II, 4 | A from not belonging to C at all, though A belongs 460 II, 4 | A and B belong to every C, the premiss BC is wholly 461 II, 4 | that B should belong to all C, and A to some C, while 462 II, 4 | to all C, and A to some C, while A belongs to some 463 II, 4 | B belong to the whole of C, the premiss BC is wholly 464 II, 4 | should belong to the whole of C, and A to some C, and, when 465 II, 4 | whole of C, and A to some C, and, when they are so, 466 II, 4 | belongs to the whole of C, and A to no C, the negative 467 II, 4 | whole of C, and A to no C, the negative premiss is 468 II, 4 | that if A belongs to no C and B to some C, it is possible 469 II, 4 | belongs to no C and B to some C, it is possible that A should 470 II, 4 | should not belong to some C, it is clear that if the 471 II, 4 | assumed that A belongs to no C, and B to all C, the premiss 472 II, 4 | belongs to no C, and B to all C, the premiss AC is wholly 473 II, 4 | and since B is great that C should not be white, then 474 II, 4 | necessary if is white that C should not be white. And 475 II, 5 | prove that A belongs to all C, and it has been proved 476 II, 5 | assuming that A belongs to C, and C to B-so A belongs 477 II, 5 | that A belongs to C, and C to B-so A belongs to B: 478 II, 5 | viz. that B belongs to C. Or suppose it is necessary 479 II, 5 | prove that B belongs to C, and A is assumed to belong 480 II, 5 | is assumed to belong to C, which was the conclusion 481 II, 5 | reciprocally, e.g. if A and B and C are convertible with one 482 II, 5 | assumed that B belongs to all C, and C to all A, we shall 483 II, 5 | B belongs to all C, and C to all A, we shall have 484 II, 5 | Again if it is assumed that C belongs to all A, and A 485 II, 5 | to all A, and A to all B, C must belong to all B. In 486 II, 5 | then it is assumed that C belongs to all B, and B 487 II, 5 | assumed have been proved, and C must belong to A. It is 488 II, 5 | that is being proved: for C is proved of B, and B of 489 II, 5 | and B of by assuming that C is said of and C is proved 490 II, 5 | assuming that C is said of and C is proved of A through these 491 II, 5 | follows. Let B belong to all C, and A to none of the Bs: 492 II, 5 | assumed) A must belong to no C, and C to all B: thus the 493 II, 5 | must belong to no C, and C to all B: thus the previous 494 II, 5 | prove that B belongs to C, the proposition AB must 495 II, 5 | that B should belong to all C. Consequently each of the 496 II, 5 | has been proved of some C through B. If then it is 497 II, 5 | retained, B will belong to some C: for we obtain the first 498 II, 6 | belong to all B, and to no C: we conclude that B belongs 499 II, 6 | conclude that B belongs to no C. If then it is assumed that 500 II, 6 | that A should belong to no C: for we get the second figure,